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112 x402 pay-per-call tools: web data, security/OSINT, SEC and public data, Solana/EVM lookups

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Status
Healthy
Uptime
100.0% over the last 24 hours
Last Tested
Transport
Streamable HTTP · MCP 2025-11-25
URL
ChatGPT
–
Claude
–

TDQS

B3.1/5.0

Scored across 1012 tools

Disambiguation1/5

With 1012 tools, many are near-duplicates or overlapping concepts: collatz_next/collatz_step, collatz_steps/collatz_length, mod_inv/mod_inverse, squarefree_part/square_free_part, alt_factorial/alternating_factorial, hof_g/hofstadter, etc. An agent cannot reliably choose among hundreds of micro-functions, and overlapping synonym families make selection highly ambiguous.

Naming Consistency3/5

Most names are lower snake_case, but identical or near-identical concepts are named inconsistently (abbreviated vs full: alt_ vs alternating_, hof_ vs hofstadter_, mod_inv vs mod_inverse; squarefree vs square_free). Within individual families suffixes like _sum/_count/_next/_mod are consistent, but the global set has too many aliases to be called predictable.

Tool Count1/5

1012 tools is far beyond any reasonable scoped MCP tool surface; it is an endpoint marketplace rather than a cohesive toolset. Each micro-function may be individually useful, but the count is extreme and unmanageable.

Completeness4/5

The surface is extraordinarily broad, covering number theory, crypto, web, security, finance, geospatial, text and more, with many variants per utility family, so there are few obvious missing operations for a paid-utility API. However the lack of a coherent domain and heavy duplication makes completeness hard to meaningfully assess.

Available Tools

1012 tools
abi_encodeAbi EncodeA
Read-onlyIdempotent
Inspect

Build EVM calldata offline: function selector + ABI-encoded arguments from a human signature such as transfer(address,uint256) or exactInputSingle((address,address,uint24,address,uint256,uint256,uint160)). Tuples/structs, fixed and dynamic arrays, bytes, strings and signed ints supported. mode=params gives abi.encode without a selector, mode=packed gives abi.encodePacked plus its keccak256 (as used for hashes and signatures). Returns hex, 32-byte words and length. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/abi-encode

Inputs: signature (required), args, mode.

abundanceAbundanceA
Read-onlyIdempotent
Inspect

sigma(n) minus 2n. A perfect number gives 0, an abundant number gives a positive value, and a deficient number gives a negative value. 12 gives 4, 6 gives 0, 10 gives -2, and 1 gives -1. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/abundance

Inputs: n (required).

abundancyAbundancyA
Read-onlyIdempotent
Inspect

The abundancy sigma(n)/n as a reduced fraction. 1 is 1/1, 4 is 7/4, 6 is 2/1, and 12 is 7/3. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/abundancy

Inputs: n (required).

achillesAchillesA
Read-onlyIdempotent
Inspect

Whether n is an Achilles number: powerful, but not a perfect power. 72 and 108 are Achilles. 36 is a square, and 1 is a perfect power, so neither is Achilles. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/achilles

Inputs: n (required).

additive_persistenceAdditive PersistenceA
Read-onlyIdempotent
Inspect

Additive persistence: how many times the decimal digits of n must be summed to reach a single digit, and that digit. 199 takes 3 steps and ends at 1. A single digit takes 0 steps. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/additive-persistence

Inputs: n (required).

airport_statusAirport StatusA
Read-onlyIdempotent
Inspect

US airport delay status from the FAA NAS Status feed (ground delay programs, ground stops, closures, arrival/departure delays) plus OurAirports metadata (name, city, ICAO/IATA, lat/lon). Pass ?airport=SFO (IATA) or KSFO (ICAO), or omit for a nationwide overview. Public-domain sources. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/airport-status

Inputs: airport.

aliquotAliquotA
Read-onlyIdempotent
Inspect

The aliquot part of n, the sum of proper divisors. The aliquot part of 1 is 0, of 9 is 4, and of 6 is 6. n runs from 1 to 1000000000000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/aliquot

Inputs: n (required).

almost_perfectAlmost PerfectA
Read-onlyIdempotent
Inspect

Whether sigma(n) = 2*n - 1. Powers of two, including 1, are almost perfect. 16 gives sigma 31. 6 and 10 are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/almost-perfect

Inputs: n (required).

alternating_factorialAlternating FactorialB
Read-onlyIdempotent
Inspect

The alternating factorial a(n) = n! - a(n-1), with a(1) = 1. a(3) is 5, a(4) is 19, a(5) is 101, a(6) is 619, and a(8) is 35899. n runs from 1 to 18. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/alternating-factorial

Inputs: n (required).

alternating_modAlternating ModA
Read-onlyIdempotent
Inspect

The alternating factorial a(n) modulo m. a(5) mod 10 is 1, a(6) mod 100 is 19, and a(4) mod 5 is 4. n runs from 1 to 18 and m runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/alternating-mod

Inputs: m (required), n (required).

alternating_nextAlternating NextA
Read-onlyIdempotent
Inspect

The smallest m at least n, and at most 12, whose alternating factorial is prime. 1 gives 3, 3 stays 3, and 9 gives 10. If none remains through 12, the input is rejected. n runs from 1 to 12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/alternating-next

Inputs: n (required).

alternating_primeAlternating PrimeA
Read-onlyIdempotent
Inspect

Whether the alternating factorial a(n) is prime. It is for 3, 4, 5, 6, 7, 8, and 10. It is not for 1, 2, 9, or 12. n runs from 1 to 12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/alternating-prime

Inputs: n (required).

alternating_sumAlternating SumA
Read-onlyIdempotent
Inspect

The sum of the alternating factorials from 1 through n. Through 1 it is 1, through 3 it is 7, through 5 it is 127, through 6 it is 746, and through 8 it is 41066. n runs from 1 to 18. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/alternating-sum

Inputs: n (required).

alt_factorialAlt FactorialA
Read-onlyIdempotent
Inspect

The alternating factorial af(n) = n! - (n-1)! + (n-2)! - ... ending at 1. af(1) is 1, af(3) is 5, and af(4) is 19. n runs from 1 to 200. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/alt-factorial

Inputs: n (required).

alt_sumAlt SumA
Read-onlyIdempotent
Inspect

The sum of alternating factorials from lo through hi inclusive. The sum from af(1) through af(5) is 127. lo must not pass hi. Each index runs from 1 to 200. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/alt-sum

Inputs: hi (required), lo (required).

amicableAmicableA
Read-onlyIdempotent
Inspect

Whether n is amicable, and its partner when it is. The partner of 220 is 284, and the partner of 284 is 220. A perfect number such as 6 is not amicable, and then the partner is 0. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/amicable

Inputs: n (required).

aperyAperyA
Read-onlyIdempotent
Inspect

The Apery number A(n), the sum of C(n,k)^2 * C(n+k,k)^2 for k from 0 to n. A(0) is 1, A(1) is 5, A(2) is 73, A(3) is 1445, and A(5) is 819005. n runs from 0 to 11. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/apery

Inputs: n (required).

apery_modApery ModA
Read-onlyIdempotent
Inspect

A(n) modulo m. A(1) mod 2 is 1, A(5) mod 10 is 5, and A(8) mod 1000 is 425. n runs from 0 to 11 and m runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/apery-mod

Inputs: m (required), n (required).

apery_primeApery PrimeA
Read-onlyIdempotent
Inspect

Whether the Apery number A(n) is prime. A(1) and A(2) are prime. A(0), A(3), A(5), and A(8) are not. n runs from 0 to 11. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/apery-prime

Inputs: n (required).

apery_sumApery SumA
Read-onlyIdempotent
Inspect

The sum of the Apery numbers A(0) through A(n). Through 0 it is 1, through 2 it is 79, and through 5 it is 853530. n runs from 0 to 11. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/apery-sum

Inputs: n (required).

apery_termApery TermA
Read-onlyIdempotent
Inspect

One summand of the Apery number, C(n,k)^2 * C(n+k,k)^2. The k=1 summand of A(2) is 36 and the k=0 summand is 1. A k past n is 0. n and k run from 0 to 11. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/apery-term

Inputs: k (required), n (required).

arithmetic_countArithmetic CountA
Read-onlyIdempotent
Inspect

How many arithmetic numbers are at most n. Through 1 there is 1, through 2 there is 1, through 6 there are 4, through 15 there are 9, and through 20 there are 12. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/arithmetic-count

Inputs: n (required).

arithmetic_derivativeArithmetic DerivativeA
Read-onlyIdempotent
Inspect

The arithmetic derivative of n. 0 and 1 give 0, a prime gives 1, 4 gives 4, 6 gives 5, 8 gives 12, and 12 gives 16. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/arithmetic-derivative

Inputs: n (required).

arithmetic_meanArithmetic MeanA
Read-onlyIdempotent
Inspect

The average of the divisors of n, when that average is an integer. 1 gives 1, 3 gives 2, 6 gives 3, 7 gives 4, 15 gives 6, and 20 gives 7. A non-integer average is rejected. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/arithmetic-mean

Inputs: n (required).

arithmetic_nextArithmetic NextA
Read-onlyIdempotent
Inspect

The smallest arithmetic number that is at least n. 1 stays 1, 2 gives 3, 4 gives 5, 8 gives 11, and 13 stays 13. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/arithmetic-next

Inputs: n (required).

arithmetic_numberArithmetic NumberA
Read-onlyIdempotent
Inspect

Whether the average of the divisors of n is an integer. 1, 3, 6, 15, and 20 are. 2, 4, 8, and 12 are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/arithmetic-number

Inputs: n (required).

arithmetic_secondArithmetic SecondA
Read-onlyIdempotent
Inspect

The second arithmetic derivative of n. 6 goes 5 then 1. 8 goes 12 then 16. 4 stays 4. 0 and 1 stay 0. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/arithmetic-second

Inputs: n (required).

arithmetic_sumArithmetic SumA
Read-onlyIdempotent
Inspect

The sum of the arithmetic numbers that are at most n. Through 1 it is 1, through 6 it is 15, through 15 it is 75, and through 20 it is 131. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/arithmetic-sum

Inputs: n (required).

automorphicAutomorphicA
Read-onlyIdempotent
Inspect

Whether n^2 ends with n. 1, 5, 6, 25, 76, 376, 625, and 9376 do. 10 does not. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/automorphic

Inputs: n (required).

balanced_primeBalanced PrimeA
Read-onlyIdempotent
Inspect

Whether n is prime and equal to the average of the previous prime and the next prime. 5, 53, 157, and 1103 are. 2, 3, 7, and 11 are not. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/balanced-prime

Inputs: n (required).

balanced_ternaryBalanced TernaryA
Read-onlyIdempotent
Inspect

The balanced ternary digits of n. -1 is written as T. 0 is "0", 2 is "1T", 4 is "11", 5 is "1TT", and 6 is "1T0". n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/balanced-ternary

Inputs: n (required).

ballotBallotA
Read-onlyIdempotent
Inspect

The ballot number B(n, k) = (n-k+1)/(n+1) * binom(n+k, k), for 0 <= k <= n. B(n, n) is the nth Catalan number. k above n is rejected. Both indexes run up to 2048. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ballot

Inputs: k (required), n (required).

bank_id_validateBank Id ValidateA
Read-onlyIdempotent
Inspect

Validate bank routing identifiers offline (IBAN is covered by /v1/iban-validate): US ABA routing numbers (3-7-1 checksum, Federal Reserve district, thrift / electronic ranges), SWIFT / BIC (bank, ISO country, location, branch, test and passive BICs), Mexican CLABE (checksum, bank, plaza), Argentine CBU (both check digits), Canadian routing numbers (EFT 0YYYXXXXX and MICR XXXXX-YYY, institution names), UK sort codes, Australian BSB (bank and state) and Indian IFSC (bank). Auto-detects the type from the format. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/bank-id-validate

Inputs: value (required), type.

barcode_generateBarcode GenerateA
Read-onlyIdempotent
Inspect

Generate a 1D barcode as SVG (plus base64 data URI and the raw module pattern): Code 128 (any ASCII, automatic A / B / C subset switching for the shortest symbol), GS1-128 shipping / logistics labels from "(01)…(17)…(10)…" application identifiers (FNC1 separators, SSCC / GTIN check digits verified), EAN-13, EAN-8, UPC-A and ITF-14 (check digit computed when omitted, verified when given) and Code 39 (optional mod-43 check). Options: module width, bar height, quiet zone, human-readable text, colours. For product labels, shipping cartons, inventory and tickets. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/barcode-generate

Inputs: data (required), bg, fg, text, +5 more.

base_convertBase ConvertA
Read-onlyIdempotent
Inspect

Convert an integer from one base to another. Bases run from 2 to 36, and letters may be any case. A digit that is not valid in the source base is rejected. The result is the digit string in the target base. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/base-convert

Inputs: to (required), from (required), value (required).

baum_sweetBaum SweetA
Read-onlyIdempotent
Inspect

The Baum-Sweet bit of n. It is 1 when every run of 0s in the binary expansion has even length, and 0 when some run of 0s has odd length. b(0) is 1 and b(2) is 0. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/baum-sweet

Inputs: n (required).

beattyBeattyA
Read-onlyIdempotent
Inspect

The Beatty term floor(nsqrt(d)). floor(5sqrt(2)) is 7, and floor(2*sqrt(3)) is 3. n runs from 0 to 1000000 and d runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/beatty

Inputs: d (required), n (required).

beatty_sqrt2Beatty Sqrt2A
Read-onlyIdempotent
Inspect

floor(n*sqrt(2)). n=1 gives 1, n=2 gives 2, n=3 gives 4, n=5 gives 7, and n=10 gives 14. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/beatty-sqrt2

Inputs: n (required).

beatty_sqrt2_compBeatty Sqrt2 CompA
Read-onlyIdempotent
Inspect

The Beatty complement of sqrt(2), floor(n*(2+sqrt(2))). n=1 gives 3, n=2 gives 6, n=3 gives 10, and n=5 gives 17. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/beatty-sqrt2-comp

Inputs: n (required).

bellBellA
Read-onlyIdempotent
Inspect

The nth Bell number, the number of partitions of a set of n objects. B(0) and B(1) are 1, and B(5) is 52. n runs from 0 to 80. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bell

Inputs: n (required).

bell_sumBell SumA
Read-onlyIdempotent
Inspect

The sum of Bell numbers from lo through hi inclusive. lo must not pass hi. Each index runs from 0 to 80. Past 15 digits the sum is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bell-sum

Inputs: hi (required), lo (required).

bernoulliBernoulliA
Read-onlyIdempotent
Inspect

The nth Bernoulli number as a reduced fraction, from the Akiyama-Tanigawa algorithm. B0 is 1, B1 is 1/2, B2 is 1/6, and B4 is -1/30. Odd indices after 1 are 0. n runs from 0 to 40. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bernoulli

Inputs: n (required).

bernoulli_denomBernoulli DenomA
Read-onlyIdempotent
Inspect

The von Staudt denominator of B(m) for even m at least 2: the product of primes p such that p-1 divides m. The denominator of B2 is 6, and of B4 is 30. An odd m is rejected. m runs from 2 to 40. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bernoulli-denom

Inputs: m (required).

bernoulli_sumBernoulli SumA
Read-onlyIdempotent
Inspect

The sum of Bernoulli numbers B0 through Bn, as a reduced fraction. The sum through B1 is 3/2, and through B2 is 5/3. n runs from 0 to 40. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bernoulli-sum

Inputs: n (required).

betrothedBetrothedA
Read-onlyIdempotent
Inspect

Whether n and m are betrothed: the sum of proper divisors of n is m+1, and the sum for m is n+1, with m different from n. 48 pairs with 75, and 140 pairs with 195. The partner is 0 when n is not betrothed. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/betrothed

Inputs: n (required).

bezier_cubicBezier CubicA
Read-onlyIdempotent
Inspect

Point on a cubic Bezier at t, as an exact fraction. t is between 0 and 1. The arch (0,0), (0,1), (1,1), (1,0) at one half is (1/2, 3/4). Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bezier-cubic

Inputs: t (required), points (required).

bezier_derivativeBezier DerivativeB
Read-onlyIdempotent
Inspect

Control points of the derivative of a quadratic or cubic Bezier. A cubic derivative is a quadratic, and each control is the degree times the step to the next point. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bezier-derivative

Inputs: points (required).

bezier_quadraticBezier QuadraticA
Read-onlyIdempotent
Inspect

Point on a quadratic Bezier at t, as an exact fraction. (0,0), (1,1), (2,0) at one half is (1, 1/2). Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bezier-quadratic

Inputs: t (required), points (required).

bezier_splitBezier SplitA
Read-onlyIdempotent
Inspect

Split a quadratic or cubic Bezier at t by de Casteljau. Left and right are the two new control polygons, and they meet at the point on the curve. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bezier-split

Inputs: t (required), points (required).

bezier_tangentBezier TangentB
Read-onlyIdempotent
Inspect

Tangent vector of a quadratic or cubic Bezier at t. It is the derivative curve evaluated at t. The arch (0,0), (0,1), (1,1), (1,0) at one half has tangent (3/2, 0). Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bezier-tangent

Inputs: t (required), points (required).

big_omegaBig OmegaA
Read-onlyIdempotent
Inspect

The number of prime factors of n counted with multiplicity. Omega(1) is 0, Omega(4) is 2, and Omega(12) is 3. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/big-omega

Inputs: n (required).

binary_partitionBinary PartitionA
Read-onlyIdempotent
Inspect

The number of binary partitions of n, partitions into powers of two. b(0) is 1. Odd n copies b(n-1). Even n is b(n-1) plus b(n/2). b(1) is 1, b(4) is 4, and b(10) is 14. n runs from 0 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/binary-partition

Inputs: n (required).

binary_partition_sumBinary Partition SumA
Read-onlyIdempotent
Inspect

The sum of the binary partition numbers from b(0) through b(n). Through 0 it is 1, through 4 it is 10, through 10 it is 60, and through 20 it is 390. n runs from 0 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/binary-partition-sum

Inputs: n (required).

binomBinomA
Read-onlyIdempotent
Inspect

The binomial coefficient C(n, k). k must not exceed n, and both indexes run up to 4096. An optional modulus reduces the coefficient; zero is rejected. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/binom

Inputs: k (required), n (required), mod.

bit_lengthBit LengthA
Read-onlyIdempotent
Inspect

The bit length of n: 0 for 0, and one more than the position of the highest 1 bit otherwise. 1 has length 1, 255 has length 8, and 256 has length 9. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bit-length

Inputs: n (required).

bit_reverseBit ReverseA
Read-onlyIdempotent
Inspect

Reverse the lowest width bits of n. 13 reversed in width 4 is 11. 1 reversed in width 8 is 128. n must be smaller than 2^width. width runs from 1 to 62, and n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bit-reverse

Inputs: n (required), width (required).

bit_subsetBit SubsetA
Read-onlyIdempotent
Inspect

Whether every 1 bit of a is also a 1 bit of b. 3 is a bit-subset of 7. 3 is not a bit-subset of 5. 0 is a bit-subset of 0. Both run from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/bit-subset

Inputs: a (required), b (required).

biunitary_abundantBiunitary AbundantA
Read-onlyIdempotent
Inspect

Whether the bi-unitary divisors of n sum to more than 2n. 24 and 48 do. 6, 16, and 36 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/biunitary-abundant

Inputs: n (required).

biunitary_countBiunitary CountA
Read-onlyIdempotent
Inspect

How many bi-unitary divisors n has. 1 has 1, 4 and 9 have 2, 8 has 4, and 16 has 4. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/biunitary-count

Inputs: n (required).

biunitary_deficientBiunitary DeficientA
Read-onlyIdempotent
Inspect

Whether the bi-unitary divisors of n sum to less than 2n. 1, 16, and 36 do. 6, 24, and 48 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/biunitary-deficient

Inputs: n (required).

biunitary_perfectBiunitary PerfectA
Read-onlyIdempotent
Inspect

Whether the bi-unitary divisors of n sum to 2n. 6, 60, and 90 do. 16, 24, 36, and 48 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/biunitary-perfect

Inputs: n (required).

biunitary_sigmaBiunitary SigmaA
Read-onlyIdempotent
Inspect

The sum of the bi-unitary divisors of n. For a prime power p^e the exponents run from 0 through e, skipping the middle one when e is even. 6 gives 12, 16 gives 27, 36 gives 50, and 48 gives 108. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/biunitary-sigma

Inputs: n (required).

black_scholesBlack ScholesA
Read-onlyIdempotent
Inspect

European option pricing (Black-Scholes-Merton with continuous dividend yield): call and put prices, delta, gamma, vega, theta per day, rho, d1/d2 and probability of finishing in the money; with a market price it solves implied volatility. Works for equity, index and crypto options (set the yield to 0). Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/black-scholes

Inputs: spot (required), strike (required), daysToExpiry (required), type, +4 more.

bls_seriesBls SeriesA
Read-onlyIdempotent
Inspect

Any BLS time series by id (CPI, payrolls, unemployment, state/metro LAUS, PPI, JOLTS, ECI ...) for a year range: observations newest first with preliminary flags and footnotes, latest value, MoM / YoY change. Up to 25 series per call. Includes BLS retrieval date and disclaimer. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/bls-series

Inputs: series (required), endYear, startYear, latestOnly.

blumBlumB
Read-onlyIdempotent
Inspect

Whether n is a product of two distinct primes that are both 3 mod 4. 21, 33, and 77 are. 9, 15, 25, 35, and 49 are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/blum

Inputs: n (required).

blum_countBlum CountA
Read-onlyIdempotent
Inspect

How many Blum integers are at most n. Through 20 there are 0, through 21 there is 1, through 33 there are 2, and through 100 there are 6. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/blum-count

Inputs: n (required).

blum_factorsBlum FactorsA
Read-onlyIdempotent
Inspect

The two prime factors of a Blum integer, smaller first. 21 gives 3,7. 33 gives 3,11. 77 gives 7,11. A non-Blum integer is rejected. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/blum-factors

Inputs: n (required).

blum_nextBlum NextA
Read-onlyIdempotent
Inspect

The smallest Blum integer that is at least n. 1 gives 21, 22 gives 33, 34 gives 57, and 78 gives 93. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/blum-next

Inputs: n (required).

blum_sumBlum SumA
Read-onlyIdempotent
Inspect

The sum of the Blum integers that are at most n. Through 21 it is 21, through 33 it is 54, through 77 it is 257, and through 100 it is 350. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/blum-sum

Inputs: n (required).

bond_calcBond CalcA
Read-onlyIdempotent
Inspect

Fixed-coupon bond math: price from yield or yield to maturity from price (clean and dirty, with accrued interest for fractional periods), current yield, Macaulay and modified duration, convexity and DV01, plus the cash-flow schedule. Treasury, corporate or zero-coupon bonds; any coupon frequency. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/bond-calc

Inputs: couponRatePct (required), yearsToMaturity (required), price, ytmPct, +2 more.

brocardBrocardA
Read-onlyIdempotent
Inspect

Whether n! + 1 is a perfect square. 4! + 1 = 5^2, 5! + 1 = 11^2, and 7! + 1 = 71^2. The root is 0 when it is not a square. n runs from 1 to 12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/brocard

Inputs: n (required).

byte_sumByte SumA
Read-onlyIdempotent
Inspect

The two historic Unix sums, matching GNU sum. bsd rotates the 16-bit sum right and counts 1024-byte blocks. sysv reduces modulo 65535, keeps 65535 when the total is a positive multiple of it, and counts 512-byte blocks. "123456789" is bsd 53615 and sysv 477. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/byte-sum

Inputs: hex, text, algorithm.

cake_numberCake NumberA
Read-onlyIdempotent
Inspect

The cake number, the most pieces of space cut by n planes: (n^3 + 5*n + 6)/6. Zero planes give 1, three give 8, and five give 26. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cake-number

Inputs: n (required).

calkin_wilfCalkin WilfA
Read-onlyIdempotent
Inspect

The Calkin-Wilf tree. Give n to get the nth positive rational, starting at 1/1, or give a reduced num and den to get its index. The two answers must agree when both are sent. An unreduced fraction is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/calkin-wilf

Inputs: n, den, num.

cantor_bitCantor BitA
Read-onlyIdempotent
Inspect

The Cantor bit of n. It is 1 when every base-3 digit of n is 0 or 1, and 0 when a digit is 2. Bit 0 is 1, bit 2 is 0, and bit 4 is 1. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cantor-bit

Inputs: n (required).

cantor_countCantor CountA
Read-onlyIdempotent
Inspect

How many integers from 0 through n have only the digits 0 and 1 in base 3. The count through 0 is 1, through 2 is 2, and through 8 is 4. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cantor-count

Inputs: n (required).

card_validateCard ValidateA
Read-onlyIdempotent
Inspect

Payment card number checks without storing anything: Luhn checksum, brand / network from the IIN (Visa, Mastercard incl. 2-series, Amex, Discover, Diners, JCB, UnionPay, Maestro, Mir, Elo, Hipercard, Verve, RuPay, Dankort, Troy, UATP), allowed lengths, CVV length, card-number spacing, known public test numbers (Stripe, Braintree, Adyen) and expiry validity. Returns only the PCI-safe first 6 / last 4 — never the full number. Up to 100 numbers per call. POST so numbers stay out of URLs and logs. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/card-validate

Inputs: now, expiry, number, numbers.

carmichaelCarmichaelA
Read-onlyIdempotent
Inspect

Carmichael's lambda of n, the exponent of the multiplicative group mod n. lambda(1) is 1, lambda(8) is 2, lambda(p) is p-1, and lambda(15) is 4. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/carmichael

Inputs: n (required).

carmichael_countCarmichael CountA
Read-onlyIdempotent
Inspect

How many Carmichael numbers are at most n. Through 560 there are 0, through 561 there is 1, through 1729 there are 3, and through 10000 there are 7. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/carmichael-count

Inputs: n (required).

carmichael_factorsCarmichael FactorsA
Read-onlyIdempotent
Inspect

The prime factors of a Carmichael number, ascending and comma-separated. 561 gives 3,11,17. 1105 gives 5,13,17. 1729 gives 7,13,19. A non-Carmichael number is rejected. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/carmichael-factors

Inputs: n (required).

carmichael_nextCarmichael NextA
Read-onlyIdempotent
Inspect

The smallest Carmichael number that is at least n. 1 gives 561, 562 gives 1105, 2000 gives 2465, and 2822 gives 6601. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/carmichael-next

Inputs: n (required).

carmichael_numberCarmichael NumberA
Read-onlyIdempotent
Inspect

Whether n is a Carmichael number: composite, squarefree, and p-1 divides n-1 for every prime p dividing n. 561, 1105, and 1729 are. 1, 91, and 341 are not. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/carmichael-number

Inputs: n (required).

carmichael_sumCarmichael SumA
Read-onlyIdempotent
Inspect

The sum of the Carmichael numbers that are at most n. Through 561 it is 561, through 1105 it is 1666, through 1729 it is 3395, and through 8911 it is 24193. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/carmichael-sum

Inputs: n (required).

carolCarolA
Read-onlyIdempotent
Inspect

The nth Carol number, (2^n - 1)^2 - 2. n=1 gives -1, n=2 gives 7, and n=3 gives 47. n runs from 1 to 128. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/carol

Inputs: n (required).

cas_validateCas ValidateA
Read-onlyIdempotent
Inspect

CAS Registry Number check digit. Two to seven digits, a hyphen, two digits, a hyphen and a check digit. No leading zero. From the right, digits are weighted 1, 2, 3 and the total mod 10 is the check. A number typed without hyphens is split the same way. This does not look the substance up. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/cas-validate

Inputs: value (required).

catalanCatalanA
Read-onlyIdempotent
Inspect

The nth Catalan number. C0 and C1 are 1, C2 is 2, C3 is 5, and C_n = binom(2n, n) / (n+1). n runs from 0 to 2048. An optional modulus reduces the term; zero is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/catalan

Inputs: n (required), mod.

cayleyCayleyA
Read-onlyIdempotent
Inspect

The number of trees on n labeled vertices, n^(n-2). One vertex gives 1, two give 1, three give 3, and four give 16. n runs from 1 to 30. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cayley

Inputs: n (required).

cayley_rootedCayley RootedA
Read-onlyIdempotent
Inspect

The number of rooted trees on n labeled vertices, n^(n-1). Four vertices give 64. n runs from 1 to 30. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cayley-rooted

Inputs: n (required).

census_geographiesCensus GeographiesA
Read-onlyIdempotent
Inspect

US Census Bureau geocoder: a one-line US street address (or a lat/lon) to matched address and coordinates plus Census geographies: state and county with FIPS codes, census tract, block group and block GEOID, place/city, congressional district, state legislative districts, ZCTA, metro/micro area and urban area where available. Public-domain US government data; useful for district lookups, data joins and address normalisation. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/census-geographies

Inputs: lat, lon, address.

centered_polygonalCentered PolygonalA
Read-onlyIdempotent
Inspect

The nth centered s-gonal number, sn(n-1)/2 + 1. Centered triangular 4 is 19, centered square 2 is 5, and centered hexagonal 3 is 19. s runs from 3 to 20 and n from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/centered-polygonal

Inputs: n (required), s (required).

central_binomialCentral BinomialA
Read-onlyIdempotent
Inspect

The nth central binomial coefficient (2n)!/(n!)^2. C(0) is 1, C(1) is 2, C(5) is 252, and C(10) is 184756. n runs from 0 to 200. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/central-binomial

Inputs: n (required).

central_indexCentral IndexA
Read-onlyIdempotent
Inspect

The index n with central binomial coefficient C(n) equal to value. 1 is index 0, and 2 is index 1. A number that is not a term, or a leading zero, is rejected. value is a decimal integer of at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/central-index

Inputs: value (required).

central_modCentral ModA
Read-onlyIdempotent
Inspect

C(n) mod m for the central binomial coefficients. C(10) mod 7 is 5. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 200. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/central-mod

Inputs: n (required), mod (required).

central_ratioCentral RatioA
Read-onlyIdempotent
Inspect

The ratio C(n)/C(n-1) = (4n-2)/n in lowest terms. For 1 it is 2/1, for 2 it is 3/1, and for 3 it is 10/3. n runs from 1 to 200. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/central-ratio

Inputs: n (required).

central_sumCentral SumA
Read-onlyIdempotent
Inspect

The sum of central binomial coefficients from lo through hi. The sum from C(0) through C(5) is 351. lo must not pass hi. Each index runs from 0 to 200. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/central-sum

Inputs: hi (required), lo (required).

cf_bestCf BestA
Read-onlyIdempotent
Inspect

Best rational approximation with a denominator up to maxDen. It searches the convergents and the intermediate fractions. 355/113 with maxDen 7 is 22/7. With maxDen 100 it is 311/99. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cf-best

Inputs: value (required), maxDen (required).

cf_convergentCf ConvergentB
Read-onlyIdempotent
Inspect

One convergent of a continued fraction. Index 0 is a0/1. The last index is the value itself. 13/8 at index 3 is 5/3. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cf-convergent

Inputs: index (required), terms (required).

cf_expandCf ExpandA
Read-onlyIdempotent
Inspect

Continued fraction of a non-negative rational, by the Euclidean algorithm. 13/8 is [1; 1, 1, 1, 2]. 355/113 is [3; 7, 16]. A trailing 1 is folded into the previous term, so this is the short form. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cf-expand

Inputs: value (required).

cf_sqrtCf SqrtB
Read-onlyIdempotent
Inspect

Continued fraction of a square root. sqrt(2) is [1; 2, 2, 2, ...] and the period is 1. sqrt(3) has period 2. A perfect square is one term and period 0. The period is the repeating length, even when fewer terms are requested. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/cf-sqrt

Inputs: s (required), count.

cf_valueCf ValueA
Read-onlyIdempotent
Inspect

Exact value of a continued fraction [a0; a1, a2, ...]. Later terms are at least 1. [3; 7, 15, 1] and [3; 7, 16] are both 355/113. The canonical field is the short Euclidean form. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cf-value

Inputs: terms (required).

champernowne_digitChampernowne DigitA
Read-onlyIdempotent
Inspect

The digit in place pos of 123456789101112..., counting from 1. Place 9 is 9, place 10 is 1, place 11 is 0, and place 190 is 1. pos runs from 1 to 999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/champernowne-digit

Inputs: pos (required).

champernowne_lenChampernowne LenA
Read-onlyIdempotent
Inspect

How many digits are used to write the integers from 1 through m. Through 9 there are 9, through 10 there are 11, through 13 there are 17, and through 100 there are 192. m runs from 1 to 999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/champernowne-len

Inputs: m (required).

champernowne_ownerChampernowne OwnerA
Read-onlyIdempotent
Inspect

Which integer owns place pos in the Champernowne digit stream. Place 10 and 11 belong to 10, place 12 belongs to 11, and place 190 belongs to 100. pos runs from 1 to 999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/champernowne-owner

Inputs: pos (required).

champernowne_placeChampernowne PlaceA
Read-onlyIdempotent
Inspect

Where place pos sits inside its integer, counting from 1 on the left. Place 10 is position 1 of 10, place 11 is position 2, and place 12 is position 1 of 11. pos runs from 1 to 999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/champernowne-place

Inputs: pos (required).

champernowne_startChampernowne StartA
Read-onlyIdempotent
Inspect

The first Champernowne place occupied by the integer m. 1 starts at 1, 10 starts at 10, 11 starts at 12, and 100 starts at 190. m runs from 1 to 999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/champernowne-start

Inputs: m (required).

chart_svgChart SvgA
Read-onlyIdempotent
Inspect

Render a chart to a standalone SVG (plus base64 data URI) for reports, dashboards, emails and agent answers: bar, horizontal bar, stacked bar, line, area, scatter, pie and donut. Multiple series with legend, "nice" axis ticks, compact number labels (1.2k, 3.4M), optional value labels, gaps for null values, rotated category labels when crowded, light / dark theme, custom colours and size. Accessible (title + aria-label). Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/chart-svg

Inputs: series (required), type, yMax, yMin, +10 more.

chebyshev_discChebyshev DiscC
Read-onlyIdempotent
Inspect

The Chebyshev discriminant identity T(n,x)^2 - (x^2-1)*U(n-1,x)^2 = 1. gap is that difference. n runs from 1 to 64. Past 15 digits t or u is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/chebyshev-disc

Inputs: n (required), x (required).

chebyshev_prodChebyshev ProdB
Read-onlyIdempotent
Inspect

The product identity 2*T(a,x)*T(b,x) = T(a+b,x) + T(|a-b|,x). twice is the left side and sum is the right side. a+b must be at most 64. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/chebyshev-prod

Inputs: a (required), b (required), x (required).

chebyshev_recChebyshev RecB
Read-onlyIdempotent
Inspect

One step of the Chebyshev recurrence. kind is t or u. prev is degree n-1, older is degree n-2, and value is 2xprev - older. n runs from 2 to 64. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/chebyshev-rec

Inputs: n (required), x (required), kind.

chebyshev_tChebyshev TA
Read-onlyIdempotent
Inspect

The Chebyshev polynomial of the first kind T(n,x) at an integer x. T(0,x) is 1, T(1,x) is x, and T(2,3) is 17. n runs from 0 to 64 and x from -1000 to 1000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/chebyshev-t

Inputs: n (required), x (required).

chebyshev_uChebyshev UA
Read-onlyIdempotent
Inspect

The Chebyshev polynomial of the second kind U(n,x) at an integer x. U(0,x) is 1, U(1,x) is 2*x, and U(3,2) is 56. n runs from 0 to 64 and x from -1000 to 1000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/chebyshev-u

Inputs: n (required), x (required).

chen_primeChen PrimeA
Read-onlyIdempotent
Inspect

Whether n is prime and n+2 is either prime or a product of two primes, counted with multiplicity. 2, 41, and 47 are. 43 is not, because 45 has three prime factors. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/chen-prime

Inputs: n (required).

chmod_applyChmod ApplyA
Read-onlyIdempotent
Inspect

Apply a chmod mode to a starting mode. The grammar is GNU chmod: symbolic [ugoa]([-+=][rwxXst] or one of ugo), comma separated, or =644 / +1, or a bare octal. No spaces. If who is omitted, bits set in umask are not changed; the default umask is 0. Explicit who ignores umask. X adds execute only on a directory, or when an execute bit is already set. On a directory, bare octal shorter than five digits keeps set-user-ID and set-group-ID; =755, 00755, or a symbolic s clears them. The sticky bit is not kept across = or bare octal. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/chmod-apply

Inputs: mode (required), spec (required), umask, directory.

cidr_calcCidr CalcA
Read-onlyIdempotent
Inspect

IPv4 / IPv6 subnet calculator: network and broadcast/last address, netmask, wildcard, first/last usable host, address and host counts, address type (private, CGNAT, documentation, ULA, link-local...), reverse-DNS zone, expanded/compressed IPv6; check whether IPs fall inside, and split the block into smaller subnets. Accepts CIDR, "ip netmask" or a single IP. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/cidr-calc

Inputs: cidr (required), contains, splitPrefix.

cipher_suite_infoCipher Suite InfoA
Read-onlyIdempotent
Inspect

Look up TLS cipher suites by IANA name, OpenSSL name, GnuTLS name or hex code (0x13,0x01 / 0xC02F) — one or a whole list from a scanner, server config or ClientHello — and get key exchange, authentication, cipher, MAC / PRF hash, AEAD and forward-secrecy flags, minimum protocol, the IANA Recommended flag (Y / N / Discouraged) and a security rating (recommended, secure, weak, insecure) with reasons: no forward secrecy, CBC, SHA-1, RC4, 3DES, EXPORT, NULL or anonymous. Lists get a summary and their worst suite. Without a suite, browse the 356-entry IANA registry filtered by protocol or rating. Offline data: IANA registry, OpenSSL 3.6 and GnuTLS names. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/cipher-suite-info

Inputs: limit, suite, rating, protocol.

cisa_kevCisa KevA
Read-onlyIdempotent
Inspect

CISA Known Exploited Vulnerabilities check: is a CVE (or up to 100) in CISA's KEV catalog, with date added, federal remediation due date, past-due flag, known ransomware use, required action and CWEs. Or search the catalog by vendor/product, recently added (?days=) or ransomware use. Complements /v1/cve-lookup (NVD). Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/cisa-kev

Inputs: cve, days, limit, vendor, +2 more.

clinical_trialsClinical TrialsA
Read-onlyIdempotent
Inspect

Search ClinicalTrials.gov (API v2) by condition, keyword, location, sponsor, recruitment status (or open/closed) and phase. Returns NCT id, title, status, phases, study type, conditions, interventions, lead sponsor, start and completion dates, enrollment, results flag, a short summary and up to 5 sites (ranked by your location), with total count and a page token. Informational only, not medical advice. Price: $0.02 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/clinical-trials

Inputs: sort, term, limit, phase, +5 more.

coin_checkCoin CheckA
Read-onlyIdempotent
Inspect

Whether n can be made with non-negative counts of coins a and b. 10 can be made with 2 and 5. 3 cannot. 0 can. a and b run from 1 to 10000, and n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/coin-check

Inputs: a (required), b (required), n (required).

coin_countCoin CountA
Read-onlyIdempotent
Inspect

How many positive integers cannot be made with coprime denominations a and b. The count is (a-1)*(b-1)/2. For 2 and 5 it is 2. For 4 and 7 it is 9. A pair that is not coprime is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/coin-count

Inputs: a (required), b (required).

coin_minCoin MinA
Read-onlyIdempotent
Inspect

The fewest coins of denominations a and b that sum to n. Making 10 with 2 and 5 takes 2 coins. An amount that cannot be made is rejected. a and b run from 1 to 10000, and n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/coin-min

Inputs: a (required), b (required), n (required).

coin_waysCoin WaysA
Read-onlyIdempotent
Inspect

The number of non-negative integer solutions of ax + by = n. Order of summands does not matter. There are 2 ways to make 10 with 2 and 5, and 0 ways to make 3. a and b run from 1 to 10000, and n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/coin-ways

Inputs: a (required), b (required), n (required).

collatz_dropCollatz DropA
Read-onlyIdempotent
Inspect

How many Collatz steps until the value is strictly below the start. 1 is already at the bottom and takes 0. 2 takes 1, 6 takes 1, 3 takes 6, and 7 takes 11. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-drop

Inputs: n (required).

collatz_glideCollatz GlideA
Read-onlyIdempotent
Inspect

The Collatz glide of n, the number of steps until a value strictly below n. The glide of 1 is 0, the glide of 6 is 1, and the glide of 7 is 11. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-glide

Inputs: n (required).

collatz_lengthCollatz LengthA
Read-onlyIdempotent
Inspect

The number of Collatz steps from n until 1. The length of 1 is 0, the length of 6 is 8, and the length of 27 is 111. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-length

Inputs: n (required).

collatz_maxCollatz MaxA
Read-onlyIdempotent
Inspect

The largest value on the Collatz path from n through 1, including n. 1 peaks at 1, 3 peaks at 16, 7 peaks at 52, and 27 peaks at 9232. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-max

Inputs: n (required).

collatz_nextCollatz NextA
Read-onlyIdempotent
Inspect

One Collatz step. An even number is halved and an odd number goes to 3n+1. 1 goes to 4, 2 goes to 1, 3 goes to 10, and 6 goes to 3. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-next

Inputs: n (required).

collatz_oddCollatz OddA
Read-onlyIdempotent
Inspect

How many odd terms appear before the Collatz path reaches 1. The final 1 is not counted. 1 and 2 give 0, 3 and 6 give 2, and 7 gives 5. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-odd

Inputs: n (required).

collatz_parityCollatz ParityA
Read-onlyIdempotent
Inspect

The parity of each term on the Collatz trajectory from n through 1. 0 is even and 1 is odd. The parity of 6 is 010100001. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-parity

Inputs: n (required).

collatz_peakCollatz PeakA
Read-onlyIdempotent
Inspect

The largest value on the Collatz trajectory from n through 1, including n. The peak of 1 is 1, the peak of 6 is 16, and the peak of 27 is 9232. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-peak

Inputs: n (required).

collatz_stepCollatz StepB
Read-onlyIdempotent
Inspect

One Collatz step. An even n is halved and an odd n becomes 3n+1. 6 goes to 3, and 1 goes to 4. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-step

Inputs: n (required).

collatz_stepsCollatz StepsA
Read-onlyIdempotent
Inspect

How many Collatz steps it takes to reach 1. 1 takes 0, 2 takes 1, 3 takes 7, 6 takes 8, 7 takes 16, and 27 takes 111. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/collatz-steps

Inputs: n (required).

color_convertColor ConvertA
Read-onlyIdempotent
Inspect

Convert a colour between HEX, RGB(A), HSL, HSV, CMYK, CIE Lab and OKLCH (any CSS colour syntax or one of the 148 CSS names in), with relative luminance, contrast against white and black, the readable text colour and the nearest CSS named colour (CIE76 delta-E). With a second colour it returns the WCAG 2.x contrast ratio and AA / AAA pass/fail for normal and large text and UI components. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/color-convert

Inputs: color (required), against.

color_paletteColor PaletteA
Read-onlyIdempotent
Inspect

Generate colour palettes from one base colour: complementary, analogous, triadic, split-complementary, tetradic and monochromatic schemes plus an 11-step 50-950 shade scale (Tailwind-style, perceptually even in OKLCH), each swatch with HEX, HSL, readable text colour and contrast ratios. Ready for design tokens and UI theming. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/color-palette

Inputs: color (required), schemes.

company_profileCompany ProfileA
Read-onlyIdempotent
Inspect

Company profile from its own website: name, description, logo, social profiles, contact emails/phones, postal address, schema.org Organization JSON-LD, OpenGraph/Twitter cards, plus RDAP domain registration basics (registered, expires, registrar). SSRF-safe fetch of the public page. Price: $0.03 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/company-profile

Inputs: url (required).

complexityComplexityA
Read-onlyIdempotent
Inspect

The integer complexity of n, the fewest 1s added and multiplied to reach n. 1 is 1, 6 is 5, 12 is 7, and 23 is 11. n runs from 1 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/complexity

Inputs: n (required).

complexity_countComplexity CountA
Read-onlyIdempotent
Inspect

How many integers from 1 through n have the same complexity as n. 5 has 1, 6 has 2, 10 has 1, and 12 has 2. n runs from 1 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/complexity-count

Inputs: n (required).

complexity_leastComplexity LeastA
Read-onlyIdempotent
Inspect

The smallest positive integer whose complexity is k. k=1 gives 1, k=6 gives 7, k=8 gives 11, k=11 gives 23, and k=12 gives 41. k runs from 1 to 19. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/complexity-least

Inputs: k (required).

complexity_maxComplexity MaxA
Read-onlyIdempotent
Inspect

The largest integer complexity attained from 1 through n. Through 1 it is 1, through 10 it is 7, and through 12 it is 8. n runs from 1 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/complexity-max

Inputs: n (required).

complexity_sumComplexity SumA
Read-onlyIdempotent
Inspect

The sum of the integer complexities from 1 through n. Through 1 it is 1, through 10 it is 45, and through 12 it is 60. n runs from 1 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/complexity-sum

Inputs: n (required).

compound_interestCompound InterestA
Read-onlyIdempotent
Inspect

Compound growth / savings calculator: future value of a principal plus monthly contributions at any compounding frequency (incl. continuous), contributions at start or end of month, inflation-adjusted value, APR <-> APY conversion, doubling time, months to reach a target and a yearly breakdown. Works for savings, staking yields and DCA projections. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/compound-interest

Inputs: years, apyPct, target, principal, +5 more.

contact_extractContact ExtractA
Read-onlyIdempotent
Inspect

Extract public business contact details from a website: email addresses (mailto, visible text incl. [at]/[dot] obfuscation, Cloudflare-protected, JSON-LD) tagged role/personal and same-domain, phone numbers (tel: links, JSON-LD, text), social profiles (LinkedIn, X/Twitter, Facebook, Instagram, YouTube, GitHub, TikTok, Mastodon, ...; share links ignored), JSON-LD organization name/address and contact-form URLs. Follows up to 3 same-site contact/impressum/about pages. SSRF-safe fetching; respect GDPR/CAN-SPAM when using results. Price: $0.02 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/contact-extract

Inputs: url (required), crawl, max_pages.

container_checkContainer CheckA
Read-onlyIdempotent
Inspect

ISO 6346 container check digit. Four letters (the fourth is U, J, Z or R), six serial digits and a check digit. Letter values skip every multiple of 11, then each value is multiplied by 2 to the power of its position. The total mod 11 mod 10 is the check digit. Spaces are ignored. This does not look the owner up at BIC. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/container-check

Inputs: value (required).

coord_convertCoord ConvertA
Read-onlyIdempotent
Inspect

Convert a location between coordinate formats in one call: decimal degrees, DMS, degrees-decimal-minutes, UTM (Krüger series, WGS-84, Norway / Svalbard zones), MGRS military grid, geohash (with cell size), Maidenhead ham-radio locator and Open Location Code (plus code). Auto-detects the input format, including free-form DMS like 40°26'46"N 79°58'56"W. Offline, deterministic. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/coord-convert

Inputs: input (required), from, mgrsDigits, geohashPrecision.

cosine_lawCosine LawA
Read-onlyIdempotent
Inspect

The cosine of the angle opposite side c, as a reduced rational (a^2+b^2-c^2)/(2ab). The sides must form a strict triangle. A right angle returns 0. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cosine-law

Inputs: a (required), b (required), c (required).

cototientCototientA
Read-onlyIdempotent
Inspect

The cototient n - totient(n): how many integers from 1 to n share a factor with n. 1 gives 0, 6 gives 4, 9 gives 3, and 10 gives 6. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cototient

Inputs: n (required).

cousin_primeCousin PrimeA
Read-onlyIdempotent
Inspect

Whether n and n+4 are both prime. 3 pairs with 7, and 7 pairs with 11. 5 does not pair with 9. n runs from 1 to 1000000000000. The partner is n+4. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cousin-prime

Inputs: n (required).

cows_indexCows IndexA
Read-onlyIdempotent
Inspect

The first index, counting from 1, where Narayana's cow sequence equals n. 0 means n is not a term. 1 is 1, 2 is 4, 4 is 6, 28 is 11, and 5 is 0. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cows-index

Inputs: n (required).

cows_modCows ModB
Read-onlyIdempotent
Inspect

Narayana's cow term a(n) modulo m. a(11) mod 5 is 3, and a(15) mod 10 is 9. n runs from 1 to 60 and m runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cows-mod

Inputs: m (required), n (required).

cows_nextCows NextA
Read-onlyIdempotent
Inspect

The smallest Narayana cow number that is at least n. 1 gives 1, 3 gives 3, 5 gives 6, and 130 gives 189. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cows-next

Inputs: n (required).

cows_sumCows SumA
Read-onlyIdempotent
Inspect

The sum of the first n Narayana cow numbers. The first term sums to 1, the first 3 sum to 3, the first 6 sum to 12, and the first 11 sum to 87. n runs from 1 to 60. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cows-sum

Inputs: n (required).

crc16Crc16A
Read-onlyIdempotent
Inspect

CRC-16 over text or hex bytes. Algorithms are CCITT-FALSE, ARC, XMODEM, KERMIT and MODBUS. The check string 123456789 is 29b1 in CCITT-FALSE. This is not CRC-32. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/crc16

Inputs: hex, text, algorithm.

creditor_refCreditor RefA
Read-onlyIdempotent
Inspect

ISO 11649 creditor reference. RF, two check digits, then up to 21 letters or digits. Spaces, hyphens, dots, commas, slashes and colons are ignored. The check moves RF and the two digits to the end and requires ISO 7064 mod 97-10 to be 1. This does not look the creditor up. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/creditor-ref

Inputs: value (required).

credit_payoffCredit PayoffA
Read-onlyIdempotent
Inspect

Credit-card and revolving-balance payoff in exact cents. Give a balance, an annual percentage rate, and a fixed payment (or a minimum that is the greater of a percent of the new balance and a floor). Returns the months to zero, total interest, total paid, and a yearly rollup. Interest each month is round-half-up of balance × APR / 12. The last payment is the remaining balance plus that month's interest. Refuses a payment that does not cover the interest. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/credit-payoff

Inputs: balance (required), ratePct (required), start, payment, +2 more.

cron_explainCron ExplainA
Read-onlyIdempotent
Inspect

Explain a standard 5-field cron expression in plain English and list its next N run times (default 5, max 20) in any IANA zone, DST-correct. Supports lists, ranges, steps (*/n, a-b/n), month/weekday names, 0 or 7 = Sunday and @yearly/@monthly/@weekly/@daily/@hourly/@reboot; applies cron's day-of-month OR day-of-week rule and notes it. Rejects invalid and never-firing expressions with a precise reason. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/cron-explain

Inputs: expr (required), tz, from, count.

crtCrtA
Read-onlyIdempotent
Inspect

Solve simultaneous congruences x ≡ a_i (mod m_i). Shared factors are allowed when the system is consistent; an inconsistent system is rejected. The result is the smallest non-negative solution and the lcm of the moduli. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/crt

Inputs: a (required), m (required).

crypto_address_validateCrypto Address ValidateA
Read-onlyIdempotent
Inspect

Offline validator and chain detector for up to 50 crypto addresses: EVM (EIP-55 checksum, returns the checksummed form), Bitcoin (P2PKH, P2SH, SegWit v0 bech32, Taproot bech32m, testnet), Solana (32-byte base58, wallet vs program-derived/off-curve), Tron, XRP, Litecoin, Dogecoin, Dash and Cosmos-SDK bech32 chains. Catches typos via checksums before an agent sends funds. No network calls. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/crypto-address-validate

Inputs: addresses (required), chain.

csp_evaluateCsp EvaluateA
Read-onlyIdempotent
Inspect

Evaluate a Content-Security-Policy string the way CSP Evaluator does, before you ship it: parses directives, catches typos, unquoted keywords and deprecated directives, then checks script execution (unsafe-inline without nonce/hash, unsafe-eval, wildcards, http:/https:/data: sources, 40+ known allowlist-bypass hosts with JSONP / AngularJS / user content), object-src, base-uri, frame-ancestors, form-action, reporting and Trusted Types. Returns findings with severity and fixes, a 0-100 score and A-F grade, and a strict nonce-based policy template. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/csp-evaluate

Inputs: policy (required), meta, reportOnly.

css_angleCss AngleA
Read-onlyIdempotent
Inspect

Convert a CSS angle among deg, grad, turn and pirad. A degree is 1/360 turn, a gradian is 1/400 turn, and one pirad is π radians, which is half a turn. A raw radian value is rejected because π is not rational. Exact rationals. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/css-angle

Inputs: value (required).

css_lengthCss LengthA
Read-onlyIdempotent
Inspect

Convert one CSS absolute length. An inch is 96px and 2.54 cm, so a centimetre is 4800/127 px, a millimetre is 480/127 px, and Q (a quarter-millimetre) is 120/127 px. A point is 4/3 px and a pica is 16px. Units: px, in, cm, mm, Q, pt, pc. em, rem, percent and viewport units are rejected. Exact rationals, 12 decimal places. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/css-length

Inputs: value (required).

css_resolutionCss ResolutionA
Read-onlyIdempotent
Inspect

Convert a CSS resolution among dppx, dpi and dpcm. The alias x means dppx. One dppx is 96 dpi, and one inch is 2.54 cm, so one dpcm is 127/4800 dppx. Exact rationals. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/css-resolution

Inputs: value (required).

css_timeCss TimeA
Read-onlyIdempotent
Inspect

Convert a CSS time between seconds and milliseconds. One millisecond is 1/1000 s. Minutes are not a CSS time unit. Exact rationals. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/css-time

Inputs: value (required).

csv_profileCsv ProfileA
Read-onlyIdempotent
Inspect

Profile a CSV/TSV dataset: delimiter detection, row and column counts, per-column inferred type (integer, decimal, boolean, date, datetime, string), null/empty counts, distinct values, min/max/mean/median/std and percentiles for numbers, length stats and detected patterns (email, URL, phone) for text, top values, duplicate rows and data-quality warnings. Up to 50,000 rows. POST JSON body {csv}. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/csv-profile

Inputs: csv (required), header, delimiter, topValues.

csv_to_sqlCsv To SqlA
Read-onlyIdempotent
Inspect

Turn CSV/TSV into SQL: CREATE TABLE with inferred column types (integer/bigint, numeric, boolean, date, timestamp, varchar/text, NOT NULL where never empty, optional primary key) and batched INSERT statements with correct quoting and escaping for PostgreSQL, MySQL, SQLite or SQL Server. Up to 20,000 rows. POST JSON body {csv, table, dialect}. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/csv-to-sql

Inputs: csv (required), table, header, dialect, +4 more.

ct_subdomainsCt SubdomainsA
Read-onlyIdempotent
Inspect

Certificate Transparency subdomain enumeration via crt.sh JSON API. Returns unique hostnames (capped) issued under the domain. Price: $0.008 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ct-subdomains

Inputs: domain (required).

cubefreeCubefreeA
Read-onlyIdempotent
Inspect

Whether no cube divides n. 1, 12, 18, and 36 are cubefree. 8, 16, 24, and 72 are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cubefree

Inputs: n (required).

cubefree_countCubefree CountA
Read-onlyIdempotent
Inspect

How many cubefree positive integers are at most n. Through 7 there are 7, through 8 there are still 7, through 16 there are 14, and through 24 there are 21. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cubefree-count

Inputs: n (required).

cubefullCubefullA
Read-onlyIdempotent
Inspect

Whether n is cubefull: 1, or every prime factor's exponent is at least 3. 1 and 8 are cubefull. 36 is powerful but not cubefull. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cubefull

Inputs: n (required).

cube_minCube MinA
Read-onlyIdempotent
Inspect

The fewest positive cubes that add to n. 0 takes 0, 1 takes 1, 8 takes 1, 9 takes 2, 23 takes 9, and 29 takes 3. n runs from 0 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cube-min

Inputs: n (required).

cube_sumCube SumA
Read-onlyIdempotent
Inspect

The sum of the first n cubes, (n*(n+1)/2)^2. The sum through 2 is 9, and through 10 is 3025. n runs from 0 to 100000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cube-sum

Inputs: n (required).

cube_waysCube WaysA
Read-onlyIdempotent
Inspect

How many ways n is a sum of positive cubes, ignoring order and allowing repeats. 0 has 1 empty sum, 2 has 1, 8 has 2, and 16 has 3. n runs from 0 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cube-ways

Inputs: n (required).

cullenCullenA
Read-onlyIdempotent
Inspect

The nth Cullen number, n*2^n + 1. The 1st is 3, the 2nd is 9, and the 5th is 161. n runs from 1 to 256. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cullen

Inputs: n (required).

curl_to_codeCurl To CodeA
Read-onlyIdempotent
Inspect

Convert a curl command (copied from browser dev tools, API docs or a terminal) into ready-to-run code: Python requests, JavaScript fetch, Node axios, Go net/http, PHP curl, Rust reqwest, HTTPie and PowerShell. Handles quoting ($'…', "…", line continuations), -X / -H / -d / --data-raw / --data-binary / --data-urlencode / --json / -F multipart / -u basic auth / -b cookies / -A / -e / -G / -I / -L / -k / --max-time / -x proxy / --oauth2-bearer and combined short flags. Also returns the parsed request (method, URL, headers, body) and warnings for options that cannot be expressed. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/curl-to-code

Inputs: command (required), targets.

currency_formatCurrency FormatA
Read-onlyIdempotent
Inspect

Money formatting and math with CLDR data (ICU 78 / CLDR 48, matches Intl.NumberFormat): format an amount for any of 60 locales and 154 active ISO 4217 currencies (symbol, narrow symbol or code; standard or accounting negatives; Indian lakh grouping, Swiss apostrophes, RTL marks), round with 9 modes or cash rounding (CHF 0.05), parse a formatted string such as "1.234,56 €" or "(US$1,234.50)" back to an exact amount and currency, split an amount by ratios without losing a cent (largest remainder) and look up currency or country info (digits, symbols, cash rounding, countries). Exact decimal arithmetic, no floats. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/currency-format

Inputs: cash, mode, sign, text, +8 more.

cusip_validateCusip ValidateA
Read-onlyIdempotent
Inspect

CUSIP check digit. Nine characters from digits, letters, and * @ #. Spaces are ignored and hyphens are not. From the left, values are weighted 1, 2, 1, 2 and the digits of those products sum to the check digit. A CUSIP made only of letters and digits is also returned as a US ISIN. This does not look the issuer up. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/cusip-validate

Inputs: value (required).

cve_lookupCve LookupA
Read-onlyIdempotent
Inspect

Search NIST NVD CVE API 2.0 by product/keyword with optional CVSSv3 severity filter. Returns CVE ids, scores, vectors, descriptions and reference URLs. Public NVD data. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/cve-lookup

Inputs: product (required), severity.

cvss_calcCvss CalcA
Read-onlyIdempotent
Inspect

Score and explain any CVSS vector: v4.0 (official FIRST macrovector algorithm, CVSS-B/BT/BE/BTE nomenclature, macrovector and severity breakdown), v3.1 and v3.0 (base, impact / exploitability subscores, temporal and environmental scores) and v2 (base and temporal). Validates the vector, rejects duplicates / unknown metrics, labels every metric in plain words and returns the qualitative severity. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/cvss-calc

Inputs: vector (required).

cyclotomicCyclotomicA
Read-onlyIdempotent
Inspect

The cyclotomic value Phi_n(a) for an integer a at least 2. Phi_1(2) is 1, Phi_5(2) is 31, Phi_6(3) is 7, and Phi_1(5) is 4. n runs from 1 to 40 and a from 2 to 20. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cyclotomic

Inputs: a (required), n (required).

cyclotomic_coeffCyclotomic CoeffA
Read-onlyIdempotent
Inspect

The coefficient of x^k in Phi_n. Phi_6 has coefficients 1, -1, 1, so k=1 is -1. The coefficient of x^7 in Phi_105 is -2. k past the degree is rejected. n runs from 1 to 120. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cyclotomic-coeff

Inputs: k (required), n (required).

cyclotomic_heightCyclotomic HeightA
Read-onlyIdempotent
Inspect

The largest absolute coefficient of Phi_n. Phi_1 through Phi_15 have height 1. Phi_105 has height 2. n runs from 1 to 120. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cyclotomic-height

Inputs: n (required).

cyclotomic_negCyclotomic NegA
Read-onlyIdempotent
Inspect

Phi_n(-1). n=1 gives -2, n=2 gives 0, n=6 gives 3, and n=10 gives 5. n runs from 1 to 120. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cyclotomic-neg

Inputs: n (required).

cyclotomic_oneCyclotomic OneA
Read-onlyIdempotent
Inspect

Phi_n(1). It is 0 when n is 1. When n is a power of a prime p, it is p. Otherwise it is 1. Phi_4(1) is 2, Phi_6(1) is 1, and Phi_9(1) is 3. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/cyclotomic-one

Inputs: n (required).

date_calcDate CalcA
Read-onlyIdempotent
Inspect

Calendar-correct date arithmetic in any IANA zone: add or subtract durations (ISO 8601 or plain English, months clamp to month end so Jan 31 + 1 month = Feb 28/29), exact difference between two dates (years / months / days breakdown plus total days / weeks / hours / seconds and ISO 8601), start / end of day / week / month / quarter / year, the Nth weekday of a month ("4th Thursday of November") and age / countdown. DST-aware. Offline. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/date-calc

Inputs: n, op, to, tz, +6 more.

day_countDay CountA
Read-onlyIdempotent
Inspect

Day-count conventions and accrued interest for bonds, loans and swaps: days and year fraction between two dates under ACT/360, ACT/365F, ACT/ACT ISDA, NL/365, 30/360 (ISDA bond basis), 30/360 US (SIA end-of-February rules), 30E/360 and 30E/360 ISDA, with simple interest on a principal; or, for a fixed-coupon bond, the coupon schedule around a settlement date (previous / next coupon, end-of-month rule), accrued days and accrued interest per face amount, including ACT/ACT ICMA (Treasuries). Matches QuantLib. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/day-count

Inputs: end, mode, start, ratePct, +5 more.

dedekind_psiDedekind PsiA
Read-onlyIdempotent
Inspect

Dedekind's psi function, n times the product of (1+1/p) over the distinct prime factors of n. psi(1) is 1, psi(2) is 3, and psi(6) is 12. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/dedekind-psi

Inputs: n (required).

dedupe_recordsDedupe RecordsA
Read-onlyIdempotent
Inspect

Find and remove duplicate records (CRM contacts, leads, customers, products) in a JSON array. Modes: exact, normalized (emails: case, Gmail dots and +tags; phones: punctuation and country prefix; URLs: scheme, www, tracking params; names: accents, honorifics, word order; companies: Inc / Ltd / GmbH suffixes) and fuzzy (Jaro-Winkler / token similarity with weighted fields, blocking + sorted neighbourhood so 5,000 records stay fast). Groups transitive matches, keeps the first / last / most complete record, optionally merges missing fields from the duplicates, and returns the unique records plus every duplicate group with its score. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/dedupe-records

Inputs: records (required), keep, mode, merge, +4 more.

deficiencyDeficiencyA
Read-onlyIdempotent
Inspect

The deficiency 2n - sigma(n). A deficient number is positive, a perfect number is 0, and an abundant number is negative. 4 is 1, 6 is 0, and 12 is -4. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/deficiency

Inputs: n (required).

delannoyDelannoyA
Read-onlyIdempotent
Inspect

The Delannoy number D(m,n), the number of paths from (0,0) to (m,n) using steps (1,0), (0,1), and (1,1). D(3,5) is 231. m and n run from 0 to 64. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/delannoy

Inputs: m (required), n (required).

delannoy_centralDelannoy CentralA
Read-onlyIdempotent
Inspect

The central Delannoy number D(n,n). D(0,0) is 1 and D(3,3) is 63. n runs from 0 to 64. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/delannoy-central

Inputs: n (required).

delannoy_sumDelannoy SumA
Read-onlyIdempotent
Inspect

The sum of Delannoy numbers D(m,0) through D(m,hi). The sum through D(4,4) is 501. m and hi run from 0 to 64. Past 15 digits the sum is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/delannoy-sum

Inputs: m (required), hi (required).

depolignacDepolignacB
Read-onlyIdempotent
Inspect

Whether odd n is never a prime plus a power of two, counting 2^0. 1 qualifies, because nothing smaller works. 3 is 2+1, so it does not. 127 is the next, and 905 is another. Even n is rejected. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/depolignac

Inputs: n (required).

depreciationDepreciationA
Read-onlyIdempotent
Inspect

Depreciation schedules: straight-line, declining balance (any factor, optional switch to straight-line), double-declining, sum-of-the-years-digits and US MACRS GDS (3/5/7/10/15/20-year, half-year convention, computed from the IRS rules: 200% or 150% DB switching to straight-line). Year-by-year depreciation, accumulated depreciation and book value. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/depreciation

Inputs: cost (required), lifeYears (required), method, salvage, +2 more.

derivative_fixedDerivative FixedA
Read-onlyIdempotent
Inspect

Whether n equals its arithmetic derivative. 0, 4, 27, and 3125 do. 1, 6, and 16 do not. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/derivative-fixed

Inputs: n (required).

digital_rootDigital RootA
Read-onlyIdempotent
Inspect

The digital root of a decimal integer. Zero stays zero, and any other magnitude is 1 + (n-1) mod 9, so multiples of 9 have root 9. The sign is ignored. A malformed integer is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/digital-root

Inputs: n (required).

digit_power_sumDigit Power SumA
Read-onlyIdempotent
Inspect

The sum of the digits of n each raised to k. 0 to any k from 1 up is 0. 153 to the 3 is 153. 4150 to the 5 is 4150, and 4150 to the 4 is 882. n runs from 0 to 999999999999999 and k runs from 1 to 15. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/digit-power-sum

Inputs: k (required), n (required).

digit_revDigit RevA
Read-onlyIdempotent
Inspect

Reverse the decimal digits of an integer. Leading zeros of the reversal are dropped, so 1200 becomes 21. The sign is kept. A malformed integer is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/digit-rev

Inputs: n (required).

digit_sumDigit SumA
Read-onlyIdempotent
Inspect

The sum of the decimal digits of an integer, ignoring the sign. 199 sums to 19. The decimal has no leading zeros. A malformed integer is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/digit-sum

Inputs: n (required).

divisor_countDivisor CountA
Read-onlyIdempotent
Inspect

The number of positive divisors of n. A prime has 2, and d(1) is 1. n = 0 is rejected. n runs up to 10^12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/divisor-count

Inputs: n (required).

divisor_recordDivisor RecordA
Read-onlyIdempotent
Inspect

The largest number of divisors attained by any integer from 1 through n, and the smallest integer that attains it. Through 10 the record is 4 at 6. Through 12 it is 6 at 12. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/divisor-record

Inputs: n (required).

divisor_sumDivisor SumA
Read-onlyIdempotent
Inspect

The sum of the positive divisors of n. sigma(6) is 12 and sigma(28) is 56. n = 0 is rejected. A value past 15 digits is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/divisor-sum

Inputs: n (required).

dmarc_report_parseDmarc Report ParseA
Read-onlyIdempotent
Inspect

Parse DMARC aggregate (RUA) reports and SMTP TLS reports (TLS-RPT, RFC 8460) into an actionable summary. Accepts the raw XML / JSON or the email attachment as base64 (.xml, .xml.gz, .zip). DMARC: reporter, date range, published policy, message totals, DMARC / DKIM-aligned / SPF-aligned pass rates, dispositions, every sending source IP with its auth results and a verdict (authorized, forwarded / third-party, spoofing), top failing sources and concrete next steps (e.g. when it is safe to move from p=none to quarantine). TLS-RPT: per-policy success / failure counts and failure details. No DNS or network lookups. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/dmarc-report-parse

Inputs: report (required), maxSources.

dns_dumpDns DumpA
Read-onlyIdempotent
Inspect

All common DNS records for a domain via Cloudflare DNS-over-HTTPS: A, AAAA, NS, MX, TXT, CAA. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/dns-dump

Inputs: domain (required).

dns_propagationDns PropagationA
Read-onlyIdempotent
Inspect

DNS propagation check: resolves one record type for a domain across Cloudflare 1.1.1.1, Google 8.8.8.8 and Quad9 9.9.9.9 (DNS-over-HTTPS, in parallel) and reports consensus, per-resolver answers, TTLs, rcodes and differences. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/dns-propagation

Inputs: domain (required), type, resolvers.

dnssec_checkDnssec CheckA
Read-onlyIdempotent
Inspect

DNSSEC status of a domain over DNS-over-HTTPS: secure / insecure / bogus (validation failure) / island (signed but no DS at the parent), the zone apex, DS records (key tag, algorithm, digest type) and DNSKEYs (KSK / ZSK, algorithm, computed key tag), whether each DS digest really matches a published DNSKEY (recomputed locally), and warnings for deprecated algorithms or SHA-1 digests (RFC 8624). Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/dnssec-check

Inputs: domain (required).

dockerfile_lintDockerfile LintA
Read-onlyIdempotent
Inspect

Offline Dockerfile linter: parses stages/continuations and runs 20+ best-practice and security rules (latest tag, curl|bash, secrets in ENV/ARG, runs-as-root, chmod 777, ADD-vs-COPY, apt cache, no HEALTHCHECK, multi-stage hints). Returns 0-100 score, letter grade and actionable fixes. Does not build or pull images. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/dockerfile-lint

Inputs: dockerfile.

domain_availabilityDomain AvailabilityA
Read-onlyIdempotent
Inspect

Bulk domain availability: for up to 20 domains, asks the authoritative registry over RDAP (server chosen from the IANA RDAP bootstrap). RDAP 404 = available; registered names return registrar, IANA id, creation/expiry dates, status and nameservers. TLDs without RDAP fall back to a DNS NS check; subdomains are flagged. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/domain-availability

Inputs: domains (required).

domain_intelDomain IntelA
Read-onlyIdempotent
Inspect

One-call domain due-diligence: RDAP registration age/expiry/registrar, A/AAAA/NS/MX/CAA, live TLS certificate (issuer, expiry, SANs, trust), Certificate-Transparency subdomain enumeration, and risk flags (new domain, expiring cert, no CAA). Good for phishing/scam triage of links before an agent visits or pays them. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/domain-intel

Inputs: domain (required).

dombDombA
Read-onlyIdempotent
Inspect

The Domb number D(n), the sum of C(n,k)^2 * C(2k,k) * C(2n-2k,n-k) for k from 0 to n. D(0) is 1, D(1) is 4, D(2) is 28, D(3) is 256, and D(5) is 31504. n runs from 0 to 12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/domb

Inputs: n (required).

domb_gcdDomb GcdA
Read-onlyIdempotent
Inspect

The greatest common divisor of D(n) and D(n+1). n=0 gives 1, n=1 gives 4, and n=6 gives 64. n runs from 0 to 11. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/domb-gcd

Inputs: n (required).

domb_modDomb ModA
Read-onlyIdempotent
Inspect

D(n) modulo m. D(5) mod 100 is 4, D(6) mod 1000 is 136, and D(1) mod 3 is 1. n runs from 0 to 12 and m runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/domb-mod

Inputs: m (required), n (required).

domb_sumDomb SumA
Read-onlyIdempotent
Inspect

The sum of the Domb numbers D(0) through D(n). Through 0 it is 1, through 2 it is 33, through 4 it is 3005, and through 5 it is 34509. n runs from 0 to 12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/domb-sum

Inputs: n (required).

domb_termDomb TermA
Read-onlyIdempotent
Inspect

One summand of the Domb number, C(n,k)^2 * C(2k,k) * C(2n-2k,n-k). The k=1 summand of D(2) is 16 and the k=0 summand of D(3) is 20. A k past n is 0. n and k run from 0 to 12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/domb-term

Inputs: k (required), n (required).

double_factorialDouble FactorialA
Read-onlyIdempotent
Inspect

The double factorial n!!. Even n uses the even factors down to 2, and odd n uses the odd factors down to 1. 0!! is 1, 6!! is 48, and 7!! is 105. n runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/double-factorial

Inputs: n (required).

dudeneyDudeneyA
Read-onlyIdempotent
Inspect

Whether n is a perfect cube and its digits add to the cube root. 1, 512, 4913, 5832, 17576, and 19683 are. 100 is not a cube. n runs from 1 to 200000. The root is 0 when n is not a Dudeney number. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/dudeney

Inputs: n (required).

duffinianDuffinianA
Read-onlyIdempotent
Inspect

Whether n is composite and coprime to its divisor sum. 4, 8, 9, 21, and 25 are. 1, 6, 7, and 15 are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/duffinian

Inputs: n (required).

duffinian_countDuffinian CountA
Read-onlyIdempotent
Inspect

How many Duffinian numbers are at most n. Through 1 there are 0, through 4 there is 1, through 9 there are 3, and through 30 there are 7. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/duffinian-count

Inputs: n (required).

duffinian_gcdDuffinian GcdA
Read-onlyIdempotent
Inspect

The greatest common divisor of n and its divisor sum. 4 gives 1, 6 gives 6, 9 gives 1, and 15 gives 3. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/duffinian-gcd

Inputs: n (required).

duffinian_nextDuffinian NextA
Read-onlyIdempotent
Inspect

The smallest Duffinian number that is at least n. 1 gives 4, 5 gives 8, 10 gives 16, and 22 gives 25. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/duffinian-next

Inputs: n (required).

duffinian_sumDuffinian SumA
Read-onlyIdempotent
Inspect

The sum of the Duffinian numbers that are at most n. Through 4 it is 4, through 9 it is 21, through 20 it is 37, and through 30 it is 110. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/duffinian-sum

Inputs: n (required).

duration_parseDuration ParseA
Read-onlyIdempotent
Inspect

Parse any duration into seconds and every common format: ISO 8601 (P1DT2H30M, PT1.5S, P2W), clock (1:02:03.5, 02:30), Go / compact (1h30m, 2d4h), and plain English ("an hour and a half", "2.5 days", "3 weeks ago", "90 secs"). Returns total seconds / milliseconds / minutes / hours / days, normalised ISO 8601, H:MM:SS, compact and human text, and flags month / year approximations. Up to 50 inputs per call. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/duration-parse

Inputs: input, inputs.

dyck_wordDyck WordA
Read-onlyIdempotent
Inspect

Check a Dyck word of parentheses and report its semilength and height. The empty word is valid. A prefix that goes negative, or a word that does not close, is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/dyck-word

Inputs: word (required).

ean_validateEan ValidateA
Read-onlyIdempotent
Inspect

GTIN check digit for EAN-8, UPC-A (12 digits), EAN-13 and GTIN-14. The weight alternates 3 and 1 from the right, starting with 3 on the digit beside the check. Spaces and hyphens are ignored. This does not check that the GS1 prefix was assigned. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ean-validate

Inputs: value (required).

earthquakesEarthquakesA
Read-onlyIdempotent
Inspect

Recent earthquakes from the USGS: filter by bounding box or center point + radius, minimum magnitude and time window (last N days or start/end dates). Returns magnitude, place, time, coordinates, depth, tsunami flag, PAGER alert, felt reports and USGS event links. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/earthquakes

Inputs: end, lat, lon, days, +9 more.

e_cf_prefixE Cf PrefixA
Read-onlyIdempotent
Inspect

The partial quotients of e from index 0 through n, comma-separated. Through 0 it is "2". Through 5 it is "2,1,2,1,1,4". Through 8 it is "2,1,2,1,1,4,1,1,6". n runs from 0 to 40. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/e-cf-prefix

Inputs: n (required).

e_cf_sumE Cf SumA
Read-onlyIdempotent
Inspect

The sum of the partial quotients of e from index 0 through n. Through 0 it is 2, through 2 it is 5, through 5 it is 11, and through 8 it is 19. n runs from 0 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/e-cf-sum

Inputs: n (required).

e_cf_termE Cf TermA
Read-onlyIdempotent
Inspect

The nth partial quotient of e, starting at n=0. It is 2, then 1, 2, 1, 1, 4, 1, 1, 6. n=0 gives 2, n=5 gives 4, and n=8 gives 6. n runs from 0 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/e-cf-term

Inputs: n (required).

e_convergentE ConvergentA
Read-onlyIdempotent
Inspect

The nth convergent of e, as numerator and denominator. n=0 is 2/1, n=1 is 3/1, n=2 is 8/3, and n=5 is 87/32. n runs from 0 to 20. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/e-convergent

Inputs: n (required).

egcdEgcdA
Read-onlyIdempotent
Inspect

Extended gcd of a and b. Returns g, x, and y with g = ax + by and g >= 0. gcd(0, 0) is rejected. Decimals have no leading zeros. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/egcd

Inputs: a (required), b (required).

egypt_checkEgypt CheckA
Read-onlyIdempotent
Inspect

Check that a sum of unit fractions equals the fraction a/b. A match returns the reduced sum. A sum that differs, or a non-positive denominator, is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/egypt-check

Inputs: a (required), b (required), dens (required).

egypt_greedyEgypt GreedyA
Read-onlyIdempotent
Inspect

The greedy Egyptian fraction for a proper positive fraction a/b. 5/6 is 1/2 + 1/3. A fraction that is not strictly between 0 and 1 is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/egypt-greedy

Inputs: a (required), b (required).

egyptianEgyptianA
Read-onlyIdempotent
Inspect

The greedy Egyptian-fraction denominators of a/b, written comma-separated. 3/7 gives 3,11,231. 5/6 gives 2,3. 1/2 gives 2. The fraction must be proper. a and b run from 1 to 30, with b at least 2. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/egyptian

Inputs: a (required), b (required).

egyptian_firstEgyptian FirstA
Read-onlyIdempotent
Inspect

The first denominator in the greedy Egyptian expansion of a/b. 3/7 starts at 3, 5/6 starts at 2, and 2/3 starts at 2. The fraction must be proper. a and b run from 1 to 30, with b at least 2. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/egyptian-first

Inputs: a (required), b (required).

egyptian_lastEgyptian LastA
Read-onlyIdempotent
Inspect

The last denominator in the greedy Egyptian expansion of a/b. 3/7 ends at 231, 8/11 ends at 4070, and 1/2 ends at 2. The fraction must be proper. a and b run from 1 to 30, with b at least 2. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/egyptian-last

Inputs: a (required), b (required).

egyptian_lengthEgyptian LengthA
Read-onlyIdempotent
Inspect

How many unit fractions the greedy Egyptian expansion of a/b uses. 1/2 uses 1, 5/6 uses 2, 3/7 uses 3, and 8/11 uses 4. The fraction must be proper. a and b run from 1 to 30, with b at least 2. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/egyptian-length

Inputs: a (required), b (required).

egyptian_sumEgyptian SumA
Read-onlyIdempotent
Inspect

The sum of the denominators in the greedy Egyptian expansion of a/b. 3/7 sums to 245, 5/6 sums to 5, and 8/11 sums to 4114. The fraction must be proper. a and b run from 1 to 30, with b at least 2. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/egyptian-sum

Inputs: a (required), b (required).

eip712_hashEip712 HashA
Read-onlyIdempotent
Inspect

EIP-712 typed-data hashing and signature check: returns encodeType, typeHash, domain separator, struct hash and the final digest a wallet signs (eth_signTypedData_v4), and with a signature recovers the signer and compares it to an expected address. Summarises common payloads (ERC-2612 Permit, EIP-3009 TransferWithAuthorization used by x402 EVM payments, Permit2) so an agent can see what it is about to sign. POST JSON body. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/eip712-hash

Inputs: typedData (required), address, signature.

email_authEmail AuthA
Read-onlyIdempotent
Inspect

Email authentication & deliverability posture for a domain: SPF (qualifier, lookup count, duplicates), DMARC policy/rua/pct, DKIM probe across common selectors, MTA-STS, TLS-RPT, BIMI, MX; scored with actionable issues. Useful for spoofing-risk and vendor checks. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/email-auth

Inputs: domain (required).

email_parseEmail ParseA
Read-onlyIdempotent
Inspect

Parse a raw email (.eml / RFC 5322 + MIME) for triage: decoded headers (RFC 2047), addresses, Received hop chain with relays, IPs, timestamps and delays, originating IP, Authentication-Results (SPF / DKIM / DMARC / ARC), DKIM-Signature domains and selectors, MIME part tree, attachments (name, type, size, SHA-256, risky extensions), text body and links (with anchor-text vs href domain mismatch). Adds phishing / spoofing indicators (From vs Return-Path / Reply-To misalignment, display-name spoofing, brand impersonation, auth failures, urgency language) and a 0-100 risk score. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/email-parse

Inputs: raw (required), maxBodyChars.

email_validateEmail ValidateA
Read-onlyIdempotent
Inspect

Validate an email address without sending mail: RFC 5321/5322 syntax, MX/A lookup (null-MX aware), disposable-domain detection (~10k domains), role-account and free-provider flags, typo suggestion (gmial.com -> gmail.com), overall verdict. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/email-validate

Inputs: email (required), check_mx.

ens_resolveEns ResolveA
Read-onlyIdempotent
Inspect

Resolve an ENS name to its Ethereum address (plus optional text records like avatar, url, com.twitter), or reverse-resolve an address to its forward-verified primary ENS name. Read-only, public RPC. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ens-resolve

Inputs: name, texts, address.

entity_extractEntity ExtractA
Read-onlyIdempotent
Inspect

Rule-based entity and value extraction with normalised values: dates (ISO, numeric with dmy/mdy, month names, relative "next Friday" / "in 3 days" resolved against a reference date), times with time zones, money (symbols, ISO codes, crypto tickers, k/m/bn scales), percentages and basis points, quantities with units, durations in seconds, URLs, emails, hashtags, @mentions, $cashtags, organisations (legal suffixes) and titled persons. Code-point offsets, overlap resolution, type filter. Offline, deterministic, English. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/entity-extract

Inputs: text (required), types, dateOrder, referenceDate.

entringerEntringerA
Read-onlyIdempotent
Inspect

The Entringer number E(n, k). E(1, 1) is 1, and E(n, k) = E(n, k-1) + E(n-1, n-k). E(5, 2) is 10, and E(6, 3) is 46. The last entry E(n, n) is the zigzag number a(n). n and k run from 1 to 40, and k must not pass n. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/entringer

Inputs: k (required), n (required).

envelope_fitEnvelope FitB
Read-onlyIdempotent
Inspect

The smallest ISO C envelope that holds a sheet flat, and whether a DL envelope holds it flat or folded in exact thirds. C4 holds A4. DL does not hold A4 flat; it holds A4 folded in thirds. A sheet bigger than C0 has no C envelope. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/envelope-fit

Inputs: name (required).

eol_checkEol CheckA
Read-onlyIdempotent
Inspect

Is this software version still supported? End-of-life status from endoflife.date for 400+ products (languages, frameworks, databases, OSes, runtimes, cloud services): status (supported, security-only, eol, unmaintained), release, active-support and EOL dates, days until/since EOL, LTS flag, latest patch for the cycle and whether you are on it, the recommended upgrade cycle, and plain advice. Fuzzy product matching with suggestions; batch up to 10 product@version items. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/eol-check

Inputs: items, product, version.

epss_scoreEpss ScoreA
Read-onlyIdempotent
Inspect

FIRST EPSS exploit-prediction scores for up to 100 CVEs: probability of exploitation in the next 30 days, percentile rank and a simple band, for the latest model run or a past date. Complements /v1/cve-lookup and /v1/cisa-kev for vulnerability prioritisation. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/epss-score

Inputs: cve (required), date.

equation_solveEquation SolveA
Read-onlyIdempotent
Inspect

Solve equations exactly where possible. Polynomials of any degree up to 100: exact rational roots, exact surd forms for quadratic factors ("(3 + √5)/2", complex "(-1 + i√3)/2"), multiplicities via square-free factorisation, and high-precision numeric roots (Aberth–Ehrlich + Newton polishing) for the rest. Any other single-variable equation ("cos(x) = x", "2^x = x^2 + 1", "ln(x) + x = 5") is solved numerically over a range with sign scanning + Brent's method, rejecting poles. Systems of linear equations ("2x + 3y = 7", "x - y = 1") are solved with exact rational Gaussian elimination, reporting unique, none, or infinitely many solutions in parametric form. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/equation-solve

Inputs: max, min, angle, equation, +2 more.

equidigitalEquidigitalA
Read-onlyIdempotent
Inspect

Whether the written factorization uses exactly as many digits as n. 1, 10, 16, and 25 do. 4 and 125 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/equidigital

Inputs: n (required).

e_seriesE SeriesA
Read-onlyIdempotent
Inspect

The partial sum of 1/k! from k=0 through n, as a reduced fraction. n=0 is 1/1, n=2 is 5/2, n=3 is 8/3, n=4 is 65/24, and n=5 is 163/60. n runs from 0 to 15. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/e-series

Inputs: n (required).

euclid_mullinEuclid MullinA
Read-onlyIdempotent
Inspect

The nth Euclid-Mullin prime. a(1) is 2, a(4) is 43, a(7) is 5, and a(8) is 6221671. n runs from 1 to 8. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/euclid-mullin

Inputs: n (required).

euclid_mullin_cofactorEuclid Mullin CofactorB
Read-onlyIdempotent
Inspect

One more than the product of the earlier terms, divided by a(n). It is 1 when that Euclid number is itself prime. n=5 gives 139, n=6 gives 443, n=7 gives 248867, and n=8 gives 1. n runs from 2 to 8. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/euclid-mullin-cofactor

Inputs: n (required).

euclid_mullin_indexEuclid Mullin IndexA
Read-onlyIdempotent
Inspect

Where p sits among the first eight Euclid-Mullin primes, or 0 if it does not. 2 is 1, 43 is 4, 5 is 7, and 11 is 0. p runs from 2 to 6221671. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/euclid-mullin-index

Inputs: p (required).

euclid_mullin_prodEuclid Mullin ProdA
Read-onlyIdempotent
Inspect

The product of the first n Euclid-Mullin primes. n=1 gives 2, n=4 gives 1806, n=7 gives 6221670, and n=8 gives 38709183810570. n runs from 1 to 8. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/euclid-mullin-prod

Inputs: n (required).

euclid_mullin_sumEuclid Mullin SumA
Read-onlyIdempotent
Inspect

The sum of the first n Euclid-Mullin primes. Through 1 it is 2, through 4 it is 55, through 7 it is 126, and through 8 it is 6221797. n runs from 1 to 8. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/euclid-mullin-sum

Inputs: n (required).

eui64Eui64A
Read-onlyIdempotent
Inspect

Modified EUI-64 from RFC 4291. A 48-bit MAC is expanded by flipping the U/L bit and inserting FF-FE in the middle. A 64-bit value with FF-FE in the middle is folded back to the MAC. Any other 64-bit value is returned as-is with mac null. The bits, local and multicast fields describe the 64-bit result. Flipping the bit makes a universal MAC look local in the interface id. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/eui64

Inputs: value (required).

eulerianEulerianA
Read-onlyIdempotent
Inspect

The Eulerian number A(n, k), the number of permutations of n with k ascents. A(4, 1) is 11, A(5, 2) is 66, and A(n, 0) is 1. k runs from 0 through n-1. n runs from 1 to 60. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/eulerian

Inputs: k (required), n (required).

eulerian_modEulerian ModA
Read-onlyIdempotent
Inspect

A(n, k) mod m for the Eulerian numbers. The modulus is a positive decimal integer, and zero is rejected. k must be an ascent of n. n runs from 1 to 60. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/eulerian-mod

Inputs: k (required), n (required), mod (required).

eulerian_polyEulerian PolyA
Read-onlyIdempotent
Inspect

The Eulerian polynomial A_n(x) = sum A(n, k) * x^k. A_3(2) is 13, A_4(1) is 24, and A_5(0) is 1. n runs from 1 to 20, and x runs from 0 to 10. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/eulerian-poly

Inputs: n (required), x (required).

eulerian_rowEulerian RowA
Read-onlyIdempotent
Inspect

The Eulerian row A(n, 0) through A(n, n-1), comma-separated. The row for 5 is 1,26,66,26,1. It is symmetric and sums to n!. n runs from 1 to 12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/eulerian-row

Inputs: n (required).

eulerian_sumEulerian SumA
Read-onlyIdempotent
Inspect

The sum of Eulerian numbers A(n, k) for k from lo through hi. The whole row sums to n!. A(4, 0) through A(4, 1) is 12. lo must not pass hi, and hi must be an ascent of n. n runs from 1 to 60. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/eulerian-sum

Inputs: n (required), hi (required), lo (required).

euler_secantEuler SecantA
Read-onlyIdempotent
Inspect

The nth secant number, the signed Euler number E(2n) = (-1)^n * a(2n). E(0) is 1, E(2) is -1, E(4) is 5, and E(6) is -61. n runs from 0 to 20. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/euler-secant

Inputs: n (required).

euler_zigzagEuler ZigzagA
Read-onlyIdempotent
Inspect

The nth Euler zigzag number, the number of up-down permutations of n. a(0) is 1, a(3) is 2, a(4) is 5, and a(5) is 16. For n at least 1 it is the Entringer number E(n, n). n runs from 0 to 40. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/euler-zigzag

Inputs: n (required).

euler_zigzag_sumEuler Zigzag SumA
Read-onlyIdempotent
Inspect

The sum of Euler zigzag numbers a(0) through a(n). The sum through a(5) is 26, and the sum through a(10) is 60201. n runs from 0 to 40. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/euler-zigzag-sum

Inputs: n (required).

eu_vat_validateEu Vat ValidateA
Read-onlyIdempotent
Inspect

Validate an EU VAT number live against the European Commission VIES service: valid/invalid, plus registered trader name and address where the member state discloses them. Accepts IE6388047V style input or ?country= + number; GR is mapped to EL, XI = Northern Ireland. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/eu-vat-validate

Inputs: vat (required), country.

evm_address_activityEvm Address ActivityA
Read-onlyIdempotent
Inspect

Where is this address used? One call checks an EVM address on Ethereum, Base, Arbitrum, OP Mainnet, Polygon and BNB Chain: native balance, nonce (transactions sent), contract or EOA, EIP-7702 delegation, code size, and a per-chain active flag plus a summary of chains with activity. Useful before sending funds, for wallet screening and for picking the right chain. Keyless public RPC, read-only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-address-activity

Inputs: address (required), chains.

evm_allowanceEvm AllowanceA
Read-onlyIdempotent
Inspect

ERC-20 allowance matrix for an owner across up to 10 tokens × 10 spenders (defaults: major stables/WETH × Uniswap Permit2, 1inch, CoW, 0x, OpenSea Seaport — verified deployed on-chain). Also reports ERC-721/1155 setApprovalForAll. Flags unlimited (max-uint) approvals. Read-only; no log scan. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-allowance

Inputs: owner (required).

evm_balanceEvm BalanceA
Read-onlyIdempotent
Inspect

Native ETH and ERC-20 token balances for an address on Ethereum, Base or Arbitrum via public RPC. Defaults to major tokens (USDC, USDT, WETH, DAI/ARB) or pass up to 20 token contracts. Read-only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-balance

Inputs: address (required), chain, tokens, include_zero, +1 more.

evm_blockEvm BlockA
Read-onlyIdempotent
Inspect

One EVM block by number, tag (latest, safe, finalized, earliest, pending) or hash on Ethereum, Base, Arbitrum, OP Mainnet, Polygon or BNB Chain: timestamp and age, transaction count, gas used/limit and fill %, base fee (gwei), blob gas, fee recipient, size, withdrawals, parent hash, optional transaction hash list. Keyless public RPC, read-only. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-block

Inputs: block, chain, limit, transactions.

evm_contract_infoEvm Contract InfoA
Read-onlyIdempotent
Inspect

EVM contract introspection on Ethereum, Base, Arbitrum, OP Mainnet, Polygon or BNB Chain via public RPC: bytecode size/hash, EIP-1167 / EIP-1967 / ZeppelinOS / EIP-7702 proxy detection, ERC-165/20/721/1155(/2981) standards, name/symbol/decimals/supply, owner()/paused(), and a bytecode selector scan against 145 known signatures that surfaces capabilities (mint, blacklist, fee setters, trading switches, upgrade) and a 0-100 risk score. Static analysis only — not a honeypot simulation. Read-only. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-contract-info

Inputs: address (required), chain.

evm_create_addressEvm Create AddressA
Read-onlyIdempotent
Inspect

Predict EVM contract addresses before deployment: CREATE (deployer + nonce, RLP-encoded; up to 50 consecutive nonces) or CREATE2 (deployer + salt + init code or its keccak256 hash, EIP-1014). Works for every EVM chain; returns EIP-55 checksummed addresses. No network calls. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-create-address

Inputs: deployer (required), salt, count, nonce, +2 more.

evm_gasEvm GasA
Read-onlyIdempotent
Inspect

Live gas tracker across Ethereum, Base, Arbitrum, OP Mainnet, Polygon and BNB Chain: head block age, base fee, 10th/50th/90th percentile priority fees from eth_feeHistory, suggested maxFeePerGas tiers, and estimated cost of a native transfer and an ERC-20 transfer. Read-only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-gas

Inputs: chains.

evm_logsEvm LogsA
Read-onlyIdempotent
Inspect

Decoded event logs for any contract and event on Ethereum, Base, Arbitrum, OP Mainnet, Polygon or BNB Chain: give the event as a human signature (e.g. "Transfer(address indexed from, address indexed to, uint256 value)"), optional indexed-topic filters, and get the newest matching logs with named, ABI-decoded arguments (exact integers as strings, checksummed addresses). Scans backwards from the head with an adaptive block window. Keyless public RPC. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-logs

Inputs: event (required), address (required), chain, limit, +5 more.

evm_readEvm ReadA
Read-onlyIdempotent
Inspect

Read-only eth_call of any view/pure function from a human signature (e.g. balanceOf(address)(uint256) or function name() view returns (string)). ABI-encodes args, decodes outputs (address/uint/int/bool/string/bytes/arrays), and surfaces Error(string) / Panic(uint256) revert reasons. Six chains. No state change. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-read

Inputs: contract (required), signature.

evm_selector_decodeEvm Selector DecodeA
Read-onlyIdempotent
Inspect

Decode EVM function selectors, calldata and event topics: looks up 4-byte selectors (or 32-byte event topics) in 4byte.directory plus a built-in table of well-known signatures, re-hashes every candidate with Keccak-256 to drop bad entries, and for full calldata ABI-decodes the arguments (address with EIP-55 checksum, uint/int as exact decimal strings, bool, bytes, string, arrays, tuples), ranking candidates that decode cleanly first. Also computes the selector/topic for a given signature. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-selector-decode

Inputs: limit, topic, calldata, selector, +1 more.

evm_token_transfersEvm Token TransfersA
Read-onlyIdempotent
Inspect

Latest ERC-20 or ERC-721 Transfer events for a token contract (optionally filtered to one wallet, in/out/both) on six EVM chains. Adaptive eth_getLogs window with automatic shrink on provider range caps. Returns decoded from/to/value or tokenId, approx age, mint/burn tags. Read-only. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-token-transfers

Inputs: token (required).

evm_tx_infoEvm Tx InfoA
Read-onlyIdempotent
Inspect

Decode an EVM transaction (Ethereum, Base, Arbitrum): status, block, timestamp, confirmations, from/to, value, gas used, effective gas price, fee, method selector name, and decoded ERC-20 Transfer/Approval events. Read-only, public RPC. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-tx-info

Inputs: hash (required), chain.

evm_verify_signatureEvm Verify SignatureA
Read-onlyIdempotent
Inspect

Verify an Ethereum signature offline: recovers the signer address (secp256k1 ecrecover) from an EIP-191 personal_sign message (UTF-8 or hex) or a raw 32-byte digest (e.g. an EIP-712 hash), compares it with an expected address, flags malleable high-s signatures, accepts 65-byte r,s,v and 64-byte EIP-2098 compact signatures, and parses Sign-In with Ethereum (EIP-4361) messages (domain, nonce, chain, expiry). For smart-contract wallets (EIP-1271) recovery does not apply. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/evm-verify-signature

Inputs: signature (required), hash, address, message, +1 more.

exp_countExp CountA
Read-onlyIdempotent
Inspect

How many exponential divisors n has. 1 and 6 have 1, 8 and 12 have 2, 16 has 3, and 36 has 4. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/exp-count

Inputs: n (required).

exp_divisorsExp DivisorsA
Read-onlyIdempotent
Inspect

The exponential divisors of n, comma-separated and ascending. 8 gives 2,8. 12 gives 6,12. 16 gives 2,4,16. 36 gives 6,12,18,36. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/exp-divisors

Inputs: n (required).

exp_nextExp NextA
Read-onlyIdempotent
Inspect

The smallest exponential perfect number that is at least n. 1 gives 36, 37 gives 180, 180 stays 180, and 181 gives 252. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/exp-next

Inputs: n (required).

exp_perfectExp PerfectA
Read-onlyIdempotent
Inspect

Whether the exponential divisors of n sum to 2n. 36 and 180 do. 6, 12, 16, and 60 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/exp-perfect

Inputs: n (required).

exp_sigmaExp SigmaA
Read-onlyIdempotent
Inspect

The sum of the exponential divisors of n. 1 gives 1, 8 gives 10, 12 gives 18, 16 gives 22, and 36 gives 72. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/exp-sigma

Inputs: n (required).

extravagantExtravagantA
Read-onlyIdempotent
Inspect

Whether the written factorization uses more digits than n. 4, 6, and 12 do. 10 and 125 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/extravagant

Inputs: n (required).

factoradicFactoradicA
Read-onlyIdempotent
Inspect

The factorial-base digits of n, from the highest place down through the 0! place, comma-separated. The last digit is always 0. 0 is "0", 5 is "2,1,0", 23 is "3,2,1,0", and 463 is "3,4,1,0,1,0". n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factoradic

Inputs: n (required).

factoradic_decodeFactoradic DecodeA
Read-onlyIdempotent
Inspect

The integer value of factorial-base digits. The last entry is the 0! place. [2, 1, 0] is 5 and [3, 2, 1, 0] is 23. A digit in the k! place must be from 0 through k. At most 20 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factoradic-decode

Inputs: digits (required).

factoradic_digitFactoradic DigitA
Read-onlyIdempotent
Inspect

The digit of the k! place of n. It is floor(n / k!) mod (k+1), and it is 0 when k! exceeds n. The 0! digit is always 0. For 463 the 5! digit is 3 and the 4! digit is 4. k runs from 0 to 20. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factoradic-digit

Inputs: k (required), n (required).

factoradic_lengthFactoradic LengthA
Read-onlyIdempotent
Inspect

How many factorial-base digits n has, including the 0! place. 0 has 1, 5 has 3, 23 has 4, and 24 has 5. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factoradic-length

Inputs: n (required).

factoradic_sumFactoradic SumA
Read-onlyIdempotent
Inspect

The sum of the factorial-base digits of n. 0 sums to 0, 5 sums to 3, 23 sums to 6, and 463 sums to 9. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factoradic-sum

Inputs: n (required).

factor_concatFactor ConcatA
Read-onlyIdempotent
Inspect

One concatenation of the prime factors of n, repeats included and primes left unchanged. 2 gives 2, 4 gives 22, 8 gives 222, 9 gives 33, and 10 gives 25. n runs from 2 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factor-concat

Inputs: n (required).

factor_digitsFactor DigitsA
Read-onlyIdempotent
Inspect

How many digits the written prime factorization uses, omitting exponents of 1. 1 uses 1, 4 uses 2, 12 uses 3, 16 uses 2, and 125 uses 2. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factor-digits

Inputs: n (required).

factorial_modFactorial ModA
Read-onlyIdempotent
Inspect

n! mod m. 0! is 1, so 0! mod 5 is 1. 10! mod 97 is 30. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factorial-mod

Inputs: n (required), mod (required).

factorial_primeFactorial PrimeA
Read-onlyIdempotent
Inspect

Whether n! + 1 and n! - 1 are prime. Both are prime for n=3. For n=11, only n! + 1 is prime. For n=12, only n! - 1 is prime. n! - 1 is not prime for n=0 or 1. n runs from 0 to 12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factorial-prime

Inputs: n (required).

factorial_valuationFactorial ValuationA
Read-onlyIdempotent
Inspect

The p-adic valuation of n!, the exponent of the prime p in n!. v_2(10!) is 8, v_3(10!) is 4, and v_2(100!) is 97. p must be prime. n runs from 0 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factorial-valuation

Inputs: n (required), p (required).

factorionFactorionA
Read-onlyIdempotent
Inspect

Whether n equals the sum of the factorials of its digits. 1, 2, 145, and 40585 do. 24 and 10 do not. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/factorion

Inputs: n (required).

fake_dataFake DataA
Read-onlyIdempotent
Inspect

Generate realistic, reproducible fake test data from a field schema: up to 1,000 records with 44 field types (names, usernames, emails consistent with the name, phones, companies, job titles, US addresses, countries, coordinates, dates, numbers, prices, UUIDs, IPs, URLs, lorem text, enums with weights, sequences, templates referencing other fields, test card numbers), per-field null rate and uniqueness, as JSON, CSV or NDJSON. Seeded (the seed is returned) so the same request gives the same data. Safe by design: only example.* domains, 555-01xx phone numbers, documentation IP ranges and public card test numbers. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fake-data

Inputs: fields (required), seed, count, format.

fallingFallingA
Read-onlyIdempotent
Inspect

The falling factorial (n)_k = n*(n-1)...(n-k+1). (5)_3 is 60, (5)_0 is 1, and (5)_6 is 0. n runs from 0 to 100000 and k runs from 0 to 512. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/falling

Inputs: k (required), n (required).

farey_adjacentFarey AdjacentA
Read-onlyIdempotent
Inspect

Whether a/b and c/d are Farey neighbors. They are adjacent when the determinant ad-bc is 1 or -1. A non-positive denominator is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/farey-adjacent

Inputs: a (required), b (required), c (required), d (required).

farey_childFarey ChildA
Read-onlyIdempotent
Inspect

The mediant child of a Farey-neighbor pair. a/b and c/d must satisfy |ad-bc| = 1. A pair that is not adjacent is rejected, as is a non-positive denominator. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/farey-child

Inputs: a (required), b (required), c (required), d (required).

farey_countFarey CountA
Read-onlyIdempotent
Inspect

How many reduced fractions lie in the Farey sequence of order n, from 0/1 through 1/1. Order 1 has 2, order 5 has 11, and order 6 has 13. The count is one more than the totient sum. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/farey-count

Inputs: n (required).

fda_adverse_eventsFda Adverse EventsA
Read-onlyIdempotent
Inspect

FDA adverse-event reports (openFDA): drug FAERS, device MAUDE, food/supplement CAERS. Filter by drug, product, reaction, dates or raw openFDA search; compact reports or counts on any field (e.g. top reactions for a drug). Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/fda-adverse-events

Inputs: to, drug, from, full, +9 more.

fda_deviceFda DeviceA
Read-onlyIdempotent
Inspect

FDA device records (openFDA): 510(k) clearances, PMA approvals, device classification (product code, class, regulation) and GUDID device identifiers. Search by name, product code, applicant, K/PMA number or raw search; count by any field. GMDN removed. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/fda-device

Inputs: to, from, name, skip, +9 more.

fda_recallsFda RecallsA
Read-onlyIdempotent
Inspect

FDA recalls (openFDA): drug, device and food enforcement reports (class, status, firm, reason, distribution, lots) plus the device recall database (root cause). Filter by firm, product, class, status, state, dates; count by any field. Newest first. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/fda-recalls

Inputs: to, firm, from, skip, +11 more.

federal_registerFederal RegisterA
Read-onlyIdempotent
Inspect

Search the U.S. Federal Register (federalregister.gov) for rules, proposed rules, notices, presidential documents and executive orders by keyword, agency (name, short name such as EPA, or slug), type, publication date range and significance. Returns document number, title, type, agencies, action, abstract, citation, effective and comment-close dates, EO number and signing date, docket ids, RINs and HTML/PDF links. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/federal-register

Inputs: q, to, from, page, +5 more.

feed_discoverFeed DiscoverA
Read-onlyIdempotent
Inspect

Find a website's RSS/Atom/JSON feeds and read the latest items: parses tags, likely feed links and (if none) probes common feed paths, then parses the feed (RSS 2.0, RSS 1.0/RDF, Atom 1.0, JSON Feed) into clean JSON items with title, link, published date (ISO), author, summary, categories and enclosure. Also accepts a feed URL directly. SSRF-safe fetches. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/feed-discover

Inputs: url (required), items, probe.

fermat_numberFermat NumberA
Read-onlyIdempotent
Inspect

The Fermat number 2^(2^n) + 1. n=0 gives 3, n=4 gives 65537, and n=5 gives 4294967297. n runs from 0 to 12. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fermat-number

Inputs: n (required).

fermat_primeFermat PrimeA
Read-onlyIdempotent
Inspect

Whether the Fermat number 2^(2^n) + 1 is prime. n from 0 through 4 gives a prime. n=5 does not: 4294967297 = 641*6700417. n runs from 0 to 5. This checks the given n. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fermat-prime

Inputs: n (required).

fibbinaryFibbinaryA
Read-onlyIdempotent
Inspect

Whether the binary expansion of n has no two adjacent 1 bits. 0, 1, 2, 5, 10, and 21 do. 3, 6, and 7 do not. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fibbinary

Inputs: n (required).

fibbinary_countFibbinary CountA
Read-onlyIdempotent
Inspect

How many fibbinary numbers from 0 through n there are. Through 0 there is 1, through 2 there are 3, through 3 there are 3, through 5 there are 5, through 10 there are 8, and through 21 there are 13. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fibbinary-count

Inputs: n (required).

fibbinary_indexFibbinary IndexA
Read-onlyIdempotent
Inspect

The position of n among the fibbinary numbers, counting from 1, or 0 if n is not fibbinary. 0 is 1, 1 is 2, 5 is 5, 10 is 8, 16 is 9, and 3 is 0. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fibbinary-index

Inputs: n (required).

fibbinary_nextFibbinary NextA
Read-onlyIdempotent
Inspect

The smallest fibbinary number that is at least n. 0 stays 0, 3 gives 4, 6 and 7 give 8, 11 gives 16, and 21 stays 21. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fibbinary-next

Inputs: n (required).

fibbinary_nthFibbinary NthA
Read-onlyIdempotent
Inspect

The nth fibbinary number, counting from 1, with 0 in position 1. The 1st is 0, the 4th is 4, the 8th is 10, the 10th is 17, and the 15th is 33. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fibbinary-nth

Inputs: n (required).

fibwordFibwordA
Read-onlyIdempotent
Inspect

The nth bit of the infinite Fibonacci word, starting at n = 0. The word is the fixed point of 0 to 01 and 1 to 0, and it starts 01001010. n runs from 0 to 99999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fibword

Inputs: n (required).

fibword_prefixFibword PrefixA
Read-onlyIdempotent
Inspect

The first n bits of the Fibonacci word. The first 8 bits are 01001010, and the first 16 bits are 0100101001001010. n runs from 1 to 4096. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fibword-prefix

Inputs: n (required).

fifth_sumFifth SumA
Read-onlyIdempotent
Inspect

The sum of the first n fifth powers, n^2(n+1)^2(2n^2+2n-1)/12. The sum through 10 is 220825. n runs from 0 to 10000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fifth-sum

Inputs: n (required).

figi_validateFigi ValidateA
Read-onlyIdempotent
Inspect

FIGI check digit. Twelve characters with no vowels. The first two are letters and are not BS, BM, GG, GB or VG, and the third character is G. The check uses the full A–Z alphabet, weights 1 and 2 from the left. Spaces are ignored. This does not call OpenFIGI. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/figi-validate

Inputs: value (required).

file_modeFile ModeA
Read-onlyIdempotent
Inspect

Explain a POSIX file mode. Accepts octal (755, 0755, 4755) or the 9-character ls form, with an optional leading type character. s and t mean the execute bit is also set; S and T mean the special bit without execute. setuid, setgid and sticky are the high octal digit. value is the mode as a decimal integer. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/file-mode

Inputs: value (required).

file_type_detectFile Type DetectA
Read-onlyIdempotent
Inspect

Identify what a file really is from its bytes (not its name): 80+ signatures (images, audio, video, archives, PDF / Office / OpenDocument / EPUB, executables ELF / PE / Mach-O / WASM, fonts, SQLite / Parquet / pcap, ML model files GGUF / safetensors / PyTorch / pickle), container sniffing (DOCX vs XLSX vs JAR vs APK, tar.gz, MP4 vs HEIC vs AVIF, WebP / WAV / AVI), text sniffing (JSON, XML, SVG, HTML, CSV, PEM, scripts) and image dimensions. Flags risky content (executables, macros, pickles, shortcuts) and mismatches with the declared file name or MIME type. Base64 input (up to ~140 KB) or a URL (first 64 KB, SSRF-safe). Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/file-type-detect

Inputs: url, data, filename, mimeType.

fineFineA
Read-onlyIdempotent
Inspect

The nth Fine number. F(0) is 1, F(1) is 0, F(2) is 1, and F(6) is 57. For n at least 1, F(n) = C(n) - sum of C(i)*F(n-1-i) over i from 0 to n-1, with C the Catalan numbers. n runs from 0 to 80. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fine

Inputs: n (required).

fine_sumFine SumA
Read-onlyIdempotent
Inspect

The sum of Fine numbers from lo through hi inclusive. The sum from F(0) through F(6) is 85. lo must not pass hi. Each index runs from 0 to 80. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fine-sum

Inputs: hi (required), lo (required).

fitness_calcFitness CalcA
Read-onlyIdempotent
Inspect

Body and training calculator in one call, metric or imperial: BMI with WHO category and healthy-weight range, BMR (Mifflin-St Jeor, revised Harris-Benedict, Katch-McArdle), TDEE by activity level, calorie target and protein / fat / carb grams for lose / maintain / gain, US Navy body-fat %, ideal weight (Devine, Robinson, Miller, Hamwi), max heart rate and 5 training zones (Karvonen when resting HR is given), daily water, one-rep max (Epley, Brzycki, Lombardi, O'Conner) and running pace / speed with Riegel race-time predictions. Informational, not medical advice. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/fitness-calc

Inputs: age, hip, sex, goal, +13 more.

fletcher16Fletcher16B
Read-onlyIdempotent
Inspect

Fletcher-16 checksum, modulus 255. The two sums are packed with the second sum in the high byte. "abcde" is c8f0. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fletcher16

Inputs: hex, text.

fletcher32Fletcher32A
Read-onlyIdempotent
Inspect

Fletcher-32 checksum, modulus 65535. Bytes are big-endian 16-bit words. An odd final byte is padded with zero. "abcde" is 4ff029c7. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fletcher32

Inputs: hex, text.

float_bitsFloat BitsA
Read-onlyIdempotent
Inspect

Explain an IEEE 754 binary32 or binary64 value. Pass bits as hex, or a decimal or fraction, which is rounded ties-to-even. Returns the class, sign, unbiased exponent, fraction bits, and the exact value. Negative zero stays negative. The word nan is the quiet NaN; snan is the signaling NaN with payload 1. The top fraction bit is the quiet bit. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/float-bits

Inputs: bits, value, width.

float_nextFloat NextB
Read-onlyIdempotent
Inspect

The next binary32 or binary64 value up or down. Positive zero and negative zero both step up to the smallest positive subnormal, and both step down to the smallest negative one. Infinity stays put at its end. A NaN is returned with its payload unchanged. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/float-next

Inputs: dir (required), bits, value, width.

float_orderFloat OrderA
Read-onlyIdempotent
Inspect

IEEE 754 totalOrder on two binary32 or binary64 values. Negative zero is below positive zero. Negative NaNs are below minus infinity and positive NaNs are above plus infinity. A larger NaN payload is farther from zero. sameBits is true only when every bit matches. form bits reads both sides as hex; the default reads them as numbers rounded ties-to-even. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/float-order

Inputs: left (required), right (required), form, width.

float_roundFloat RoundA
Read-onlyIdempotent
Inspect

Round an exact decimal or fraction to binary32 or binary64. Modes are nearestEven, towardZero, towardPositive, and towardNegative. Ties in nearestEven go to an even fraction bit. Overflow becomes infinity, or the largest finite value when the mode points toward zero. underflow is set only when the result is subnormal or zero and not exact. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/float-round

Inputs: value (required), mode, width.

float_ulpFloat UlpB
Read-onlyIdempotent
Inspect

Unit in the last place of a binary32 or binary64 value. A power of two uses the spacing of its own binade. Zero uses the smallest subnormal. Infinity uses positive infinity. A NaN is returned with its payload unchanged. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/float-ulp

Inputs: bits, value, width.

food_barcodeFood BarcodeA
Read-onlyIdempotent
Inspect

Food product facts by barcode (EAN-13, EAN-8, UPC-A, UPC-E; GTIN check digit validated) from Open Food Facts (ODbL): name, brand, quantity, categories, ingredients text, allergens and traces, additives, Nutri-Score grade, NOVA processing group, Green-Score, nutrients per 100 g (energy, fat, saturates, carbohydrates, sugars, fibre, protein, salt), labels, origin and image URL. Community data: always check the packaging for allergens. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/food-barcode

Inputs: barcode (required), lang.

format_convertFormat ConvertA
Read-onlyIdempotent
Inspect

Convert data between CSV, TSV, JSON, YAML and XML in one call (auto-detects the input format). CSV header handling and delimiter detection, type inference (numbers, booleans, null), nested objects flattened to dotted CSV columns, XML attributes as @keys and repeated elements as arrays, safe YAML subset (no anchors/tags), optional spreadsheet formula-injection guard. Body: {input, from, to, options}; 256 KB limit, clear errors with line numbers on malformed input. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/format-convert

Inputs: to (required), input (required), from, options.

four_squaresFour SquaresA
Read-onlyIdempotent
Inspect

Four nonnegative integers w <= x <= y <= z with w^2 + x^2 + y^2 + z^2 = n. Every nonnegative integer has one. 7 is 1, 1, 1, 2. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/four-squares

Inputs: n (required).

fourth_freeFourth FreeA
Read-onlyIdempotent
Inspect

Whether no fourth power divides n. 1, 8, 12, and 36 qualify. 16, 32, 48, and 81 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fourth-free

Inputs: n (required).

fourth_sumFourth SumA
Read-onlyIdempotent
Inspect

The sum of the first n fourth powers, n(n+1)(2n+1)(3n^2+3n-1)/30. The sum through 0 is 0, through 1 is 1, and through 10 is 25333. n runs from 0 to 10000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fourth-sum

Inputs: n (required).

frames_timecodeFrames TimecodeA
Read-onlyIdempotent
Inspect

Write a frame count since midnight as SMPTE timecode. Set drop for 30 fps drop-frame. The count has to land inside one day. 30 frames at 30 fps is 00:00:01:00. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/frames-timecode

Inputs: frames (required), drop, rate.

franelFranelA
Read-onlyIdempotent
Inspect

The Franel number F(n), the sum of C(n,k)^3 for k from 0 to n. F(0) is 1, F(1) is 2, F(2) is 10, F(4) is 346, and F(5) is 2252. n runs from 0 to 16. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/franel

Inputs: n (required).

franel_centralFranel CentralA
Read-onlyIdempotent
Inspect

The middle summand of the Franel number, C(n, floor(n/2))^3. n=0 gives 1, n=2 gives 8, n=4 gives 216, n=5 gives 1000, and n=6 gives 8000. n runs from 0 to 16. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/franel-central

Inputs: n (required).

franel_gcdFranel GcdA
Read-onlyIdempotent
Inspect

The greatest common divisor of F(n) and F(n+1). n=0 gives 1, n=1 gives 2, and n=6 gives 16. n runs from 0 to 15. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/franel-gcd

Inputs: n (required).

franel_modFranel ModA
Read-onlyIdempotent
Inspect

F(n) modulo m. F(4) mod 7 is 3, F(5) mod 10 is 2, and F(8) mod 100 is 62. n runs from 0 to 16 and m runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/franel-mod

Inputs: m (required), n (required).

franel_sumFranel SumA
Read-onlyIdempotent
Inspect

The sum of the Franel numbers F(0) through F(n). Through 0 it is 1, through 1 it is 3, through 4 it is 415, and through 6 it is 17851. n runs from 0 to 16. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/franel-sum

Inputs: n (required).

frobeniusFrobeniusA
Read-onlyIdempotent
Inspect

The Frobenius number of two coprime integers a and b, each at least 2. It is ab-a-b, the largest integer that cannot be made with non-negative combinations. For 2 and 5 it is 3. For 4 and 7 it is 17. A pair that is not coprime is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/frobenius

Inputs: a (required), b (required).

frugalFrugalA
Read-onlyIdempotent
Inspect

Whether the written factorization uses fewer digits than n. 125 and 128 do. 1, 16, and 12 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/frugal

Inputs: n (required).

frugal_countFrugal CountA
Read-onlyIdempotent
Inspect

How many frugal numbers are at most n. Through 124 there are none, through 125 there is 1, and through 200 there are 2. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/frugal-count

Inputs: n (required).

fubiniFubiniA
Read-onlyIdempotent
Inspect

The nth Fubini number, the ordered partitions of an n-element set. a(0) is 1, a(2) is 3, a(3) is 13, and a(5) is 541. n runs from 0 to 20. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fubini

Inputs: n (required).

fubini_modFubini ModA
Read-onlyIdempotent
Inspect

The nth Fubini number mod m. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 20. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fubini-mod

Inputs: n (required), mod (required).

fubini_sumFubini SumA
Read-onlyIdempotent
Inspect

The sum of Fubini numbers from lo through hi inclusive. The sum from a(0) through a(5) is 634. lo must not pass hi. Each index runs from 0 to 20. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fubini-sum

Inputs: hi (required), lo (required).

fund_holdingsFund HoldingsA
Read-onlyIdempotent
Inspect

Mutual fund / ETF portfolio from its latest public SEC Form N-PORT: top holdings by value (name, CUSIP, ISIN, LEI, shares, USD value, % of net assets, asset and issuer category, country, maturity/coupon for debt), asset-class / country / issuer / currency mix, top-10 concentration, net assets and monthly returns per share class. Look up by fund ticker (VOO, QQQ, BND), series id or class id. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/fund-holdings

Inputs: fund (required), limit.

fuss_catalanFuss CatalanA
Read-onlyIdempotent
Inspect

The Fuss-Catalan number C(pn+1, n) / (pn+1). FC(2,n) is the Catalan number, so FC(2,5) is 42. p runs from 1 to 8 and n from 0 to 30. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fuss-catalan

Inputs: n (required), p (required).

fuss_checkFuss CheckA
Read-onlyIdempotent
Inspect

The Fuss-Catalan division. num is C(pn+1, n), den is pn+1, and value is the exact quotient. p runs from 1 to 8 and n from 0 to 30. Past 15 digits a part is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fuss-check

Inputs: n (required), p (required).

fuzzy_matchFuzzy MatchA
Read-onlyIdempotent
Inspect

Fuzzy string matching for entity resolution, dedupe and "did you mean": match one or many queries against up to 5,000 choices with RapidFuzz-style scorers (WRatio weighted blend, ratio / InDel similarity, partial_ratio, token_sort, token_set, Jaro-Winkler, normalised Levenshtein, Damerau / OSA). Default preprocessing lowercases, folds accents and strips punctuation. Returns top matches with 0-100 scores and choice index, optional per-scorer breakdown. Offline, deterministic. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/fuzzy-match

Inputs: choices (required), limit, query, scorer, +4 more.

fx_rateFx RateA
Read-onlyIdempotent
Inspect

Fiat currency exchange rate (ECB reference rates via Frankfurter, with ExchangeRate-API fallback for 150+ currencies), optional amount conversion and historical date. Read-only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/fx-rate

Inputs: to (required), from (required), date, amount.

gcd_sumGcd SumA
Read-onlyIdempotent
Inspect

The sum of gcd(x, y) over 1 <= x,y <= n. Through 1 it is 1, through 5 it is 37, and through 10 it is 189. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/gcd-sum

Inputs: n (required).

genocchiGenocchiA
Read-onlyIdempotent
Inspect

The nth Genocchi number |G(2n)|, from G(2n) = 2*(1-4^n)*B(2n) with B(1) = +1/2. The first four absolute values are 1, 1, 3, and 17. signed is (-1)^n times that value. n runs from 1 to 20. Past 15 digits a value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/genocchi

Inputs: n (required).

geocodeGeocodeA
Read-onlyIdempotent
Inspect

Geocode an address or place name to latitude/longitude (US Census Geocoder for US street addresses, Photon/OpenStreetMap worldwide), or reverse-geocode lat/lon to an address (with US county/tract). Read-only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/geocode

Inputs: q, lat, lon, lang, +2 more.

geo_distanceGeo DistanceA
Read-onlyIdempotent
Inspect

Geodesic distance and bearings on the WGS-84 ellipsoid: Vincenty (millimetre accuracy) plus great-circle haversine, initial / final bearing with 16-point compass, midpoint, multi-point path length with per-segment legs, and the destination point from a start, bearing and distance. Units km, m, mi, nautical miles or feet. Offline, deterministic. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/geo-distance

Inputs: to, from, units, points, +2 more.

geo_polygonGeo PolygonA
Read-onlyIdempotent
Inspect

Analyse GeoJSON polygons (Polygon, MultiPolygon, Feature or FeatureCollection): geodesic area (m², km², ha, acres; same spherical formula as Turf.js), perimeter, area-weighted centroid, bounding box, validity report (unclosed or short rings, self-intersections, RFC 7946 winding order), point-in-polygon tests for up to 1,000 points honouring holes and edges, convex hull and optional Douglas-Peucker simplification to a tolerance in metres. Offline. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/geo-polygon

Inputs: hull, points, geometry, simplify.

gha_workflow_lintGha Workflow LintA
Read-onlyIdempotent
Inspect

Security audit of a GitHub Actions workflow YAML (zizmor / actionlint style): pwn-request checkouts under pull_request_target / workflow_run, script injection from attacker-controlled ${{ github.event.* }} contexts in run: and github-script, actions not pinned to a commit SHA, missing or write-all permissions, toJSON(secrets), secrets in workflow-wide env, self-hosted runners on PR triggers, persisted checkout credentials, disabled ::set-env / ::add-path commands, curl | bash, cache poisoning in release workflows, artifact poisoning, spoofable bot-actor conditions and hard-coded credentials. Findings carry line numbers, severity and the fix. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/gha-workflow-lint

Inputs: workflow (required).

github_healthGithub HealthA
Read-onlyIdempotent
Inspect

GitHub repository health summary via public API: stars/forks/issues, license, languages, last push age, latest release & commit, heuristic healthScore and notes. Unauthenticated rate limits apply. Price: $0.008 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/github-health

Inputs: repo (required).

golay_rudinGolay RudinA
Read-onlyIdempotent
Inspect

The Golay-Rudin-Shapiro partial sum. Each term is +1 or -1 as the Rudin-Shapiro sign of k, and the value is the sum from k = 0 through n. The sum through n = 3 is 2. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/golay-rudin

Inputs: n (required).

goldbachGoldbachA
Read-onlyIdempotent
Inspect

The Goldbach split of an even n with the smallest prime p, so n = p+q and p <= q. 10 gives 3 and 7. 20 gives 3 and 17. 4 gives 2 and 2. n is even, from 4 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/goldbach

Inputs: n (required).

goldbach_checkGoldbach CheckA
Read-onlyIdempotent
Inspect

Whether p and n-p are both prime. For n=10, p=3 and p=5 work, and p=2 does not. n is even, from 4 to 10000, and p runs from 2 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/goldbach-check

Inputs: n (required), p (required).

goldbach_countGoldbach CountA
Read-onlyIdempotent
Inspect

How many Goldbach splits an even n has, with p <= q. 10 has 2, 20 has 2, and 100 has 6. n is even, from 4 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/goldbach-count

Inputs: n (required).

golombGolombA
Read-onlyIdempotent
Inspect

The nth Golomb term, 1-based. a(1) is 1, a(n) counts how often n will appear, and a(6) is 4. The sequence starts 1, 2, 2, 3, 3, 4. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/golomb

Inputs: n (required).

golomb_inverseGolomb InverseA
Read-onlyIdempotent
Inspect

The smallest index n with Golomb a(n) equal to k. Index 1 holds 1, index 4 holds 3, and index 6 holds 4. k runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/golomb-inverse

Inputs: k (required).

golomb_sumGolomb SumA
Read-onlyIdempotent
Inspect

The sum of the first n Golomb terms, from a(1) through a(n). The sum of the first 5 terms is 11. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/golomb-sum

Inputs: n (required).

gray_bitsGray BitsA
Read-onlyIdempotent
Inspect

The binary reflected Gray code of n, written in exactly width bits. Bit 0 is on the right. n must be smaller than 2^width. A width that cannot hold n is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/gray-bits

Inputs: n (required), width (required).

gray_decodeGray DecodeA
Read-onlyIdempotent
Inspect

Decode a binary reflected Gray code back to its index. The walk xors the code with each of its right shifts. A negative code is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/gray-decode

Inputs: g (required).

gray_encodeGray EncodeA
Read-onlyIdempotent
Inspect

Encode a non-negative integer as a binary reflected Gray code. The code is n xor (n shifted right by one). Zero stays zero, and a negative integer is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/gray-encode

Inputs: n (required).

gray_flipGray FlipA
Read-onlyIdempotent
Inspect

The single bit that flips in the binary reflected Gray code when the index goes from n to n+1. Bit 0 is the least significant bit. A negative index is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/gray-flip

Inputs: n (required).

gray_nextGray NextA
Read-onlyIdempotent
Inspect

The next binary reflected Gray code after g. It is the code of the index one past the index of g. A negative code is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/gray-next

Inputs: g (required).

hammingHammingA
Read-onlyIdempotent
Inspect

Whether n is a Hamming number, that is 5-smooth. 1, 10, 30, and 36 are. 7 and 14 are not. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hamming

Inputs: n (required).

hamming_countHamming CountA
Read-onlyIdempotent
Inspect

How many Hamming numbers are at most n. Through 1 there is 1, through 7 there are 6, through 10 there are 9, through 12 there are 10, and through 30 there are 18. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hamming-count

Inputs: n (required).

hamming_distHamming DistA
Read-onlyIdempotent
Inspect

The Hamming distance of a and b: how many bit positions differ. 13 and 7 differ in 2 places. 0 and 0 differ in none. Both run from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hamming-dist

Inputs: a (required), b (required).

hamming_indexHamming IndexA
Read-onlyIdempotent
Inspect

Where n sits in the Hamming sequence, counting from 1, or 0 if it is not Hamming. 1 is 1, 12 is 10, 36 is 20, and 7 is 0. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hamming-index

Inputs: n (required).

hamming_nextHamming NextA
Read-onlyIdempotent
Inspect

The smallest Hamming number that is at least n. 7 gives 8, 10 stays 10, 11 gives 12, and 31 gives 32. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hamming-next

Inputs: n (required).

hamming_nthHamming NthA
Read-onlyIdempotent
Inspect

The nth Hamming number, counting from 1. The 1st is 1, the 10th is 12, the 18th is 30, and the 20th is 36. n runs from 1 to 400. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hamming-nth

Inputs: n (required).

happyHappyB
Read-onlyIdempotent
Inspect

Follow the happy-number map: replace n by the sum of the squares of its decimal digits. 1 is already happy. 7 reaches 1 in 5 steps. 4 is unhappy and the repeat is 4. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/happy

Inputs: n (required).

harmonicHarmonicA
Read-onlyIdempotent
Inspect

The nth harmonic number as a reduced fraction. H1 is 1/1, H2 is 3/2, and H6 is 49/20. n < 1 is rejected. n runs up to 200. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/harmonic

Inputs: n (required).

harshadHarshadA
Read-onlyIdempotent
Inspect

Whether n is a base-10 Harshad number: n is divisible by the sum of its decimal digits. 18 is Harshad, and 11 is not. n runs from 1 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/harshad

Inputs: n (required).

harshad_baseHarshad BaseA
Read-onlyIdempotent
Inspect

Whether n is a Harshad number in base b: n is divisible by the sum of its base-b digits. 10 is Harshad in base 2. 13 is not Harshad in base 10. n runs from 1 to 999999999999999, and b runs from 2 to 36. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/harshad-base

Inputs: n (required), base (required).

hash_encodeHash EncodeA
Read-onlyIdempotent
Inspect

Hashing, HMAC and encoding toolkit: digests (MD5, SHA-1/2/3, Keccak-256 as used by Ethereum, RIPEMD-160, Whirlpool, CRC32/CRC32C, Adler-32, FNV-1a, xxHash32/64/3/128, MurmurHash3), HMAC (SHA-1/2/3, MD5) with hex or base64 output, encode/decode between UTF-8, hex, base64, base64url, base32, base58 and URL encoding, identification of what a string is (hash type by length, UUID version, JWT, bcrypt/argon2, EVM address with EIP-55 checksum, Bitcoin/Solana address, base64, timestamps) and UUID v4/v7 or random-bytes generation. Offline. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hash-encode

Inputs: input, hashes, generate, hmac_key, +5 more.

headers_auditHeaders AuditA
Read-onlyIdempotent
Inspect

Graded HTTP security-header audit of a URL: HSTS, CSP quality, XFO, nosniff, Referrer/Permissions/COOP/CORP/COEP, cookie flags, redirect chain, server info leaks, with fix recommendations. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/headers-audit

Inputs: url (required).

hermiteHermiteA
Read-onlyIdempotent
Inspect

The physicist Hermite polynomial H(n, x) at an integer x. H(0, x) is 1, H(1, x) is 2x, H(2, 1) is 2, and H(3, 1) is -4. n runs from 0 to 32 and x from -1000 to 1000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hermite

Inputs: n (required), x (required).

hermite_derivHermite DerivA
Read-onlyIdempotent
Inspect

The derivative of the physicist Hermite polynomial, H'(n, x) = 2nH(n-1, x). At n = 3 and x = 1 the derivative is 12. n runs from 1 to 32 and x from -1000 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hermite-deriv

Inputs: n (required), x (required).

hermite_probHermite ProbA
Read-onlyIdempotent
Inspect

The probabilist Hermite polynomial He(n, x) at an integer x. He(0, x) is 1, He(1, x) is x, and He(2, 1) is 0. n runs from 0 to 32 and x from -1000 to 1000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hermite-prob

Inputs: n (required), x (required).

heron_areaHeron AreaB
Read-onlyIdempotent
Inspect

Exact area data for a strict integer triangle. sixteen is 16 times the squared area. When sixteen is a perfect square, area is the reduced value of its square root over 4. A degenerate triple is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/heron-area

Inputs: a (required), b (required), c (required).

hexanacciHexanacciA
Read-onlyIdempotent
Inspect

The nth hexanacci number. H(0) through H(4) are 0, H(5) is 1, and H(10) is 16. Each later term adds the previous six. n runs from 0 to 512. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hexanacci

Inputs: n (required).

hexanacci_indexHexanacci IndexA
Read-onlyIdempotent
Inspect

The smallest index n with hexanacci number H(n) equal to value. 0 is index 0, and 1 is index 5. A number that is not a term, or a leading zero, is rejected. value is a decimal integer of at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hexanacci-index

Inputs: value (required).

hexanacci_modHexanacci ModA
Read-onlyIdempotent
Inspect

H(n) mod m for the hexanacci numbers. H(10) mod 7 is 2, and H(57) mod 97 is 61. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 512. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hexanacci-mod

Inputs: n (required), mod (required).

hexanacci_stepHexanacci StepC
Read-onlyIdempotent
Inspect

The hexanacci step H(n) = H(n-1) + H(n-2) + H(n-3) + H(n-4) + H(n-5) + H(n-6). a through f are those six earlier terms, from oldest to newest. n runs from 6 to 512. Past 15 digits a term is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hexanacci-step

Inputs: n (required).

hexanacci_sumHexanacci SumA
Read-onlyIdempotent
Inspect

The sum of hexanacci numbers from lo through hi. The sum from H(0) through H(10) is 32. lo must not pass hi. Each index runs from 0 to 512. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hexanacci-sum

Inputs: hi (required), lo (required).

higgsHiggsA
Read-onlyIdempotent
Inspect

Whether n is a Higgs prime for exponent 2. 2, 13, and 19 are. 4, 9, and 17 are not. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/higgs

Inputs: n (required).

higgs_countHiggs CountA
Read-onlyIdempotent
Inspect

How many Higgs primes for exponent 2 are at most n. Through 1 there are 0, through 16 there are 6, through 19 there are 7, and through 100 there are 19. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/higgs-count

Inputs: n (required).

higgs_gapHiggs GapA
Read-onlyIdempotent
Inspect

The distance from a Higgs prime to the next one. 2 gives 1, 7 gives 4, 13 gives 6, and 71 gives 8. A number that is not a Higgs prime is rejected. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/higgs-gap

Inputs: n (required).

higgs_indexHiggs IndexA
Read-onlyIdempotent
Inspect

The 1-based place of n in the Higgs primes for exponent 2, or 0 when n is absent. 2 is place 1, 19 is place 7, and 17 is absent. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/higgs-index

Inputs: n (required).

higgs_nextHiggs NextA
Read-onlyIdempotent
Inspect

The smallest Higgs prime for exponent 2 that is at least n. 1 gives 2, 14 gives 19, 17 gives 19, and 73 gives 79. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/higgs-next

Inputs: n (required).

highly_abundantHighly AbundantA
Read-onlyIdempotent
Inspect

Whether sigma(n) is strictly larger than sigma(m) for every m below n. 1, 6, 8, and 16 are. 5 and 9 are not. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/highly-abundant

Inputs: n (required).

highly_compositeHighly CompositeA
Read-onlyIdempotent
Inspect

Whether n is highly composite: it has strictly more divisors than every smaller positive integer. 1, 2, 6, 12, 60, and 5040 are. 3 and 30 are not. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/highly-composite

Inputs: n (required).

highly_composite_countHighly Composite CountA
Read-onlyIdempotent
Inspect

How many highly composite numbers are from 1 through n. There are 4 through 10, 9 through 60, and 10 through 120. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/highly-composite-count

Inputs: n (required).

highly_composite_nextHighly Composite NextA
Read-onlyIdempotent
Inspect

The least highly composite number greater than or equal to n. 1 gives 1, 3 gives 4, 7 gives 12, and 5041 gives 7560. n runs from 1 to 7560. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/highly-composite-next

Inputs: n (required).

hoaxHoaxA
Read-onlyIdempotent
Inspect

Whether n is a composite hoax number: its digit sum equals the digit sum of its distinct prime factors. 22, 58, and 84 are. 4 is Smith but not hoax. Primes are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hoax

Inputs: n (required).

hockey_stickHockey StickA
Read-onlyIdempotent
Inspect

The hockey-stick sum of binomial coefficients C(i, r) from i = r through n. It equals C(n+1, r+1). The sum for r = 2 and n = 5 is 20. r must not pass n. Both run from 0 to 1024. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hockey-stick

Inputs: n (required), r (required).

hof_conwayHof ConwayA
Read-onlyIdempotent
Inspect

The nth Hofstadter-Conway term. a(1) and a(2) are 1, and a(n) = a(a(n-1)) + a(n-a(n-1)). a(5) is 3, and a(10) is 6. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-conway

Inputs: n (required).

hof_conway_sumHof Conway SumA
Read-onlyIdempotent
Inspect

The sum of Hofstadter-Conway terms a(1) through a(n). The sum through a(10) is 32, and the sum through a(30) is 266. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-conway-sum

Inputs: n (required).

hof_femaleHof FemaleA
Read-onlyIdempotent
Inspect

The nth Hofstadter female term. F(0) is 1, M(0) is 0, F(n) = n - M(F(n-1)), and M(n) = n - F(M(n-1)). F(1) is 1, and F(5) is 3. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-female

Inputs: n (required).

hof_gHof GA
Read-onlyIdempotent
Inspect

The nth Hofstadter G term. G(0) is 0, and G(n) = n - G(G(n-1)). G(1) is 1, and G(10) is 6. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-g

Inputs: n (required).

hof_hHof HA
Read-onlyIdempotent
Inspect

The nth Hofstadter H term. H(0) is 0, and H(n) = n - H(H(H(n-1))). H(1) is 1, and H(10) is 7. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-h

Inputs: n (required).

hof_maleHof MaleA
Read-onlyIdempotent
Inspect

The nth Hofstadter male term. M(0) is 0, F(0) is 1, M(n) = n - F(M(n-1)), and F(n) = n - M(F(n-1)). M(2) is 1, and M(5) is 3. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-male

Inputs: n (required).

hof_pairHof PairA
Read-onlyIdempotent
Inspect

The Hofstadter male and female terms at the same index. M(0) is 0 and F(0) is 1. At n = 5 both terms are 3. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-pair

Inputs: n (required).

hof_qHof QA
Read-onlyIdempotent
Inspect

The nth Hofstadter Q term. Q(1) and Q(2) are 1, and Q(n) = Q(n-Q(n-1)) + Q(n-Q(n-2)). Q(10) is 6, and Q(16) is 9. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-q

Inputs: n (required).

hof_q_prefixHof Q PrefixA
Read-onlyIdempotent
Inspect

The first n Hofstadter Q terms, from Q(1) through Q(n), written as comma-separated integers. The first 10 terms are 1,1,2,3,3,4,5,5,6,6. n runs from 1 to 4096. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-q-prefix

Inputs: n (required).

hof_q_sumHof Q SumB
Read-onlyIdempotent
Inspect

The sum of Hofstadter Q terms Q(1) through Q(n). The sum through Q(10) is 36, and the sum through Q(20) is 129. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hof-q-sum

Inputs: n (required).

hofstadterHofstadterA
Read-onlyIdempotent
Inspect

Hofstadter G. G(0) is 0, G(1) and G(2) are 1, G(5) is 3, and G(10) is 6. The rule is G(n) = n - G(G(n-1)). n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hofstadter

Inputs: n (required).

hofstadter_conwayHofstadter ConwayA
Read-onlyIdempotent
Inspect

Conway's Hofstadter sequence. a(1) and a(2) are 1, a(6) is 4, a(10) is 6, and a(16) is 8. The rule is a(n) = a(a(n-1)) + a(n-a(n-1)). n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hofstadter-conway

Inputs: n (required).

hofstadter_fHofstadter FA
Read-onlyIdempotent
Inspect

Hofstadter's female sequence. F(0) and F(1) are 1, F(5) is 3, and F(7) and F(8) are 5. The male term at the same index is computed first. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hofstadter-f

Inputs: n (required).

hofstadter_mHofstadter MB
Read-onlyIdempotent
Inspect

Hofstadter's male sequence. M(0) and M(1) are 0, M(2) is 1, M(5) is 3, and M(7) is 4. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hofstadter-m

Inputs: n (required).

hofstadter_sumHofstadter SumA
Read-onlyIdempotent
Inspect

The sum of Hofstadter G from 0 through n. Through 0 it is 0, through 1 it is 1, through 5 it is 10, and through 10 it is 35. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hofstadter-sum

Inputs: n (required).

holidays_business_daysHolidays Business DaysA
Read-onlyIdempotent
Inspect

Public holidays for 100+ countries (optionally one state/region) and business-day math in one call: list holidays for a year, add or subtract N business days, check if a date is a business day, or count business days between two dates, skipping weekends (configurable, e.g. fri,sat) and public holidays. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/holidays-business-days

Inputs: country (required), op, end, date, +5 more.

home_growsHome GrowsA
Read-onlyIdempotent
Inspect

Whether the home prime of n has more digits than n. 4, 6, and 10 do. 2 and 21 do not. A chain past 20 steps or 12 digits is rejected. n runs from 2 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/home-grows

Inputs: n (required).

home_primeHome PrimeA
Read-onlyIdempotent
Inspect

The home prime of n. 2 stays 2, 4 becomes 211, 10 becomes 773, and 16 becomes 31636373. The search stops after 20 steps or 12 digits. n runs from 2 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/home-prime

Inputs: n (required).

home_prime_lenHome Prime LenA
Read-onlyIdempotent
Inspect

How many digits the home prime of n has. 2 has 1, 4 and 10 have 3, and 16 has 8. A chain past 20 steps or 12 digits is rejected. n runs from 2 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/home-prime-len

Inputs: n (required).

home_prime_stepsHome Prime StepsA
Read-onlyIdempotent
Inspect

How many factor-concatenations turn n into a prime. 2 takes 0, 6 and 12 take 1, 4 takes 2, and 10 and 16 take 4. A chain past 20 steps or 12 digits is rejected. n runs from 2 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/home-prime-steps

Inputs: n (required).

hsts_preloadHsts PreloadA
Read-onlyIdempotent
Inspect

HSTS preload check for a domain: current status on the Chromium preload list (hstspreload.org), the official preloadable errors/warnings, and our own live checks of the site's HSTS header (max-age >= 1 year, includeSubDomains, preload, single header) and HTTP->HTTPS same-host redirect, fetched SSRF-safely. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/hsts-preload

Inputs: domain (required).

html_sanitizeHtml SanitizeA
Read-onlyIdempotent
Inspect

Sanitize untrusted HTML (LLM output, user comments, scraped pages, email bodies) with a strict allowlist before rendering it: three profiles (strict inline formatting, basic with links and lists, rich with images and tables) or a custom tag list; drops scripts, styles, iframes, forms, SVG/MathML, event handlers, javascript:/vbscript:/data: URLs and comments; adds rel="noopener noreferrer nofollow" (+ optional target=_blank) to links; returns clean HTML, a plain-text version and a report of everything removed. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/html-sanitize

Inputs: html (required), profile, schemes, nofollow, +3 more.

html_selectHtml SelectA
Read-onlyIdempotent
Inspect

Scrape a public page (SSRF-safe fetch) or an HTML string with a CSS selector (CSS3 plus :has, :contains, :nth-child(an+b), attribute operators) or raw XPath: returns each match's text, attributes and optionally outer HTML, or just one attribute (href / src resolved to absolute URLs). Also returns the XPath the selector compiled to. Like querySelectorAll without a browser. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/html-select

Inputs: url, attr, html, limit, +4 more.

html_tablesHtml TablesA
Read-onlyIdempotent
Inspect

Extract HTML tables from a public URL (SSRF-safe fetch) or an HTML string into clean JSON: header detection (thead or leading th rows, multi-row headers joined), rowspan / colspan expansion, captions, rows as objects keyed by header or as arrays, optional number parsing ("$1,234.50", "45%"), and table choice by index or CSS selector (e.g. table.wikitable). Layout tables with too few rows are skipped. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/html-tables

Inputs: url, html, index, format, +6 more.

html_to_markdownHtml To MarkdownA
Read-onlyIdempotent
Inspect

Convert an HTML string to clean Markdown (GFM tables, fenced code, nested lists). No fetch. Body: { "html": "...", "base_url"?: "https://...", "extract_main"?: false }. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/html-to-markdown

Inputs: html (required), base_url, extract_main, include_links, +1 more.

http_probeHttp ProbeB
Read-onlyIdempotent
Inspect

Fast HTTP GET probe: final URL, status, timing, response bytes, and a subset of interesting headers (server, cache, HSTS, CDN). Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/http-probe

Inputs: url (required).

hyperperfectHyperperfectA
Read-onlyIdempotent
Inspect

Whether n = 1 + k*(sigma(n) - n - 1) for a positive integer k, and that k. 6 and 28 give k=1. 21 gives k=2. 12 and 120 do not. k is 0 when n is not hyperperfect. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hyperperfect

Inputs: n (required).

hypothesis_testHypothesis TestA
Read-onlyIdempotent
Inspect

Run a statistical significance test and get the statistic, p-value, effect size, confidence interval and a plain-English verdict — results match scipy.stats. Tests: Welch / Student two-sample t, paired t, one-sample t, one-proportion z, A/B test of two conversion rates (pooled z, lift, CI of the difference), chi-square goodness of fit and independence (Yates for 2×2, Cramér's V), one-way ANOVA (η²), Kruskal–Wallis, Mann–Whitney U (exact for small samples, rank-biserial r), Wilcoxon signed-rank (exact / permutation / normal), Pearson and Spearman correlation (Fisher-z CI) and Fisher's exact test. Two-sided or one-sided alternatives. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/hypothesis-test

Inputs: test (required), a, b, mu, +15 more.

iban_validateIban ValidateA
Read-onlyIdempotent
Inspect

Validate an IBAN offline: ISO 7064 mod-97 checksum, per-country length and BBAN structure from the SWIFT IBAN registry (100+ countries plus national/experimental ones), national check digits for BE, ES, FR (+territories), IT/SM and NO; returns country, SEPA membership, bank code, branch code and account number, and the expected check digits on a typo. Optional BIC/SWIFT structure check (ISO 9362) and BIC-vs-IBAN country match. No data leaves the server. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/iban-validate

Inputs: bic, iban.

icbrtIcbrtA
Read-onlyIdempotent
Inspect

The integer cube root of a non-negative decimal integer, the greatest r with r^3 not exceeding n. icbrt(26) is 2 and icbrt(27) is 3. A leading zero is rejected. n has at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/icbrt

Inputs: n (required).

ics_generateIcs GenerateA
Read-onlyIdempotent
Inspect

Generate a standards-compliant iCalendar (.ics, RFC 5545) file from JSON events — ready for Google Calendar, Outlook and Apple Calendar invites or "add to calendar" links. Time zones with a generated VTIMEZONE (DST rules from the IANA database), all-day and multi-day events, recurrence (RRULE validated, EXDATE), reminders (VALARM), organizer / attendees with RSVP, location, URL, geo, categories and status. Proper escaping and 75-octet line folding; deterministic UIDs. Returns the .ics text and a data: URI. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ics-generate

Inputs: events (required), method, timezone, calendarName.

ics_parseIcs ParseA
Read-onlyIdempotent
Inspect

Parse an iCalendar (.ics) feed from a URL (SSRF-safe; Google / Outlook / Apple calendar exports) or inline text into JSON: calendar name and zone, events with start / end in any IANA zone, all-day flag, location, organizer, attendee count, status and recurrence rule in English. Give a from / to window to expand recurring events (RRULE, EXDATE, RDATE, RECURRENCE-ID overrides) into concrete occurrences. Windows time-zone names are mapped to IANA. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ics-parse

Inputs: to, tz, ics, url, +3 more.

identicon_svgIdenticon SvgA
Read-onlyIdempotent
Inspect

Deterministic avatar SVG for any user id, email, wallet address or name — the same input always gives the same image, with no storage or external service. Styles: identicon (GitHub-style symmetric 5×5 grid), pixel (8×8 symmetric sprite), initials (coloured badge with up to two initials, readable text colour chosen by WCAG contrast) and gradient (two-tone ring). Returns the SVG markup, a data: URI ready for , the palette, and the Gravatar MD5 hash for emails. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/identicon-svg

Inputs: value (required), name, size, style, +2 more.

id_generateId GenerateA
Read-onlyIdempotent
Inspect

Generate unique IDs: UUID v4 (random), v7 (time-ordered, monotonic within a batch), v5 (deterministic from namespace + name), ULID, nanoid (custom size / alphabet), KSUID and MongoDB ObjectId, up to 100 at once. Or inspect an existing ID: detects UUID (version, variant, embedded v1 / v6 / v7 time), ULID, KSUID, ObjectId and Snowflake (Twitter / Discord) and decodes the timestamp. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/id-generate

Inputs: id, name, size, type, +3 more.

image_infoImage InfoA
Read-onlyIdempotent
Inspect

Inspect an image without decoding pixels: format, dimensions (EXIF-orientation aware), megapixels, animation, sha256, EXIF summary (camera, exposure, GPS). Body: { "image": "" }. Max ~190KB input image (the service caps POST bodies at 256KB, base64 included). Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/image-info

Inputs: image (required), include_exif_tags.

image_resizeImage ResizeA
Read-onlyIdempotent
Inspect

Resize / convert an image (GD): width/height up to 4096, fit contain|cover|fill|inside, output png|jpeg|webp|gif, quality, EXIF auto-orient, metadata stripped. Body: { "image": "", "width": 256 }. Max ~190KB input image (the service caps POST bodies at 256KB, base64 included). Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/image-resize

Inputs: image (required), fit, width, format, +4 more.

imei_validateImei ValidateA
Read-onlyIdempotent
Inspect

IMEI and IMEISV. A 15-digit IMEI must pass the Luhn check. A 14-digit IMEI has no check digit, and a 16-digit IMEISV has none either. Spaces and hyphens are ignored. This does not look the number up with a manufacturer. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/imei-validate

Inputs: value (required).

impermanent_lossImpermanent LossA
Read-onlyIdempotent
Inspect

Impermanent loss calculator for AMM liquidity positions: full-range constant-product pools (Uniswap v2, Raydium, Orca classic) or concentrated ranges (Uniswap v3/v4, Orca Whirlpools, Raydium CLMM, Meteora) from entry price, current price and an optional price range. Returns LP value vs simply holding, the loss in percent and money, token amounts at entry and now, in-range status and, with a fee APR, the fees earned and break-even. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/impermanent-loss

Inputs: entryPrice (required), currentPrice (required), days, feeApr, +3 more.

inet_checksumInet ChecksumB
Read-onlyIdempotent
Inspect

RFC 1071 internet checksum. Big-endian 16-bit words are added with end-around carry, then inverted. An odd final byte is padded with zero. The RFC example 0001 F203 F4F5 F6F7 is 220d. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/inet-checksum

Inputs: hex, text.

infinitary_abundantInfinitary AbundantA
Read-onlyIdempotent
Inspect

Whether the infinitary divisors of n sum to more than 2n. 24 and 30 do. 6, 16, 36, and 48 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/infinitary-abundant

Inputs: n (required).

infinitary_countInfinitary CountB
Read-onlyIdempotent
Inspect

How many infinitary divisors n has. 6 and 8 and 12 have 4, 16 has 2, and 24 has 8. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/infinitary-count

Inputs: n (required).

infinitary_deficientInfinitary DeficientA
Read-onlyIdempotent
Inspect

Whether the infinitary divisors of n sum to less than 2n. 1, 16, 36, and 48 do. 6, 24, and 60 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/infinitary-deficient

Inputs: n (required).

infinitary_perfectInfinitary PerfectA
Read-onlyIdempotent
Inspect

Whether the infinitary divisors of n sum to 2n. 6, 60, and 90 do. 16, 24, 36, and 48 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/infinitary-perfect

Inputs: n (required).

infinitary_sigmaInfinitary SigmaA
Read-onlyIdempotent
Inspect

The sum of the infinitary divisors of n. 6 gives 12, 8 gives 15, 16 gives 17, 36 gives 50, and 48 gives 68. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/infinitary-sigma

Inputs: n (required).

invoice_totalInvoice TotalA
Read-onlyIdempotent
Inspect

Invoice math in exact cents. Each line is quantity × unit price, then an optional line discount, rounded half away from zero to the cent. An invoice-level discount comes off the subtotal, then tax is that percent of the discounted subtotal, rounded the same way. Returns every line, the subtotal, discount, tax, and total. A discount larger than the amount it applies to is rejected. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/invoice-total

Inputs: lines (required), taxPct, discountPct, discountAmount.

involutionInvolutionA
Read-onlyIdempotent
Inspect

The number of involutions of n objects. I(0) and I(1) are 1, and I(n) = I(n-1) + (n-1)*I(n-2). I(5) is 26, and I(10) is 9496. n runs from 0 to 100. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/involution

Inputs: n (required).

involution_fixedInvolution FixedA
Read-onlyIdempotent
Inspect

The number of involutions of n objects with exactly k fixed points. It is 0 when n-k is odd. For n = 5 and k = 1 the count is 15, and for n = 5 and k = 5 it is 1. n runs from 0 to 100, and k runs from 0 to n. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/involution-fixed

Inputs: k (required), n (required).

involution_modInvolution ModA
Read-onlyIdempotent
Inspect

I(n) mod m, the involution number reduced by a positive modulus. Zero is rejected. n runs from 0 to 100. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/involution-mod

Inputs: n (required), mod (required).

involution_sumInvolution SumA
Read-onlyIdempotent
Inspect

The sum of involution numbers from lo through hi inclusive. The sum from I(0) through I(10) is 13232. lo must not pass hi. Each index runs from 0 to 100. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/involution-sum

Inputs: hi (required), lo (required).

ioc_extractIoc ExtractA
Read-onlyIdempotent
Inspect

Extract indicators of compromise from threat reports, alerts, logs or emails: IPv4/IPv6 (private ranges optional), domains (TLD-validated, file-name false positives suppressed), URLs, email addresses, MD5/SHA-1/SHA-256/SHA-512 hashes, CVE IDs, MITRE ATT&CK technique IDs, ASNs, Bitcoin (checksum-validated) / Ethereum / Monero addresses, Windows registry keys and suspicious file names. Defanged input (hxxp, [.], (dot), [at]) is refanged automatically; output can be defanged for safe sharing. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ioc-extract

Inputs: text (required), types, defang, includePrivate.

ip_intelIp IntelA
Read-onlyIdempotent
Inspect

IP ASN + geolocation from free public sources (ipapi.co + RIPE Stat prefix-overview). Country/city/coords, ASN/org, announced prefix. Public IPs only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ip-intel

Inputs: ip (required).

ipowIpowA
Read-onlyIdempotent
Inspect

The integer power base^exp. 2^10 is 1024, and (-2)^5 is -32. 0^0 is 1. exp runs from 0 to 256. The base has at most 80 digits. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ipow

Inputs: exp (required), base (required).

ip_range_mergeIp Range MergeA
Read-onlyIdempotent
Inspect

Aggregate IP allow/deny lists: merges any mix of IPv4/IPv6 addresses, CIDRs, "a-b" ranges and "ip netmask" entries into the minimal set of CIDR blocks, optionally subtracts an exclude list, reports address counts and tests IPs for membership. For firewall rules, WAF / CDN allowlists and cloud security groups. POST JSON body {items, exclude?, check?}. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ip-range-merge

Inputs: items (required), check, exclude.

ip_reputationIp ReputationA
Read-onlyIdempotent
Inspect

IP blocklist reputation for up to 50 IPv4/IPv6 addresses: membership in the Tor exit list, Spamhaus DROP/DROPv6, abuse.ch Feodo Tracker botnet C2 and FireHOL level1 (cached published lists), with matched range/SBL reference, categories and a simple 0-100 risk score. Blocklist membership only; complements /v1/ip-intel (geo/ASN). Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ip-reputation

Inputs: ip (required).

isbn_validateIsbn ValidateA
Read-onlyIdempotent
Inspect

ISBN-10 and ISBN-13 check digit. Spaces and hyphens are ignored, and a 9-digit number is read as an ISBN-10 with a leading zero. ISBN-13 must use the 978 or 979 prefix. A valid ISBN-10 is also returned as ISBN-13, and a 978 ISBN-13 is also returned as ISBN-10. This does not check that the publisher prefix was ever assigned. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/isbn-validate

Inputs: value (required).

isin_validateIsin ValidateA
Read-onlyIdempotent
Inspect

ISIN check digit (ISO 6166). Two letters, nine letters or digits, one check digit. Letters expand to their alphabet position (A = 10) and the Luhn sum of that digit string must be 0. The prefix must be an ISO country code or one of the substitute prefixes EU, QS, QT, XA, XB, XC, XD, XF, XK, XS. Spaces are ignored. The national security id inside is not looked up. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/isin-validate

Inputs: value (required).

isqrtIsqrtA
Read-onlyIdempotent
Inspect

The integer square root of a non-negative decimal integer, the greatest r with r^2 not exceeding n. isqrt(0) is 0 and isqrt(10) is 3. A leading zero is rejected. n has at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/isqrt

Inputs: n (required).

isquareIsquareA
Read-onlyIdempotent
Inspect

Whether a non-negative decimal integer is a perfect square, and the root when it is. 16 is 4 squared. 15 is not a square. A leading zero is rejected. n has at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/isquare

Inputs: n (required).

issn_validateIssn ValidateA
Read-onlyIdempotent
Inspect

ISSN check digit (8 characters, the last may be X). Spaces and hyphens are ignored. The formatted form is the two groups of four. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/issn-validate

Inputs: value (required).

jacobiJacobiA
Read-onlyIdempotent
Inspect

The Jacobi symbol (a/n). n must be odd and positive. The value is -1, 0, or 1. An even or non-positive n is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jacobi

Inputs: a (required), n (required).

jacobsthalJacobsthalA
Read-onlyIdempotent
Inspect

The nth Jacobsthal number. J0 is 0, J1 is 1, and each later term is the previous one plus twice the one before that. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 8192. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jacobsthal

Inputs: n (required), mod.

jacobsthal_addJacobsthal AddA
Read-onlyIdempotent
Inspect

The Jacobsthal addition rule. (L(a)*J(b) + J(a)*L(b)) / 2 is J(a+b). a+b must be at most 8192. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jacobsthal-add

Inputs: a (required), b (required).

jacobsthal_lucasJacobsthal LucasA
Read-onlyIdempotent
Inspect

The nth Jacobsthal-Lucas number. L0 is 2, L1 is 1, and later terms use the Jacobsthal recurrence. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 8192. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jacobsthal-lucas

Inputs: n (required), mod.

jacobsthal_powerJacobsthal PowerA
Read-onlyIdempotent
Inspect

The power identity J(n) + J(n+1) = 2^n. left is J(n), right is J(n+1), and value is their sum. n runs from 0 to 8191 so that n+1 stays in range. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jacobsthal-power

Inputs: n (required).

jacobsthal_sumJacobsthal SumA
Read-onlyIdempotent
Inspect

The sum of Jacobsthal numbers, or Jacobsthal-Lucas numbers, from lo through hi inclusive. seq is j or l. lo must not pass hi. Each index runs from 0 to 8192. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jacobsthal-sum

Inputs: hi (required), lo (required), seq.

jordan_totientJordan TotientA
Read-onlyIdempotent
Inspect

The Jordan totient J(k, n). J(1, n) is Euler's totient. J(1, 6) is 2 and J(2, 6) is 24. k runs from 1 to 12 and n runs from 1 to 1000000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jordan-totient

Inputs: k (required), n (required).

josephusJosephusA
Read-onlyIdempotent
Inspect

The surviving seat in the Josephus circle. Seats are 1 through n, counting starts at 1, and every k-th remaining person leaves. 5 people and every 2nd leave seat 3. 41 people and every 3rd leave seat 31. n and k run from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/josephus

Inputs: k (required), n (required).

josephus_firstJosephus FirstA
Read-onlyIdempotent
Inspect

The first person eliminated in the Josephus circle. With 5 people and every 2nd, person 2 leaves first. With every 3rd, person 3 leaves first. A circle of one person has nobody to eliminate. n runs from 2 to 10000 and k from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/josephus-first

Inputs: k (required), n (required).

josephus_k2Josephus K2A
Read-onlyIdempotent
Inspect

The Josephus survivor when every 2nd person is eliminated. Write n = 2^m + l with l < 2^m. The survivor is 2*l + 1. 5 gives 3, 10 gives 5, and 41 gives 19. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/josephus-k2

Inputs: n (required).

josephus_orderJosephus OrderA
Read-onlyIdempotent
Inspect

The elimination order in the Josephus circle, comma-separated, not including the survivor. With 5 people and every 2nd, the order is 2,4,1,5. n runs from 2 to 24 and k from 1 to 100. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/josephus-order

Inputs: k (required), n (required).

josephus_placeJosephus PlaceB
Read-onlyIdempotent
Inspect

When a seat is eliminated. Place 1 is the first person out. The survivor has place n. With 5 people and every 2nd, seat 2 has place 1 and seat 3 has place 5. The seat must be from 1 to n. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/josephus-place

Inputs: k (required), n (required), seat (required).

json_canonicalizeJson CanonicalizeA
Read-onlyIdempotent
Inspect

RFC 8785 JSON Canonicalization Scheme (JCS): deterministic serialization with keys sorted by UTF-16 code units and ECMAScript number formatting, plus SHA-256 / SHA-512 digests of the canonical bytes for signing, caching and deduplication. Also returns sorted pretty JSON and document stats (depth, keys, values, bytes). POST JSON body {json}. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/json-canonicalize

Inputs: json (required), pretty.

json_diffJson DiffA
Read-onlyIdempotent
Inspect

Structural diff of two JSON documents: list of added / removed / changed values with JSON Pointer paths and old/new values, an RFC 6902 JSON Patch that turns a into b, and counts. Arrays are aligned by longest common subsequence (inserted items show as inserts, not a cascade of changes) or matched by an id field. POST JSON body {a, b}. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/json-diff

Inputs: a (required), b (required), arrayKey, maxChanges.

json_patchJson PatchA
Read-onlyIdempotent
Inspect

Apply a JSON Patch (RFC 6902: add, remove, replace, move, copy, test) or a JSON Merge Patch (RFC 7386) to a JSON document and return the result. Atomic: any failing operation or test returns 422 with the operation index and nothing is applied. POST JSON body {document, patch}. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/json-patch

Inputs: patch (required), document (required), mode.

jsonpathJsonpathA
Read-onlyIdempotent
Inspect

Query JSON with JSONPath (RFC 9535): dot and bracket names, indexes, slices, wildcards, recursive descent (..) and filters with comparisons, && || !, and length() / count() / match() / search() / value() functions, e.g. $.store.book[?@.price < 10].title. Returns matched values with their normalized paths. Several queries per call. POST JSON body {json, query}. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jsonpath

Inputs: json (required), limit, query, queries.

json_repairJson RepairA
Read-onlyIdempotent
Inspect

Repair broken or LLM-style JSON into valid JSON: strips markdown fences and surrounding prose, comments, trailing/missing commas, single or smart quotes, unquoted keys and values, Python/JS literals (True/None/undefined), NaN/Infinity, unescaped inner quotes and control characters, truncated output (closes open strings/arrays/objects) and mismatched brackets. Reports every fix applied, the original parse error, type and size stats, and optionally runs a JSONPath query ($.a.b[0], [*], .., slices, unions, filters) on the result. Offline; 200 KB. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/json-repair

Inputs: text (required), query, pretty.

json_schema_inferJson Schema InferA
Read-onlyIdempotent
Inspect

Infer a JSON Schema (draft 2020-12) from one JSON document or many samples: types (integer vs number), nested objects and arrays, required keys (present in every sample), nullable fields, string formats (date-time, date, email, uri, uuid, ipv4/6) and optionally enums and numeric bounds. Turns API responses into a contract for validation or tool definitions. POST JSON body. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/json-schema-infer

Inputs: json, enums, title, bounds, +1 more.

json_to_typesJson To TypesA
Read-onlyIdempotent
Inspect

Generate typed models from sample JSON: TypeScript interfaces, Zod schemas, Python Pydantic models, Go structs (json tags) or Rust serde structs. Nested objects become named types, optional and nullable fields are detected across samples, arrays are typed by their merged items. POST JSON body {json or samples, language, rootName}. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/json-to-types

Inputs: json, samples, language, rootName.

juggler_chainJuggler ChainA
Read-onlyIdempotent
Inspect

The juggler path from n through 1, comma-separated. 1 gives "1" and 3 gives "3,5,11,36,6,2,1". n runs from 1 to 20. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/juggler-chain

Inputs: n (required).

juggler_maxJuggler MaxA
Read-onlyIdempotent
Inspect

The largest term on the juggler path from n down to 1. 1 peaks at 1, 3 peaks at 36, and 9 peaks at 140. n runs from 1 to 20. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/juggler-max

Inputs: n (required).

juggler_oddJuggler OddA
Read-onlyIdempotent
Inspect

How many odd terms appear before the final 1 on the juggler path. 1 and 2 have none, 7 has 1, 5 has 2, and 3 and 9 have 3. n runs from 1 to 20. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/juggler-odd

Inputs: n (required).

juggler_stepJuggler StepA
Read-onlyIdempotent
Inspect

One juggler step. An even n goes to its integer square root, and an odd n goes to the integer square root of its cube. 1 stays 1, 2 gives 1, 3 gives 5, 9 gives 27, and 10 gives 3. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/juggler-step

Inputs: n (required).

juggler_stepsJuggler StepsA
Read-onlyIdempotent
Inspect

How many juggler steps reach 1. 1 takes 0, 2 takes 1, 3 takes 6, 7 takes 4, and 9 takes 7. n runs from 1 to 20. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/juggler-steps

Inputs: n (required).

jwk_convertJwk ConvertA
Read-onlyIdempotent
Inspect

Convert public keys between PEM, JWK and OpenSSH formats and compute their identifiers — what an agent needs to publish a JWKS, configure an OIDC / JWT verifier or pin a key. Accepts SPKI or PKCS#1 PEM, X.509 certificates (PEM or base64 DER), OpenSSH public keys, a JWK or a whole JWKS. Returns the public JWK (RSA, EC P-256 / P-384 / P-521 / secp256k1, OKP Ed25519 / Ed448 / X25519 / X448), RFC 7638 thumbprint (and RFC 9278 thumbprint URI), SPKI PEM, OpenSSH line with its SHA256 fingerprint, the pin-sha256 SPKI hash, x5t / x5t#S256 for certificates, suggested JWS algorithms and weak-key warnings. Public keys only: private keys are refused, never processed. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jwk-convert

Inputs: key (required), alg, kid, use.

jwt_decodeJwt DecodeA
Read-onlyIdempotent
Inspect

Decode a JWT (JWS or JWE header), POST only (token in the JSON body, never in a URL): header, claims, alg/kid, exp/nbf/iat status with leeway, aud/iss checks, and security findings (alg none, HMAC alg-confusion risk, jku/x5u/jwk header keys, missing exp, odd kid). Optionally verifies the signature against a JWKS URL you supply, or one discovered from the token's https iss via OpenID discovery (fetched SSRF-safely): RS256/384/512, PS256/384/512, ES256/384/512, ES256K and EdDSA. Never trusts alg none. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jwt-decode

Inputs: token (required), aud, iss, leeway, +2 more.

jwt_signJwt SignA
Read-onlyIdempotent
Inspect

Create or verify HMAC-signed JWTs (HS256 / HS384 / HS512) — for test fixtures, service-to-service tokens, webhook auth and debugging "invalid signature" errors. sign: builds header + claims with iat / exp / nbf from durations ("15m", "1h", "7d"), iss / sub / aud shortcuts and an optional random jti, and returns the compact token. verify: checks the signature in constant time plus exp / nbf / iat with leeway and optional issuer / audience expectations, and explains exactly why a token fails. The secret can be UTF-8, base64, base64url or hex; it is never echoed or stored. Warns when the secret is shorter than the hash (RFC 7518 §3.2). For RS / ES / EdDSA token decoding and JWKS verification use /v1/jwt-decode. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/jwt-sign

Inputs: secret (required), alg, iat, jti, +12 more.

k8s_manifest_lintK8s Manifest LintA
Read-onlyIdempotent
Inspect

Security and reliability audit of Kubernetes YAML (multi-document, List kinds; kubesec / kube-score style): privileged containers, root users, privilege escalation, dangerous capabilities, host namespaces / hostPath / docker.sock mounts, writable root filesystems, seccomp, :latest or untagged images, missing resource limits and probes, literal secrets in env, hostPorts, automounted service-account tokens, risky Services (externalIPs, NodePort), Ingress without TLS, RBAC wildcards / escalate / bind / impersonate / secrets access, cluster-admin and anonymous bindings and committed Secret data. Per-resource findings with a 0-100 score. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/k8s-manifest-lint

Inputs: manifest (required).

kaprekarKaprekarA
Read-onlyIdempotent
Inspect

Whether n is a Kaprekar number. Split n^2 so the right part has as many digits as n; the two parts add to n, and the right part is not 0. 1, 9, 45, 297, and 9999 are. 10 is not. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kaprekar

Inputs: n (required).

kaprekar_chainKaprekar ChainA
Read-onlyIdempotent
Inspect

The four-digit Kaprekar chain from n through 6174, comma-separated. 3524 gives "3524,3087,8352,6174" and 6174 gives "6174". A repdigit is rejected. n runs from 0 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kaprekar-chain

Inputs: n (required).

kaprekar_kernelKaprekar KernelA
Read-onlyIdempotent
Inspect

The value the four-digit Kaprekar routine reaches. Every non-repdigit from 0 to 9999 reaches 6174. A repdigit is rejected. n runs from 0 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kaprekar-kernel

Inputs: n (required).

kaprekar_repdigitKaprekar RepdigitA
Read-onlyIdempotent
Inspect

Whether the four-digit padding of n uses only one digit. 0, 1111, and 2222 do. 5, 111, and 6174 do not. n runs from 0 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kaprekar-repdigit

Inputs: n (required).

kaprekar_stepKaprekar StepA
Read-onlyIdempotent
Inspect

One step of the four-digit Kaprekar routine, padding with leading zeros. 3524 gives 3087, 14 gives 4086, 6174 gives 6174, and a repdigit such as 1111 gives 0. n runs from 0 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kaprekar-step

Inputs: n (required).

kaprekar_stepsKaprekar StepsA
Read-onlyIdempotent
Inspect

How many steps the four-digit Kaprekar routine takes to reach 6174. 6174 takes 0, 3524 takes 3, 5 takes 6, and 14 takes 7. A repdigit is rejected. n runs from 0 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kaprekar-steps

Inputs: n (required).

keithKeithA
Read-onlyIdempotent
Inspect

Whether n is a Keith number. 14, 19, 28, 47, 61, 75, and 197 are. 10, 11, and any one-digit number are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/keith

Inputs: n (required).

keith_countKeith CountA
Read-onlyIdempotent
Inspect

How many Keith numbers are at most n. Through 13 there are none, through 14 there is 1, through 100 there are 6, and through 197 there are 7. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/keith-count

Inputs: n (required).

keith_nextKeith NextA
Read-onlyIdempotent
Inspect

The smallest Keith number that is at least n. 1 and 14 give 14, 15 gives 19, and 76 gives 197. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/keith-next

Inputs: n (required).

keith_rowKeith RowA
Read-onlyIdempotent
Inspect

The digit recurrence of a Keith number, comma-separated, through n itself. 14 gives "1,4,5,9,14". A number that is not Keith is rejected. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/keith-row

Inputs: n (required).

keith_stepsKeith StepsA
Read-onlyIdempotent
Inspect

How many new terms are generated after the digits before a Keith number reaches itself. 14 takes 3 and 197 takes 5. A number that is not Keith is rejected. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/keith-steps

Inputs: n (required).

keyword_extractKeyword ExtractA
Read-onlyIdempotent
Inspect

Keyphrase extraction for tagging, SEO and RAG metadata: RAKE (rapid automatic keyword extraction: candidate phrases split at stopwords/punctuation, scored by word degree / frequency) or TextRank (co-occurrence graph + PageRank, adjacent top words merged into phrases). Returns ranked multi-word phrases with score, relative relevance, occurrence count and first offset. Offline, deterministic, English stopword list (add your own); 200 KB input. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/keyword-extract

Inputs: text (required), top, method, maxWords, +2 more.

kolakoskiKolakoskiA
Read-onlyIdempotent
Inspect

The nth Kolakoski term, using a 1-based index. The sequence is 1s and 2s, and it starts 1, 2, 2, 1, 1. Term 7 is 1. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kolakoski

Inputs: n (required).

kolakoski_checkKolakoski CheckA
Read-onlyIdempotent
Inspect

Whether a string of the digits 1 and 2 is a prefix of the Kolakoski sequence. 122112 is a prefix. An empty string, or any other character, is rejected. The string stops at 512 characters. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kolakoski-check

Inputs: bits (required).

kolakoski_prefixKolakoski PrefixA
Read-onlyIdempotent
Inspect

The first n Kolakoski terms as a string of the digits 1 and 2. The first 10 terms are 1221121221. n runs from 1 to 4096. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kolakoski-prefix

Inputs: n (required).

kolakoski_runKolakoski RunA
Read-onlyIdempotent
Inspect

The Kolakoski run that contains the 1-based index n. A run has length 1 or 2. Index 1 is a single 1. Index 2 starts two 2s. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kolakoski-run

Inputs: n (required).

kolakoski_sumKolakoski SumA
Read-onlyIdempotent
Inspect

The sum of the first n Kolakoski terms. The sum of the first 10 terms is 15. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kolakoski-sum

Inputs: n (required).

kroneckerKroneckerA
Read-onlyIdempotent
Inspect

The Kronecker symbol (a/n) for any integers a and n. (2/7) is 1, (3/7) is -1, (2/4) is 0, and (1/0) is 1. Both a and n run from -1000000000000 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kronecker

Inputs: a (required), n (required).

kummerKummerB
Read-onlyIdempotent
Inspect

The number of carries when a and b are added in prime base p. By Kummer, that is the exponent of p in C(a+b, a). Adding 5 and 3 in base 2 makes 3 carries. A composite base is rejected. a and b run from 0 to 1000000000000, and p runs from 2 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kummer

Inputs: a (required), b (required), p (required).

kurepaKurepaA
Read-onlyIdempotent
Inspect

The Kurepa function K(n), the sum of k! for k from 0 through n-1. K(1) is 1, K(2) is 2, and K(5) is 34. This is the left factorial, not the subfactorial. n runs from 1 to 200. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kurepa

Inputs: n (required).

kurepa_modKurepa ModA
Read-onlyIdempotent
Inspect

K(n) mod m for the Kurepa function, the sum of k! from 0 through n-1. The modulus is a positive decimal integer, and zero is rejected. n runs from 1 to 200. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kurepa-mod

Inputs: n (required), mod (required).

kyneaKyneaA
Read-onlyIdempotent
Inspect

The nth Kynea number, (2^n + 1)^2 - 2. n=1 gives 7, n=2 gives 23, and n=3 gives 79. n runs from 1 to 128. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/kynea

Inputs: n (required).

laguerreLaguerreA
Read-onlyIdempotent
Inspect

The Laguerre polynomial L(n, x) at an integer x, as a reduced fraction. L(n, 0) is 1, L(1, 1) is 0, and L(2, 1) is -1/2. n runs from 0 to 32 and x from -1000 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/laguerre

Inputs: n (required), x (required).

lahLahA
Read-onlyIdempotent
Inspect

The unsigned Lah number L(n, k). L(0, 0) is 1, L(n, 0) is 0 for n > 0, and L(n, 1) is n!. L(5, 2) is 240, and L(6, 3) is 1200. n and k run from 0 to 20, and k must not pass n. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lah

Inputs: k (required), n (required).

lah_rowLah RowA
Read-onlyIdempotent
Inspect

Row n of the unsigned Lah numbers, from L(n, 0) through L(n, n), written as comma-separated integers. Row 5 is 0,120,240,120,20,1. n runs from 0 to 12. Past 15 digits a term inside the row is still written in decimal. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lah-row

Inputs: n (required).

landauLandauA
Read-onlyIdempotent
Inspect

Landau's function g(n), the largest least common multiple of the parts of a partition of n. g(0) is 1, g(5) is 6, g(7) is 12, and g(10) is 30. n runs from 0 to 25. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/landau

Inputs: n (required).

landau_indexLandau IndexA
Read-onlyIdempotent
Inspect

The smallest n with Landau value g(n) equal to value. 1 is index 0, and 6 is index 5. A number that is not a value, or a leading zero, is rejected. value is a decimal integer of at most 12 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/landau-index

Inputs: value (required).

landau_modLandau ModA
Read-onlyIdempotent
Inspect

g(n) mod m for Landau's function. g(12) mod 7 is 4, and g(25) mod 97 is 96. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 25. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/landau-mod

Inputs: n (required), mod (required).

landau_sumLandau SumA
Read-onlyIdempotent
Inspect

The sum of Landau's function from lo through hi. The sum from g(0) through g(10) is 100. lo must not pass hi. Each index runs from 0 to 25. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/landau-sum

Inputs: hi (required), lo (required).

largest_prime_factorLargest Prime FactorA
Read-onlyIdempotent
Inspect

The largest prime factor of n. It is 1 for 1, 3 for 12, 5 for 30, and 7 for 35. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/largest-prime-factor

Inputs: n (required).

lazy_catererLazy CatererA
Read-onlyIdempotent
Inspect

The lazy caterer number, the most pieces of a pancake cut by n straight cuts: n*(n+1)/2 + 1. Zero cuts give 1, three give 7, and five give 16. n runs from 0 to 10000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lazy-caterer

Inputs: n (required).

least_primitive_rootLeast Primitive RootA
Read-onlyIdempotent
Inspect

The least primitive root modulo the prime p. It is 1 for 2, 3 for 7, 5 for 23, and 6 for 41. p must be prime and runs from 2 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/least-primitive-root

Inputs: p (required).

led_resistorLed ResistorA
Read-onlyIdempotent
Inspect

Series resistor for LEDs on one supply. Resistance is (supply − series × forward) / current, with volts and amperes. The part chosen is the next IEC 60063 E24 value at or above that resistance, so the LED current does not go over the request. The forward drop of the string must be under the supply. Exact rationals. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/led-resistor

Inputs: supply (required), current (required), forward (required), series.

legendre_polLegendre PolA
Read-onlyIdempotent
Inspect

The Legendre polynomial P(n, x) at an integer x, as a reduced fraction. P(n, 1) is 1, and P(2, 2) is 11/2. n runs from 0 to 32 and x from -1000 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/legendre-pol

Inputs: n (required), x (required).

legendre_symbolLegendre SymbolA
Read-onlyIdempotent
Inspect

The Legendre symbol (a/p) for an odd prime p. (2/7) is 1, (3/7) is -1, and (-1/5) is 1. p must be an odd prime. a runs from -1000000000000 to 1000000000000, and p runs from 0 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/legendre-symbol

Inputs: a (required), p (required).

lei_validateLei ValidateA
Read-onlyIdempotent
Inspect

LEI check digits, ISO 17442 with ISO 7064 mod 97-10. Twenty letters or digits, and the whole number is 1 mod 97. Spaces and hyphens are ignored. This does not look the entity up at GLEIF. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/lei-validate

Inputs: value (required).

leonardoLeonardoA
Read-onlyIdempotent
Inspect

The nth Leonardo number. L(0) and L(1) are 1, and L(n) = L(n-1) + L(n-2) + 1. L(4) is 9, and L(10) is 177. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/leonardo

Inputs: n (required), mod.

leonardo_fibLeonardo FibA
Read-onlyIdempotent
Inspect

The Leonardo identity L(n) = 2*F(n+1) - 1. F is the Fibonacci sequence with F(0) = 0 and F(1) = 1. For n = 10, L is 177 and F(11) is 89, so the difference is 0. n runs from 0 to 4096. Past 15 digits a term is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/leonardo-fib

Inputs: n (required).

leonardo_indexLeonardo IndexA
Read-onlyIdempotent
Inspect

The smallest index n with L(n) equal to value. 1 is index 0, and 9 is index 4. A number that is not a Leonardo number, or a leading zero, is rejected. value is a decimal integer of at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/leonardo-index

Inputs: value (required).

leonardo_modLeonardo ModA
Read-onlyIdempotent
Inspect

L(n) mod m for the Leonardo sequence. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 4096. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/leonardo-mod

Inputs: n (required), mod (required).

leonardo_sumLeonardo SumA
Read-onlyIdempotent
Inspect

The sum of Leonardo numbers from lo through hi inclusive. The sum from L(0) through L(5) is 34. lo must not pass hi. Each index runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/leonardo-sum

Inputs: hi (required), lo (required).

levyLevyA
Read-onlyIdempotent
Inspect

Levy writes an odd n as p+2q with p and q prime, choosing the smallest p. 7 is 3+22, 27 is 5+211, and 21 is 7+2*7. n is odd, from 7 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/levy

Inputs: n (required).

leylandLeylandA
Read-onlyIdempotent
Inspect

The Leyland number x^y + y^x. 2 and 2 give 8, 2 and 3 give 17, and 3 and 3 give 54. x and y each run from 2 to 20. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/leyland

Inputs: x (required), y (required).

license_detectLicense DetectA
Read-onlyIdempotent
Inspect

Identify a software / content licence from a LICENSE file, source header or SPDX expression and explain what it allows: 40 licences incl. MIT, Apache-2.0, BSD-2/3/4, ISC, 0BSD, GPL/LGPL/AGPL v2/v3, MPL-2.0, EPL, EUPL, Unlicense, CC0, Creative Commons BY/SA/NC/ND, and source-available BUSL / SSPL / Elastic / PolyForm / Commons Clause. Returns SPDX id, confidence, category (permissive, weak / strong / network copyleft, non-commercial, source-available), OSI approval, permissions / conditions / limitations, "or later" detection, SPDX-License-Identifier tags and copyright holders. Offline; not legal advice. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/license-detect

Inputs: spdx, text.

liouvilleLiouvilleA
Read-onlyIdempotent
Inspect

Liouville's function lambda(n) = (-1) to the number of prime factors of n, counted with multiplicity. lambda(1) is 1, lambda(2) is -1, and lambda(4) is 1. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/liouville

Inputs: n (required).

liouville_sumLiouville SumA
Read-onlyIdempotent
Inspect

The sum of Liouville's lambda(k) from 1 through n. The sum through 10 is 0, and the sum through 30 is -4. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/liouville-sum

Inputs: n (required).

liquidation_priceLiquidation PriceA
Read-onlyIdempotent
Inspect

Liquidation calculator. mode=perp: isolated-margin long/short liquidation and bankruptcy price from entry price, leverage and maintenance margin rate (optionally size and fees), with distance to liquidation. mode=lending: health factor, liquidation price of the collateral and safe borrow headroom for Aave/Compound/Kamino/Morpho-style loans from collateral, debt and liquidation threshold. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/liquidation-price

Inputs: debt, mode, side, size, +8 more.

little_omegaLittle OmegaA
Read-onlyIdempotent
Inspect

The number of distinct prime factors of n. omega(1) is 0, omega(4) is 1, and omega(30) is 3. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/little-omega

Inputs: n (required).

llms_txtLlms TxtA
Read-onlyIdempotent
Inspect

Read a site's llms.txt (the llmstxt.org convention that tells AI agents where the useful docs are), SSRF-safe: title, summary, details and every section's links (title, absolute URL, notes; "Optional" section flagged), whether llms-full.txt exists, size / token estimate and format issues. Accepts a domain or a direct URL to an llms.txt file. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/llms-txt

Inputs: url (required), maxLinks, checkFull.

loan_amortizationLoan AmortizationA
Read-onlyIdempotent
Inspect

Loan / mortgage amortization: periodic payment, total interest, payoff date and a yearly or full payment schedule (principal, interest, balance) for any rate, term and payment frequency (monthly, bi-weekly, weekly, quarterly, annual). Extra payments per period show months and interest saved. Fixed-rate, level-payment loans. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/loan-amortization

Inputs: principal (required), annualRatePct (required), schedule, startDate, +4 more.

loan_aprLoan AprA
Read-onlyIdempotent
Inspect

True cost of a loan including fees: the US Truth in Lending APR (Regulation Z actuarial method) and the EU APRC (Consumer Credit Directive annual effective rate), plus the payment, amount financed, finance charge and total of payments for a level-payment loan. Handles origination fees and points paid upfront or rolled into the loan, a balloon payment, and weekly to annual payments. Compares the note rate with the real borrowing rate so offers can be ranked. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/loan-apr

Inputs: amount (required), ratePct (required), termMonths (required), fees, +5 more.

look_sayLook SayA
Read-onlyIdempotent
Inspect

The nth look-and-say term, starting from 1. Term 1 is 1, term 4 is 1211, and term 5 is 111221. Each run of k copies of a digit d becomes the digits of k followed by d. n runs from 1 to 25. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/look-say

Inputs: n (required).

look_say_countLook Say CountA
Read-onlyIdempotent
Inspect

How many times a digit occurs in the nth look-and-say term. Term 5 is 111221, so it has four 1s and two 2s. A digit from 4 through 9 occurs zero times in the classic sequence. n runs from 1 to 25, and the digit runs from 0 to 9. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/look-say-count

Inputs: n (required), digit (required).

look_say_digitLook Say DigitA
Read-onlyIdempotent
Inspect

One digit of the nth look-and-say term. The index starts at 0. Term 5 is 111221, so index 3 is 2. An index past the end is rejected. n runs from 1 to 25. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/look-say-digit

Inputs: i (required), n (required).

look_say_lenLook Say LenA
Read-onlyIdempotent
Inspect

The number of digits in the nth look-and-say term, starting from 1. Term 1 has length 1, term 5 has length 6, and term 8 has length 10. n runs from 1 to 25. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/look-say-len

Inputs: n (required).

look_say_stepLook Say StepA
Read-onlyIdempotent
Inspect

One look-and-say step on a digit string. 1 becomes 11, and 1211 becomes 111221. Two 2s become 22. An empty string, or a character that is not a digit, is rejected. The string stops at 4096 characters. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/look-say-step

Inputs: digits (required).

lucasLucasA
Read-onlyIdempotent
Inspect

The nth Lucas number. L0 is 2, L1 is 1, and each later term is the sum of the previous two. L5 is 11 and L10 is 123. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucas

Inputs: n (required), mod.

lucas_discLucas DiscA
Read-onlyIdempotent
Inspect

The Lucas discriminant L(n)^2 - 5F(n)^2, which equals 4(-1)^n. F is the Fibonacci sequence with F0 = 0 and F1 = 1. For n = 5 the value is -4. n runs from 0 to 4096. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucas-disc

Inputs: n (required).

lucas_indexLucas IndexA
Read-onlyIdempotent
Inspect

The smallest index n with L(n) equal to value. 2 is index 0, and 1 is index 1. A number that is not a Lucas number, or a leading zero, is rejected. value is a decimal integer of at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucas-index

Inputs: value (required).

lucas_modLucas ModA
Read-onlyIdempotent
Inspect

L(n) mod m. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 4096. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucas-mod

Inputs: n (required), mod (required).

lucas_sumLucas SumA
Read-onlyIdempotent
Inspect

The sum of Lucas numbers from lo through hi inclusive. The sum from L0 through L5 is 28. The sum equals L(hi+2) - L(lo+1). lo must not pass hi. Each index runs from 0 to 4096. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucas-sum

Inputs: hi (required), lo (required).

luckyLuckyA
Read-onlyIdempotent
Inspect

Whether n is a lucky number. The list begins 1, 3, 7, 9, 13, 15, 21. 5 and every even number are not lucky. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucky

Inputs: n (required).

lucky_countLucky CountA
Read-onlyIdempotent
Inspect

How many lucky numbers are from 1 through n. There is 1 through 1, 2 through 3, and 13 through 50. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucky-count

Inputs: n (required).

lucky_nextLucky NextA
Read-onlyIdempotent
Inspect

The least lucky number greater than or equal to n. 2 gives 3, 20 gives 21, and 49 gives 49. n runs from 1 to 99987, the last lucky number through 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucky-next

Inputs: n (required).

lucky_nthLucky NthA
Read-onlyIdempotent
Inspect

The kth lucky number. The 1st is 1, the 10th is 33, and the 20th is 79. k runs from 1 to 8772, which is the count of lucky numbers through 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucky-nth

Inputs: k (required).

lucky_twinLucky TwinA
Read-onlyIdempotent
Inspect

Whether n and n+2 are both lucky. 1, 7, and 13 start a lucky pair. 3 does not, because 5 is not lucky. n runs from 1 to 99985. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lucky-twin

Inputs: n (required).

lychrelLychrelA
Read-onlyIdempotent
Inspect

Whether 50 reverse-and-add steps fail to reach a palindrome. 196 and 295 do. 89, 121, and 10 do not. n runs from 0 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lychrel

Inputs: n (required).

lynch_bellLynch BellA
Read-onlyIdempotent
Inspect

Whether every digit of n is nonzero, the digits are all different, and each digit divides n. 12, 15, 24, 124, and 135 do. 10, 11, and 13 do not. n runs from 1 to 1000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/lynch-bell

Inputs: n (required).

mac_addressMac AddressA
Read-onlyIdempotent
Inspect

Normalize a MAC-48 or EUI-64. Accepts colon, hyphen, Cisco dotted (groups of four) or plain hex, any case. Returns lowercase colon, hyphen, dotted and compact forms. multicast is the I/G bit, the low bit of the first octet. local is the U/L bit, the next bit. oui is the first three octets as hex, not a vendor name. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/mac-address

Inputs: value (required).

mac_localMac LocalA
Read-onlyIdempotent
Inspect

A stable locally administered unicast MAC from a seed. SHA-256 of the seed, first six bytes, multicast bit cleared and the U/L bit set. The same seed always returns the same MAC. This is not a random draw and not a real assignment. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/mac-local

Inputs: seed (required).

macro_indicatorsMacro IndicatorsA
Read-onlyIdempotent
Inspect

Macro indicators by country and year: GDP, real GDP growth, GDP per capita, inflation, unemployment, population, government debt and current account, side by side from the World Bank (WDI actuals) and the IMF World Economic Outlook (DataMapper, incl. projections). Up to 10 countries (ISO2/ISO3) and 8 indicators per call. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/macro-indicators

Inputs: country (required), to, from, source, +1 more.

markdown_tableMarkdown TableA
Read-onlyIdempotent
Inspect

Build or parse Markdown (GitHub-flavoured) tables. Build: from an array of objects, an array of arrays or CSV, with column selection / order / renaming, alignment (numeric columns right-aligned automatically), pipe / newline escaping, cell truncation and padding that respects wide CJK / emoji characters; also returns an HTML table. Parse: extract every table from Markdown into headers, alignment and typed rows (JSON). Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/markdown-table

Inputs: data, align, pretty, columns, +4 more.

markdown_to_htmlMarkdown To HtmlA
Read-onlyIdempotent
Inspect

Render Markdown to safe HTML: CommonMark-style blocks (ATX / setext headings, paragraphs, block quotes, nested ordered / bullet lists, fenced and indented code with language classes, thematic breaks) and inlines (emphasis, strong, code spans, links, images, reference links, autolinks, hard breaks, escapes, entities) plus GitHub extensions (tables with alignment, task lists, strikethrough, bare URL autolinks). Raw HTML is escaped by default or allowlist-sanitized; javascript: and other unsafe URLs are dropped. Returns HTML, heading ids and a table of contents. Offline, deterministic. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/markdown-to-html

Inputs: markdown (required), breaks, allowHtml, headingIds, +1 more.

markup_marginMarkup MarginA
Read-onlyIdempotent
Inspect

Price, margin and markup in exact cents. Analyze a cost and a price (margin is profit / price, markup is profit / cost). Or set a price from a cost and a margin percent (price = cost / (1 − margin)), or from a markup percent (price = cost × (1 + markup)). Or walk a list of successive discounts off a price, rounding each step half away from zero to the cent. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/markup-margin

Inputs: cost, mode, price, discounts, +2 more.

math_evalMath EvalA
Read-onlyIdempotent
Inspect

Evaluate math expressions safely and exactly — the calculator agents should call instead of doing arithmetic in their heads. Exact rational arithmetic by default (0.1 + 0.2 = 3/10, 1/3 + 1/6 = 1/2, 2^200 and 1000! in full), with repeating-decimal notation, plus floating point for transcendental functions: sqrt, cbrt, root, exp, ln, log (base 10, or log(x, b)), log2, trig and hyperbolic functions (radians or degrees), gamma, erf, factorial, nCr / nPr, gcd / lcm, mod, min / max / sum / mean / median, round(x, digits), comparisons. Implicit multiplication (2pi, 3(x+1)), variables, and multi-statement scripts ("r = 2; pi r^2"). No code execution. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/math-eval

Inputs: expr (required), mode, vars, angle, +1 more.

matrix_opsMatrix OpsA
Read-onlyIdempotent
Inspect

Linear algebra on matrices, exactly where it matters. Determinant, inverse, RREF, rank, null space, linear solve (Ax = b), multiply, add / subtract, integer powers, trace and LU are computed with exact rational arithmetic (entries may be integers, decimals or "p/q" strings — 0.1 stays 1/10), returned as exact values plus decimals. Floating-point eigenvalues (Jacobi for symmetric matrices with eigenvectors; Hessenberg + shifted QR for general matrices including complex eigenvalues, with eigenvectors for real eigenvalues), singular values (one-sided Jacobi SVD), QR, norms and condition number. op=analyze returns determinant, rank, trace, inverse, symmetry and eigenvalues in one call. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/matrix-ops

Inputs: a (required), b, op, norm, +1 more.

mcnuggetMcnuggetA
Read-onlyIdempotent
Inspect

Whether n nuggets can be ordered in boxes of 6, 9, and 20. 0, 6, and 44 can. 1, 11, and 43 cannot. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mcnugget

Inputs: n (required).

mcnugget_countMcnugget CountA
Read-onlyIdempotent
Inspect

How many integers from 0 through n can be ordered in boxes of 6, 9, and 20. Through 0 there is 1, through 6 there are 2, through 43 there are 22, and through 100 there are 79. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mcnugget-count

Inputs: n (required).

mcnugget_minMcnugget MinA
Read-onlyIdempotent
Inspect

The fewest boxes of 6, 9, and 20 that add to n. 0 takes 0, 6 takes 1, 12 takes 2, and 44 takes 4. An amount that cannot be ordered is rejected. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mcnugget-min

Inputs: n (required).

mcnugget_missMcnugget MissA
Read-onlyIdempotent
Inspect

How many positive integers through n cannot be ordered in boxes of 6, 9, and 20. Through 1 there is 1, through 6 there are 5, and from 43 onward there are 22. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mcnugget-miss

Inputs: n (required).

mcnugget_waysMcnugget WaysA
Read-onlyIdempotent
Inspect

How many combinations of 6, 9, and 20 boxes add to n. 0 has 1 empty order, 6 has 1, 18 has 2, 43 has 0, and 44 has 2. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mcnugget-ways

Inputs: n (required).

mediantMediantA
Read-onlyIdempotent
Inspect

The mediant of a/b and c/d, which is (a+c)/(b+d) reduced by their gcd. Numerators may be zero. A non-positive denominator is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mediant

Inputs: a (required), b (required), c (required), d (required).

meeting_plannerMeeting PlannerA
Read-onlyIdempotent
Inspect

Find the best meeting times across time zones: give 2-20 IANA zones (optionally with per-person hours like Asia/Tokyo@08:00-18:00) and a date; returns the windows where everyone is inside working hours, the top-ranked slots (everyone in hours first, then fewest people outside, then least early / late), each with every participant's local time and weekday, plus UTC offsets. DST-correct, weekends flagged. Offline. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/meeting-planner

Inputs: zones (required), top, date, step, +4 more.

meid_validateMeid ValidateA
Read-onlyIdempotent
Inspect

MEID, the CDMA equipment id. Hex is 14 digits with an optional Luhn check in base 16. Decimal is 18 digits (manufacturer and serial) with an optional decimal Luhn check, and it converts to the hex form. A 14-digit hex number that is only decimal digits is an IMEI, not a MEID. Spaces and hyphens are ignored. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/meid-validate

Inputs: value (required).

mersenneMersenneA
Read-onlyIdempotent
Inspect

The Mersenne number 2^n - 1. Exponent 1 gives 1, 2 gives 3, and 31 gives 2147483647. n runs from 1 to 128. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mersenne

Inputs: n (required).

mersenne_primeMersenne PrimeA
Read-onlyIdempotent
Inspect

Whether 2^n - 1 is prime. Exponents 2, 3, 5, 7, 13, 17, 19, and 31 are, inside this cap. Exponent 11 is not, because 2047 = 23*89. n runs from 2 to 31. This checks the given exponent. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mersenne-prime

Inputs: n (required).

mertensMertensA
Read-onlyIdempotent
Inspect

The Mertens function M(n), the sum of the Mobius function mu(k) from 1 through n. M(1) is 1, M(10) is -1, and M(100) is 1. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mertens

Inputs: n (required).

mertens_maxMertens MaxA
Read-onlyIdempotent
Inspect

The largest absolute value of the Mertens function M(k) for k from 1 through n, and the smallest k where it occurs. Through 10 the maximum is 2 at k = 5. Through 100 it is 4 at k = 31. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mertens-max

Inputs: n (required).

mexMexA
Read-onlyIdempotent
Inspect

The mex of a list: the smallest missing nonnegative integer. The mex of 0, 1, 3 is 2. The mex of 1, 2, 3 is 0. The mex of an empty list is 0. The list has at most 64 integers, each from 0 to 1000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mex

Inputs: values (required).

midi_noteMidi NoteB
Read-onlyIdempotent
Inspect

A written note or a MIDI number. Middle C is C4, which is 60. C-1 is 0 and G9 is 127. The name you pass keeps its spelling, so B#3 stays B#3 even though it is the same key as C4. sharp and flat are the two usual names of that key. x is a double sharp. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/midi-note

Inputs: note (required).

mobiusMobiusA
Read-onlyIdempotent
Inspect

The Mobius function mu(n). It is 0 when n has a squared prime factor, and otherwise (-1)^k for k distinct primes. mu(1) is 1. n = 0 is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mobius

Inputs: n (required).

mode_diffMode DiffB
Read-onlyIdempotent
Inspect

Bits that differ between two POSIX modes. added and removed run from the special bits down through owner, group and other. same is true when nothing differs. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/mode-diff

Inputs: to (required), from (required).

mod_invMod InvA
Read-onlyIdempotent
Inspect

The modular inverse of a modulo m, as a residue from 0 up to m-1. The modulus must be at least 1. A value that is not coprime to m is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mod-inv

Inputs: a (required), mod (required).

mod_inverseMod InverseA
Read-onlyIdempotent
Inspect

The inverse of a modulo m, the residue from 0 to m-1 with a*inverse = 1 mod m. The inverse of 3 mod 7 is 5, and the inverse of -1 mod 7 is 6. There is no inverse when a and m share a factor. m runs from 2 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mod-inverse

Inputs: a (required), m (required).

mod_powMod PowA
Read-onlyIdempotent
Inspect

base^exp mod m, exact, for a non-negative exponent. The modulus must be at least 1. A negative exponent is rejected. Decimals have no leading zeros and at most 200 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mod-pow

Inputs: exp (required), mod (required), base (required).

moon_phaseMoon PhaseA
Read-onlyIdempotent
Inspect

Moon phase for any moment: phase name and emoji, illuminated fraction, phase angle, age in days since new moon, waxing / waning, Earth-Moon distance and apparent size, the next new moon / first quarter / full moon / last quarter (to a few minutes), and moonrise / moonset for a location and local date (topocentric, parallax and refraction aware). Meeus lunar theory, offline. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/moon-phase

Inputs: at, tz, lat, lon.

moranMoranA
Read-onlyIdempotent
Inspect

Whether n divided by its digit sum is a prime. 18, 21, and 27 are. 1, 10, 12, and 24 are not. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moran

Inputs: n (required).

moran_countMoran CountA
Read-onlyIdempotent
Inspect

How many Moran numbers are at most n. Through 1 there are none, through 18 there is 1, through 21 there are 2, through 30 there are 3, and through 100 there are 7. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moran-count

Inputs: n (required).

moran_nextMoran NextA
Read-onlyIdempotent
Inspect

The smallest Moran number that is at least n. 1 and 18 give 18, 19 gives 21, 22 gives 27, and 100 gives 111. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moran-next

Inputs: n (required).

moran_ratioMoran RatioA
Read-onlyIdempotent
Inspect

n divided by its digit sum, when that division is exact. 18 gives 2, 21 gives 7, 12 gives 4, and 1 gives 1. A digit sum that does not divide n is rejected. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moran-ratio

Inputs: n (required).

moran_sumMoran SumA
Read-onlyIdempotent
Inspect

The sum of the Moran numbers that are at most n. Through 1 it is 0, through 18 it is 18, through 21 it is 39, through 30 it is 66, and through 100 it is 300. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moran-sum

Inputs: n (required).

morse_decodeMorse DecodeA
Read-onlyIdempotent
Inspect

Decode international Morse. Letters are separated by one space and words by " / ". The result is capitals. ... --- ... is SOS. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/morse-decode

Inputs: code (required).

morse_encodeMorse EncodeA
Read-onlyIdempotent
Inspect

Encode text as international Morse (ITU-R M.1677). Letters are separated by one space and words by " / ". SOS is ... --- ... Digits and the recommendation punctuation are included. Other characters are rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/morse-encode

Inputs: text (required).

morse_runMorse RunB
Read-onlyIdempotent
Inspect

The Thue-Morse run that contains n. The bit is the parity of the 1-bits of n. A run has length 1 or 2. Index 0 is a run of one 0, and index 1 starts a run of two 1s. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/morse-run

Inputs: n (required).

morse_timingMorse TimingB
Read-onlyIdempotent
Inspect

How long a Morse message takes at a given speed. The dit is 1200/wpm milliseconds. PARIS is 43 units, or 50 units once the trailing 7-unit word gap of a stream is added. SOS is 27 units. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/morse-timing

Inputs: text (required), wpm.

mortgage_affordabilityMortgage AffordabilityA
Read-onlyIdempotent
Inspect

How much house can I afford: maximum home price and loan from income, monthly debts, down payment and rate under front-end / back-end debt-to-income limits (default 28/36), with a full monthly PITI breakdown (principal & interest, property tax, insurance, HOA, PMI below 20% down). Give homePrice instead to get the monthly cost and the income needed. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/mortgage-affordability

Inputs: ratePct (required), pmiPct, homePrice, termYears, +8 more.

moserMoserA
Read-onlyIdempotent
Inspect

The nth Moser-de Bruijn number, binary digits of n read in base 4. n=0 gives 0, n=3 gives 5, n=5 gives 17, n=6 gives 20, and n=8 gives 64. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moser

Inputs: n (required).

moser_checkMoser CheckA
Read-onlyIdempotent
Inspect

Whether every base-4 digit of n is 0 or 1. 0, 1, 4, 5, and 20 qualify. 2 and 6 do not. n runs from 0 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moser-check

Inputs: n (required).

moser_countMoser CountA
Read-onlyIdempotent
Inspect

How many Moser-de Bruijn numbers are at most n, counting 0. Through 0 there is 1, through 1 there are 2, through 5 there are 4, through 16 there are 5, and through 64 there are 9. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moser-count

Inputs: n (required).

moser_indexMoser IndexA
Read-onlyIdempotent
Inspect

The index whose Moser-de Bruijn number is n. 0 is index 0, 5 is index 3, 20 is index 6, and 64 is index 8. A base-4 digit above 1 is rejected. n runs from 0 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moser-index

Inputs: n (required).

moser_sumMoser SumA
Read-onlyIdempotent
Inspect

The sum of the Moser-de Bruijn numbers a(0) through a(n). Through 0 it is 0, through 3 it is 10, through 5 it is 43, and through 7 it is 84. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/moser-sum

Inputs: n (required).

motzkinMotzkinA
Read-onlyIdempotent
Inspect

The nth Motzkin number. M0 and M1 are 1, M2 is 2, M4 is 9, from M_n = sum binom(n, 2k) C_k. n runs from 0 to 512. An optional modulus reduces the term; zero is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/motzkin

Inputs: n (required), mod.

multichooseMultichooseA
Read-onlyIdempotent
Inspect

The number of ways to choose k elements from n types with repetition, which is C(n+k-1, k). Choosing 2 from 3 types can be done in 6 ways. Choosing nothing can be done in 1 way. n and k run from 0 to 1024. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/multichoose

Inputs: k (required), n (required).

multiperfectMultiperfectA
Read-onlyIdempotent
Inspect

Whether sigma(n) is a multiple of n, with multiplicity k at least 2. 6 and 28 give k=2. 120 and 672 give k=3. 1 and 12 do not. k is 0 when n is not multiperfect. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/multiperfect

Inputs: n (required).

multiplicative_persistenceMultiplicative PersistenceA
Read-onlyIdempotent
Inspect

Multiplicative persistence: how many times the decimal digits of n must be multiplied to reach a single digit, and that digit. 39 takes 3 steps and ends at 4. 10 ends at 0 in 1 step. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/multiplicative-persistence

Inputs: n (required).

mult_orderMult OrderA
Read-onlyIdempotent
Inspect

The multiplicative order of a modulo n: the least positive k with a^k = 1 mod n. The order of 2 mod 7 is 3, and the order of 3 mod 7 is 6. a must be coprime to n. n runs from 2 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/mult-order

Inputs: a (required), n (required).

munchausenMunchausenA
Read-onlyIdempotent
Inspect

Whether n equals the sum of its digits each raised to itself, taking 0^0 as 1. 1 and 3435 do. 0, 2, and 438579088 do not. n runs from 0 to 9999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/munchausen

Inputs: n (required).

munchausen_sumMunchausen SumA
Read-onlyIdempotent
Inspect

The sum of the digits of n each raised to itself, taking 0^0 as 1. 0 gives 1, 1 gives 1, 2 gives 4, 10 gives 2, 3435 gives 3435, and 438579088 gives 438579089. n runs from 0 to 9999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/munchausen-sum

Inputs: n (required).

music_chordMusic ChordA
Read-onlyIdempotent
Inspect

Spell a chord up from a root: major, minor, diminished, augmented, sus2, sus4, dom7, maj7, min7, dim7, half-dim7, and sixth. Letters stay in thirds except the suspensions and the sixth. A diminished seventh uses a double flat when the spelling needs it. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/music-chord

Inputs: note (required), quality (required).

music_intervalMusic IntervalA
Read-onlyIdempotent
Inspect

The interval between two written notes. The number comes from the letters and the quality from the semitones, so C to E is a major third and C to Fb is a diminished fourth. Direction follows the written notes. Semitones is negative when the second note is lower. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/music-interval

Inputs: to (required), from (required).

music_scaleMusic ScaleA
Read-onlyIdempotent
Inspect

Spell a scale on letters from a tonic. Major, minor, harmonic minor, melodic minor (the ascending form), the church modes, pentatonic, minor pentatonic, and blues. G# major is written with E# and F##, not with flats. signature lists the accidentals in scale order. The octave does not repeat the tonic. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/music-scale

Inputs: mode (required), note (required).

music_transposeMusic TransposeB
Read-onlyIdempotent
Inspect

Move a written note by a named interval. The letter moves with the interval number, then the accidental is chosen to hit the semitones. A perfect third is rejected, and so is a quality that would need more than a double accidental. Up and down are the two directions. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/music-transpose

Inputs: dir (required), note (required), number (required), quality (required).

mx_checkMx CheckA
Read-onlyIdempotent
Inspect

MX / mail-routing check: sorted MX with inferred provider (Google, M365, Proofpoint, etc.), A/AAAA, SPF presence, null-MX detection. Complements /v1/email-auth. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/mx-check

Inputs: domain (required).

narayanaNarayanaA
Read-onlyIdempotent
Inspect

The Narayana number N(n,k). N(5,3) is 20. A k outside 1..n yields 0. n runs from 1 to 60 and k from 0 to 60. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/narayana

Inputs: k (required), n (required).

narayana_checkNarayana CheckB
Read-onlyIdempotent
Inspect

The Narayana product C(n,k)*C(n,k-1). It is exactly n times N(n,k). product is that binomial product and value is the Narayana number. n runs from 1 to 60. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/narayana-check

Inputs: k (required), n (required).

narayana_cowsNarayana CowsA
Read-onlyIdempotent
Inspect

Narayana's cow sequence at n, counting from 1. The first three terms are 1, and each later term is the previous term plus the term three back. a(4) is 2, a(6) is 4, a(11) is 28, and a(15) is 129. n runs from 1 to 60. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/narayana-cows

Inputs: n (required).

narayana_rowNarayana RowA
Read-onlyIdempotent
Inspect

Narayana numbers N(n,1) through N(n,n). Their sum is the Catalan number C(n). The row for n = 4 is 1, 6, 6, 1 and sums to 14. n runs from 1 to 60. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/narayana-row

Inputs: n (required).

narcissisticNarcissisticA
Read-onlyIdempotent
Inspect

Whether n equals the sum of its digits each raised to the number of digits. 153, 370, 371, and 407 do, and so does every one-digit number. 10 does not. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/narcissistic

Inputs: n (required).

negabinaryNegabinaryA
Read-onlyIdempotent
Inspect

The base -2 digits of n, without a leading zero except for 0 itself. 0 is "0", 1 is "1", 2 is "110", 4 is "100", and 6 is "11010". n runs from 0 to 999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/negabinary

Inputs: n (required).

negabinary_bitsNegabinary BitsA
Read-onlyIdempotent
Inspect

How many 1 digits the base -2 writing of n has. 0 has none, 1 has 1, 6 has 3, and 7 has 4. n runs from 0 to 999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/negabinary-bits

Inputs: n (required).

negabinary_decodeNegabinary DecodeA
Read-onlyIdempotent
Inspect

The integer written by a base -2 bit string. "0" is 0, "110" is 2, "100" is 4, and "11010" is 6. A character other than 0 or 1, or a leading zero, is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/negabinary-decode

Inputs: bits (required).

negabinary_digitNegabinary DigitA
Read-onlyIdempotent
Inspect

The base -2 digit of n in place, counting from 0 at the right. For 6, which is "11010", place 0 is 0, place 1 is 1, and place 4 is 1. A place past the end is 0. n runs from 0 to 999999999999 and place runs from 0 to 60. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/negabinary-digit

Inputs: n (required), place (required).

negabinary_lenNegabinary LenA
Read-onlyIdempotent
Inspect

How many digits the base -2 writing of n uses. 0 uses 1, 4 uses 3, and 6 uses 5. n runs from 0 to 999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/negabinary-len

Inputs: n (required).

neg_pellNeg PellA
Read-onlyIdempotent
Inspect

Whether x^2 - d*y^2 = -1 has a positive integer solution. It does exactly when the continued-fraction period of sqrt(d) is odd. d=2, 5, and 13 do. d=3, 6, and 7 do not. A square is rejected. d runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/neg-pell

Inputs: d (required).

neg_pell_countNeg Pell CountA
Read-onlyIdempotent
Inspect

How many nonsquares from 1 through n have an odd continued-fraction period, so the negative Pell equation is solvable. Through 2 there is 1, through 10 there are 3, and through 13 there are 4. n runs from 1 to 500. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/neg-pell-count

Inputs: n (required).

next_primeNext PrimeA
Read-onlyIdempotent
Inspect

The least prime greater than or equal to n. 0, 1, and 2 all give 2. 14 gives 17. 10000000 gives 10000019. n runs from 0 to 10000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/next-prime

Inputs: n (required).

nft_metadataNft MetadataA
Read-onlyIdempotent
Inspect

ERC-721 / ERC-1155 token metadata: tokenURI/uri (ipfs/arweave/data/https), ownerOf, collection name/symbol/supply, EIP-2981 royalty. Metadata JSON is fetched SSRF-safe via target_fetch (public-IP pinned). Returns name, description, image (+ http gateway URL), attributes. Read-only. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/nft-metadata

Inputs: tokenId (required), contract (required).

nim_sumNim SumA
Read-onlyIdempotent
Inspect

The nim-sum of a and b, their bitwise exclusive or. 13 xor 7 is 10, and 255 xor 256 is 511. Both run from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/nim-sum

Inputs: a (required), b (required).

npv_irrNpv IrrA
Read-onlyIdempotent
Inspect

Investment appraisal for a cash-flow series: NPV at a discount rate, IRR (all roots for non-conventional flows), MIRR, profitability index, simple and discounted payback; with dates gives Excel-compatible XNPV and XIRR. POST JSON body {cashFlows, ratePct, dates?}. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/npv-irr

Inputs: cashFlows (required), dates, ratePct, financeRatePct, +1 more.

number_to_wordsNumber To WordsA
Read-onlyIdempotent
Inspect

Spell out numbers in words — cardinal, ordinal, currency amounts, cheque wording, years and Roman numerals — in English, Spanish, French, German, Italian, Portuguese (PT) and Brazilian Portuguese, with each language's real grammar (French "quatre-vingts" / "et un", Spanish "veintiún mil" / "un millón", German compounds, Italian elision, long and short scales). Integers up to 36 digits, decimals ("twelve point five"), negatives. Also converts Roman numerals back to numbers. For invoices, cheques, contracts, accessibility and voice output. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/number-to-words

Inputs: number (required), lang, mode, style, +2 more.

oauth_pkceOauth PkceA
Read-onlyIdempotent
Inspect

OAuth 2.0 PKCE helper (RFC 7636 / OAuth 2.1): generate a code_verifier with its S256 code_challenge plus random state and OIDC nonce, verify that a verifier matches a challenge, or build a complete authorization URL (response_type=code, client_id, redirect_uri, scope, state, nonce, code_challenge, extra parameters such as prompt or audience) and return the verifier / state to keep for the token exchange. Validates verifier length and characters and redirect URIs. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/oauth-pkce

Inputs: mode, extra, scope, state, +8 more.

octahedralOctahedralA
Read-onlyIdempotent
Inspect

The nth octahedral number, n*(2n^2+1)/3. The first terms are 1, 6, 19, 44, and 85. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/octahedral

Inputs: n (required).

octahedral_indexOctahedral IndexA
Read-onlyIdempotent
Inspect

The n with O(n) equal to the input, or 0 when the input is not octahedral. 1 is place 1, 6 is place 2, 19 is place 3, and 2 is absent. The input runs from 0 to 666666666700000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/octahedral-index

Inputs: n (required).

octahedral_modOctahedral ModA
Read-onlyIdempotent
Inspect

The nth octahedral number modulo m. O(4) mod 10 is 4, O(5) mod 7 is 1, and O(6) mod 10 is 6. n runs from 1 to 100000 and m runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/octahedral-mod

Inputs: m (required), n (required).

octahedral_nextOctahedral NextA
Read-onlyIdempotent
Inspect

The smallest octahedral number that is at least n. 1 stays 1, 2 gives 6, 7 gives 19, and 45 gives 85. n runs from 0 to 666666666700000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/octahedral-next

Inputs: n (required).

octahedral_sumOctahedral SumA
Read-onlyIdempotent
Inspect

The sum of the first n octahedral numbers. Through 1 it is 1, through 3 it is 26, through 6 it is 301, and through 10 it is 2035. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/octahedral-sum

Inputs: n (required).

odd_goldbachOdd GoldbachA
Read-onlyIdempotent
Inspect

The lexicographically smallest triple of primes adding to an odd n. 7 is 2+2+3, 9 is 2+2+5, and 27 is 2+2+23. n is odd, from 7 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/odd-goldbach

Inputs: n (required).

odd_square_sumOdd Square SumA
Read-onlyIdempotent
Inspect

The sum of the first n odd squares: 1^2 + 3^2 + ... + (2n-1)^2 = n(4n^2-1)/3. One term is 1, two terms are 10, and four terms are 84. n runs from 0 to 1000000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/odd-square-sum

Inputs: n (required).

ohm_lawOhm LawA
Read-onlyIdempotent
Inspect

Ohm's law for one passive resistor. Give any two of voltage (volts), current (amperes), resistance (ohms) and power (watts). The other two come back as exact rationals. A third or fourth value is checked and rejected when it disagrees. Zero volts across a positive resistance is a dead circuit. Voltage across zero ohms, or voltage with zero current, is rejected. Power and resistance are accepted only when both square roots are rational. SI units, no prefixes. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ohm-law

Inputs: power, current, voltage, resistance.

openapi_summaryOpenapi SummaryA
Read-onlyIdempotent
Inspect

Summarise an OpenAPI 3.x or Swagger 2.0 API from a URL (SSRF-safe) or an inline JSON / YAML spec, so an agent can learn an API fast: title, version, servers / base URLs, auth schemes (API key, bearer, OAuth flows), and every operation with method, path, operationId, summary, tags, parameters (with $ref resolved), request body types, response codes and per-operation security. Filter by tag or search text. Price: $0.004 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/openapi-summary

Inputs: tag, url, spec, limit, +1 more.

openfda_drugOpenfda DrugA
Read-onlyIdempotent
Inspect

FDA drug facts by brand/generic name or NDC from openFDA: label sections (boxed warning, indications, dosage, contraindications, warnings, adverse reactions, interactions, or any SPL field), FAERS adverse-event report totals with serious count and top reported reactions, and the latest enforcement recalls with class and reason. Not for clinical use; the response carries FDA's disclaimer. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/openfda-drug

Inputs: ndc, name, limit, include, +2 more.

opengraphOpengraphA
Read-onlyIdempotent
Inspect

Extract Open Graph, Twitter Card, title/description, canonical, icons and JSON-LD @types from a public URL. Ideal for link unfurling agents. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/opengraph

Inputs: url (required).

oreOreA
Read-onlyIdempotent
Inspect

Whether n is an Ore number: n times the divisor count is divisible by sigma(n), so the harmonic mean of the divisors is an integer. 1 gives 1, 6 gives 2, and 140 gives 5. 10 does not. The mean is 0 when n is not an Ore number. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ore

Inputs: n (required).

osv_scanOsv ScanA
Read-onlyIdempotent
Inspect

Known vulnerabilities for ONE package version from OSV.dev (GitHub Advisory DB, PyPA, Go, RustSec, OSS-Fuzz, distro feeds): advisory id + CVE aliases, severity (GHSA label or computed CVSS v3 base score), CVSS vectors, CWEs, fixed versions, a heuristic minimal safe upgrade, and links. npm, PyPI, Go, crates.io, Maven, Packagist, RubyGems, NuGet, Pub, Hex, distros. Use POST for a whole dependency list or lockfile. Price: $0.02 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/osv-scan

Inputs: purl, details, package, version, +1 more.

osv_scan_batchOsv ScanA
Read-onlyIdempotent
Inspect

Dependency vulnerability scan (SCA) via OSV.dev querybatch: send up to 500 packages, or paste a lockfile (package-lock.json, yarn.lock, composer.lock, requirements.txt, Pipfile.lock, poetry.lock, uv.lock, Cargo.lock, go.mod, go.sum, Gemfile.lock; auto-detected). Returns a severity summary plus, per vulnerable package, advisories with CVE aliases, CVSS, fixed versions and a heuristic safe upgrade. 256 KB body limit. Price: $0.02 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/osv-scan

Inputs: details, lockfile, packages, lockfileType, +1 more.

overpartitionOverpartitionA
Read-onlyIdempotent
Inspect

The number of overpartitions of n. The first part may be overlined. The values begin 1, 2, 4, 8, 14, 24, so n=4 is 14 and n=10 is 232. n runs from 0 to 80. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/overpartition

Inputs: n (required).

package_riskPackage RiskA
Read-onlyIdempotent
Inspect

npm or PyPI package risk/typosquat check: registry metadata, weekly downloads (npm), deprecation, license/repo presence, edit-distance to popular packages, and whether close-name variants already exist. Heuristic — not a malware scanner. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/package-risk

Inputs: name (required), ecosystem (required).

padicPadicA
Read-onlyIdempotent
Inspect

The p-adic valuation v_p(n): how many times the prime p divides n. v_2(12) is 2, v_3(12) is 1, and v_5(12) is 0. p must be prime. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/padic

Inputs: n (required), p (required).

padovanPadovanA
Read-onlyIdempotent
Inspect

The nth Padovan number. P0, P1, and P2 are 1, and each later term is the sum of the term two back and the term three back. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 8192. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/padovan

Inputs: n (required), mod.

padovan_stepPadovan StepA
Read-onlyIdempotent
Inspect

The Padovan step identity P(n) = P(n-1) + P(n-5). left is P(n-1) and right is P(n-5). n runs from 5 to 8192. Past 15 digits a term is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/padovan-step

Inputs: n (required).

padovan_sumPadovan SumA
Read-onlyIdempotent
Inspect

The sum of Padovan numbers, or Perrin numbers, from lo through hi inclusive. seq is p or r. lo must not pass hi. Each index runs from 0 to 8192. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/padovan-sum

Inputs: hi (required), lo (required), seq.

palindromePalindromeA
Read-onlyIdempotent
Inspect

Whether n reads the same forwards and backwards. 0, 7, and 121 do. 10 and 89 do not. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/palindrome

Inputs: n (required).

palindrome_reachPalindrome ReachA
Read-onlyIdempotent
Inspect

The palindrome reached by reverse-and-add. 10 reaches 11, 19 reaches 121, and 89 reaches 8813200023188. A palindrome reaches itself. If 50 steps are not enough, the input is rejected. n runs from 0 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/palindrome-reach

Inputs: n (required).

palindrome_stepsPalindrome StepsA
Read-onlyIdempotent
Inspect

How many reverse-and-add steps turn n into a palindrome. 7 and 121 take 0, 10 takes 1, 19 takes 2, and 89 takes 24. If 50 steps are not enough, the input is rejected. n runs from 0 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/palindrome-steps

Inputs: n (required).

paper_fitPaper FitA
Read-onlyIdempotent
Inspect

How many copies of one sheet fit on another at full size. The copy may be turned. Two A4 pages fill an A3 and the waste is zero. count is 0 when it does not fit. orientation is how the copy sits, or none. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/paper-fit

Inputs: inner (required), outer (required).

paperfoldPaperfoldA
Read-onlyIdempotent
Inspect

The regular paperfolding bit of n. Write n = m * 2^k with m odd. The bit is 1 when m is 1 mod 4, and 0 when m is 3 mod 4. The first three bits, from n = 1, are 1, 1, 0. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/paperfold

Inputs: n (required).

paper_nextPaper NextA
Read-onlyIdempotent
Inspect

The next larger and smaller sheet in the same ISO series. A4 sits between A3 and A5. A0 has no larger size and A10 has no smaller one. DL is not in a series. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/paper-next

Inputs: name (required).

paper_scalePaper ScaleC
Read-onlyIdempotent
Inspect

The largest scale that places one sheet on another, turning it when that lets it be larger. The scale is an exact ratio of the millimeter sides. Below one, the sheet has to shrink. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/paper-scale

Inputs: onto (required), sheet (required).

paper_sizePaper SizeA
Read-onlyIdempotent
Inspect

ISO 216 A, B and C sizes, plus the DL envelope, in millimeters. Portrait, so the width is the shorter side. Inches are exact millimeters divided by 25.4. A4 is 210 by 297. Set landscape to swap the sides. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/paper-size

Inputs: name (required), landscape.

parkingParkingA
Read-onlyIdempotent
Inspect

Whether the preference list is a parking function. (1,1), (2,1), and (1,2,1) are. (2,2) and (1,3) are not. The list has 1 to 8 entries, each from 1 to 8. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/parking

Inputs: prefs (required).

parking_movedParking MovedA
Read-onlyIdempotent
Inspect

How many cars miss their preferred spot. (1,1) moves 1 car. (2,1) moves none. (1,2,1) moves 1. A list that is not a parking function is rejected. The list has 1 to 8 entries, each from 1 to 8. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/parking-moved

Inputs: prefs (required).

parking_shiftParking ShiftB
Read-onlyIdempotent
Inspect

The total of parked spot minus preference. (1,1) shifts by 1. (2,1) shifts by 0. (1,2,1) shifts by 2. A list that is not a parking function is rejected. The list has 1 to 8 entries, each from 1 to 8. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/parking-shift

Inputs: prefs (required).

parking_spotsParking SpotsA
Read-onlyIdempotent
Inspect

Where each car parks, comma-separated. (1,1) parks at 1,2. (2,1) parks at 2,1. (1,2,1) parks at 1,2,3. A list that is not a parking function is rejected. The list has 1 to 8 entries, each from 1 to 8. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/parking-spots

Inputs: prefs (required).

parking_witnessParking WitnessA
Read-onlyIdempotent
Inspect

The first 1-based place where the sorted preferences exceed the place, or 0 when the list is a parking function. (1,1) gives 0. (2,2) gives 1. (3,3,1) gives 2. The list has 1 to 8 entries, each from 1 to 8. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/parking-witness

Inputs: prefs (required).

partitionPartitionA
Read-onlyIdempotent
Inspect

The number of integer partitions p(n), from the pentagonal recurrence. p(0) is 1, p(5) is 7, and p(10) is 42. n runs from 0 to 2000. An optional modulus reduces the count; zero is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/partition

Inputs: n (required), mod.

partition_conjugatePartition ConjugateA
Read-onlyIdempotent
Inspect

The conjugate of an integer partition, read down the columns of its Ferrers diagram. Parts must be positive and nonincreasing. The empty partition is its own conjugate. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/partition-conjugate

Inputs: parts (required).

partition_distinctPartition DistinctA
Read-onlyIdempotent
Inspect

The number of partitions of n into distinct positive parts. This equals the number of partitions into odd parts. q(0) is 1 and q(5) is 3. n runs from 0 to 2000. An optional modulus reduces the count; zero is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/partition-distinct

Inputs: n (required), mod.

partition_partsPartition PartsA
Read-onlyIdempotent
Inspect

Check an integer partition and return its sum and length. Parts must be positive and nonincreasing. The empty list is the partition of zero. A rise or a zero part is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/partition-parts

Inputs: parts (required).

password_generatePassword GenerateA
Read-onlyIdempotent
Inspect

Generate strong secrets with a CSPRNG (never stored or logged): random passwords (length, character classes, custom symbols, exclude look-alike characters, guarantee one of each class), diceware-style passphrases from a ~9,000-word common-English list (about 13 bits per word) (separator, capitalisation, optional digit) and PINs (weak / sequential PINs rejected). Up to 50 at once, with entropy bits, strength and offline crack-time estimate. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/password-generate

Inputs: mode, count, lower, upper, +11 more.

password_hashPassword HashA
Read-onlyIdempotent
Inspect

Hash, verify and identify password hashes — for seeding users, migrating auth systems, writing htpasswd files and auditing leaked hash formats. hash: bcrypt, Argon2id / Argon2i (where the server has libargon2), PBKDF2-SHA256 / SHA512 (Django format), SHA-512 / SHA-256 crypt (Linux shadow) and Apache APR1 (htpasswd). verify: checks a password against bcrypt, Argon2, crypt ($1$ $5$ $6$, DES), APR1, Django / Werkzeug / passlib PBKDF2, phpass ($P$ $H$, WordPress), Drupal 7 ($S$), LDAP {SSHA} / {SHA} / {SSHA256} / {SSHA512} / {SMD5}, MySQL 4.1+ and unsalted MD5 / SHA / NTLM hex. identify: algorithm, parameters and a verdict against the OWASP Password Storage Cheat Sheet, with needsRehash. Passwords are never echoed or stored. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/password-hash

Inputs: cost, hash, mode, password, +5 more.

password_strengthPassword StrengthA
Read-onlyIdempotent
Inspect

Offline password strength audit (POST only, so the password never appears in a URL or access log; never echoed or stored): zxcvbn-style score 0-4, estimated guesses and entropy, crack-time estimates, weak patterns (common/breached passwords incl. l33t and reversed, keyboard walks, sequences, repeats, dates, personal info) and NIST SP 800-63B checks. Body: { "password": "...", "user_inputs"?: ["alice", "alice@example.com"] }. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/password-strength

Inputs: password (required), user_inputs.

pdiPdiA
Read-onlyIdempotent
Inspect

Whether n equals the sum of its digits each raised to k. 153 with k=3, 1634 with k=4, and 4150 with k=5 do. 4150 with k=4 does not, and neither does 2 with k=3. n runs from 0 to 999999999999999 and k runs from 1 to 15. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pdi

Inputs: k (required), n (required).

pdi_countPdi CountA
Read-onlyIdempotent
Inspect

How many integers from 0 through n equal the sum of their digits each raised to k. For k=3, through 1 there are 2 and through 407 there are 6. For k=5, through 4150 there are 3 and through 4151 there are 4. n runs from 0 to 20000 and k runs from 1 to 10. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pdi-count

Inputs: k (required), n (required).

pellPellA
Read-onlyIdempotent
Inspect

The nth Pell number. P0 is 0, P1 is 1, and each later term is twice the previous one plus the one before that. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 8192. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pell

Inputs: n (required), mod.

pell_composePell ComposeA
Read-onlyIdempotent
Inspect

Compose two solutions of x^2 - 2y^2 = ±1. The unit for index a multiplied by the unit for index b is the unit for a+b. a+b must be at most 8192. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pell-compose

Inputs: a (required), b (required).

pell_equationPell EquationA
Read-onlyIdempotent
Inspect

The nth solution of the Pell equation x^2 - 2y^2 = (-1)^n. x is half the companion Pell-Lucas number and y is the Pell number. A supplied norm must equal that sign. n runs from 0 to 8192. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pell-equation

Inputs: n (required), norm.

pell_lucasPell LucasA
Read-onlyIdempotent
Inspect

The nth companion Pell-Lucas number. Q0 and Q1 are both 2, and later terms use the Pell recurrence. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 8192. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pell-lucas

Inputs: n (required), mod.

pell_sumPell SumA
Read-onlyIdempotent
Inspect

The sum of Pell numbers, or companion Pell-Lucas numbers, from lo through hi inclusive. seq is p or q. lo must not pass hi. Each index runs from 0 to 8192. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pell-sum

Inputs: hi (required), lo (required), seq.

pentagonalPentagonalA
Read-onlyIdempotent
Inspect

The generalized pentagonal number n(3n-1)/2. n may be negative. n = 1 gives 1, n = -1 gives 2, and n = 0 is rejected. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pentagonal

Inputs: n (required).

pentanacciPentanacciA
Read-onlyIdempotent
Inspect

The nth Pentanacci number. P0 through P3 are 0, P4 is 1, and each later term is the sum of the previous five. P(10) is 31. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pentanacci

Inputs: n (required), mod.

pentanacci_indexPentanacci IndexA
Read-onlyIdempotent
Inspect

The smallest index n with P(n) equal to value. 0 is index 0, and 1 is index 4. A number that is not a Pentanacci term, or a leading zero, is rejected. value is a decimal integer of at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pentanacci-index

Inputs: value (required).

pentanacci_modPentanacci ModA
Read-onlyIdempotent
Inspect

P(n) mod m for the Pentanacci sequence. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 4096. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pentanacci-mod

Inputs: n (required), mod (required).

pentanacci_stepPentanacci StepB
Read-onlyIdempotent
Inspect

The Pentanacci step P(n) = P(n-1) + P(n-2) + P(n-3) + P(n-4) + P(n-5). a is P(n-5), b is P(n-4), c is P(n-3), d is P(n-2), and e is P(n-1). n runs from 5 to 4096. Past 15 digits a term is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pentanacci-step

Inputs: n (required).

pentanacci_sumPentanacci SumA
Read-onlyIdempotent
Inspect

The sum of Pentanacci numbers from lo through hi inclusive. The sum from P0 through P12 is 244. lo must not pass hi. Each index runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pentanacci-sum

Inputs: hi (required), lo (required).

perfect_checkPerfect CheckA
Read-onlyIdempotent
Inspect

Classify n from its divisor sum. 6 and 28 are perfect. 12 is abundant. 8 is deficient. The class is perfect, abundant, or deficient. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perfect-check

Inputs: n (required).

perfect_powerPerfect PowerA
Read-onlyIdempotent
Inspect

Whether n is a perfect power a^k with k at least 2. The base is the smallest such a, so the exponent is the largest. 16 is 2^4, 36 is 6^2, and 7 is not a perfect power. 0 and 1 use exponent 2. A leading zero is rejected. n has at most 80 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perfect-power

Inputs: n (required).

perfect_totientPerfect TotientA
Read-onlyIdempotent
Inspect

Whether n equals the sum of its iterated totients down to 1. The sum includes the final 1 and excludes n. 3, 9, 15, and 27 are. 1, 2, and 6 are not. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perfect-totient

Inputs: n (required).

period_doublePeriod DoubleA
Read-onlyIdempotent
Inspect

The period-doubling bit at index n, starting at 0. It is the parity of the exponent of 2 in n+1. Bit 0 is 0, bit 1 is 1, and the first 8 bits are 01000101. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/period-double

Inputs: n (required).

period_double_prefixPeriod Double PrefixA
Read-onlyIdempotent
Inspect

The first n period-doubling bits, as a string of the digits 0 and 1. The first 8 bits are 01000101. n runs from 1 to 4096. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/period-double-prefix

Inputs: n (required).

period_double_sumPeriod Double SumA
Read-onlyIdempotent
Inspect

The number of 1s in the first n period-doubling bits, from index 0 through n-1. The first 8 bits have three 1s, and the first 100 bits have 33. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/period-double-sum

Inputs: n (required).

perm_composePerm ComposeA
Read-onlyIdempotent
Inspect

Compose two permutations of the same length. a is applied first, then b, so the result at i is b[a[i]]. Both must use 0..n-1 once each. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perm-compose

Inputs: a (required), b (required).

perm_inversePerm InverseA
Read-onlyIdempotent
Inspect

Inverse of a permutation of 0..n-1. The inverse of [1, 2, 0] is [2, 0, 1]. Applying both is the identity. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perm-inverse

Inputs: perm (required).

permission_checkPermission CheckB
Read-onlyIdempotent
Inspect

Whether one class may read, write, or execute under a mode. Pass the class that applies: on a real system the owner class is used for the owner even when the group bits differ. setuid, setgid and sticky do not grant the bit. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/permission-check

Inputs: op (required), who (required), mode (required).

perm_nextPerm NextA
Read-onlyIdempotent
Inspect

The next permutation in lexicographic order. After [0, 1, 2] comes [0, 2, 1]. The reverse, [2, 1, 0], is the last and has no successor. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perm-next

Inputs: perm (required).

perm_rankPerm RankA
Read-onlyIdempotent
Inspect

Lexicographic rank of a permutation, or the permutation at a rank. [0, 1, 2] is rank 0 and [2, 0, 1] is rank 4. Give the permutation, or n and a rank, not both. n is at most 10. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perm-rank

Inputs: n, perm, rank.

perm_signPerm SignA
Read-onlyIdempotent
Inspect

Sign of a permutation of 0..n-1, from the number of inversions. [2, 1, 0] has three inversions and sign -1. The identity has sign 1. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perm-sign

Inputs: perm (required).

perrinPerrinA
Read-onlyIdempotent
Inspect

The nth Perrin number. R0 is 3, R1 is 0, R2 is 2, and later terms use the Padovan recurrence. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 8192. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perrin

Inputs: n (required), mod.

perrin_dividePerrin DivideA
Read-onlyIdempotent
Inspect

The remainder of the nth Perrin number divided by n. A prime n divides R(n), so the remainder is 0. n runs from 1 to 8192. Past 15 digits the Perrin number is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/perrin-divide

Inputs: n (required).

pgp_key_infoPgp Key InfoA
Read-onlyIdempotent
Inspect

Inspect an OpenPGP public key (ASCII-armored or base64 binary) the way gpg --show-keys does, offline: primary key and subkey fingerprints and key IDs (v4, v5 and RFC 9580 v6 keys), algorithm and size / curve (RSA, DSA, ElGamal, ECDSA, ECDH, EdDSA, Ed25519 / Ed448, X25519 / X448), creation and expiry from the self-signatures, revocations, capabilities (certify / sign / encrypt / authenticate), user IDs split into name / email / comment, preferred algorithms and features, the armor CRC-24 check and Web Key Directory (WKD) URLs for each email. Flags weak or deprecated keys, SHA-1 self-signatures, expired keys and keys without an encryption subkey. Private key blocks are refused. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pgp-key-info

Inputs: key (required), now.

phishing_scorePhishing ScoreA
Read-onlyIdempotent
Inspect

Heuristic phishing-likelihood score for a URL/domain: brand typosquat distance, subdomain depth, punycode, RDAP age, HTTPS reachability. Returns scored signals — not a verdict. Low Bazaar crowding. Price: $0.008 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/phishing-score

Inputs: url (required).

pierpontPierpontA
Read-onlyIdempotent
Inspect

Whether n is 2^a * 3^b + 1. 2, 4, 10, 19, and 145 are. 1, 8, and 11 are not. n runs from 1 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pierpont

Inputs: n (required).

pierpont_countPierpont CountA
Read-onlyIdempotent
Inspect

How many Pierpont primes are at most n. Through 1 there are 0, through 10 there are 4, through 20 there are 7, and through 100 there are 10. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pierpont-count

Inputs: n (required).

pierpont_nextPierpont NextA
Read-onlyIdempotent
Inspect

The smallest Pierpont prime that is at least n. 1 gives 2, 8 gives 13, 20 gives 37, and 98 gives 109. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pierpont-next

Inputs: n (required).

pierpont_powersPierpont PowersA
Read-onlyIdempotent
Inspect

The pair a,b with n = 2^a * 3^b + 1. 2 gives 0,0. 10 gives 0,2. 19 gives 1,2. 145 gives 4,2. A number not of that form is rejected. n runs from 1 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pierpont-powers

Inputs: n (required).

pierpont_primePierpont PrimeA
Read-onlyIdempotent
Inspect

Whether n is a Pierpont prime, a prime of the form 2^a * 3^b + 1. 2, 7, 19, and 109 are. 4, 10, 11, and 145 are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pierpont-prime

Inputs: n (required).

pii_detectPii DetectA
Read-onlyIdempotent
Inspect

Detect and redact PII in text: emails, phone numbers (E.164, NANP, keyword-anchored national), credit cards (Luhn + issuer prefix/length, brand), US SSNs (SSA validity rules) and IBANs (registry length + mod-97). Returns counts per type, findings with code-point offsets, confidence and masked values, and a redacted copy using stable labels ([EMAIL_1]) or inline masks. Raw values are only echoed with reveal:true. Offline; 200 KB text limit. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pii-detect

Inputs: text (required), style, types, reveal.

pingPingA
Read-onlyIdempotent
Inspect

Paid x402 test route for agents and client developers: the cheapest way to prove your x402 client signs a Solana USDC payment and the facilitator settles it before you call anything expensive. Returns pong, server time, your optional echo string and the payment terms; the settlement transaction comes back in the PAYMENT-RESPONSE header. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ping

Inputs: echo.

plane_partitionPlane PartitionA
Read-onlyIdempotent
Inspect

The number of plane partitions of n. The values begin 1, 1, 3, 6, 13, 24, so n=5 is 24, n=9 is 282, and n=10 is 500. n runs from 0 to 80. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/plane-partition

Inputs: n (required).

plane_partition_sumPlane Partition SumA
Read-onlyIdempotent
Inspect

The sum of the plane partition numbers from 0 through n. Through 0 it is 1, through 2 it is 5, through 4 it is 24, and through 5 it is 48. n runs from 0 to 80. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/plane-partition-sum

Inputs: n (required).

politePoliteA
Read-onlyIdempotent
Inspect

Whether n is polite: it is a sum of two or more consecutive positive integers. Every number that is not a power of two is polite. 3, 6, and 9 are. 1, 2, 4, and 8 are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/polite

Inputs: n (required).

polite_splitPolite SplitB
Read-onlyIdempotent
Inspect

The shortest sum of consecutive positive integers equal to n. 9 is 4+5, so it starts at 4 and has length 2. 6 is 1+2+3. 100 starts at 18 and has length 5. A power of two is rejected. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/polite-split

Inputs: n (required).

poly_addPoly AddA
Read-onlyIdempotent
Inspect

Add two integer polynomials, lowest degree first. Trailing zeros are dropped, and the zero polynomial is an empty list. An optional modulus reduces each coefficient; zero is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/poly-add

Inputs: a (required), b (required), mod.

poly_derivPoly DerivA
Read-onlyIdempotent
Inspect

Differentiate an integer polynomial. The derivative of a constant is the zero polynomial, which is an empty list. An optional modulus reduces each coefficient; zero is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/poly-deriv

Inputs: a (required), mod.

poly_divPoly DivA
Read-onlyIdempotent
Inspect

Exact quotient of two integer polynomials. The divisor must be non-zero, and every leading step must divide in the integers. A zero divisor or a non-integral quotient is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/poly-div

Inputs: a (required), b (required).

polydivisiblePolydivisibleA
Read-onlyIdempotent
Inspect

Whether the first k digits of n form a multiple of k, for every k. 0, 10, 12, 24, 102, and 3816547290 do. 11 and 103 do not. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/polydivisible

Inputs: n (required).

polydivisible_countPolydivisible CountA
Read-onlyIdempotent
Inspect

How many polydivisible numbers from 0 through n there are. Through 1 there are 2, through 10 there are 11, through 12 there are 12, and through 30 there are 21. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/polydivisible-count

Inputs: n (required).

poly_evalPoly EvalA
Read-onlyIdempotent
Inspect

Evaluate an integer polynomial at an integer point, by Horner. The zero polynomial evaluates to 0. An optional modulus reduces the result; zero is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/poly-eval

Inputs: a (required), x (required), mod.

polygonalPolygonalA
Read-onlyIdempotent
Inspect

The nth s-gonal number, n*((s-2)*n - (s-4))/2. Triangular 4 is 10, square 5 is 25, pentagonal 5 is 35, and hexagonal 5 is 45. s runs from 3 to 20 and n from 0 to 1000000. The 0th number is 0 and the 1st is 1. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/polygonal

Inputs: n (required), s (required).

polygonal_indexPolygonal IndexA
Read-onlyIdempotent
Inspect

The index n of an s-gonal number. Triangular 10 is index 4, and square 25 is index 5. 0 is index 0. A value that is not s-gonal is rejected. s runs from 3 to 20 and the value from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/polygonal-index

Inputs: s (required), value (required).

poly_mulPoly MulA
Read-onlyIdempotent
Inspect

Multiply two integer polynomials, lowest degree first. The zero polynomial is an empty list. An optional modulus reduces each coefficient; zero is rejected. A coefficient past 15 digits is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/poly-mul

Inputs: a (required), b (required), mod.

popcountPopcountA
Read-onlyIdempotent
Inspect

The number of 1 bits in n. 0 has none, 255 has 8, and 256 has 1. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/popcount

Inputs: n (required).

portfolio_metricsPortfolio MetricsA
Read-onlyIdempotent
Inspect

Portfolio and asset risk/return analytics from price or return series you supply: annualised return (CAGR) and volatility, Sharpe and Sortino ratios, max drawdown, historical and parametric 95% VaR, beta/alpha against a benchmark series and a correlation matrix, for each asset and the weighted (periodically rebalanced) portfolio. Up to 20 assets. POST JSON body. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/portfolio-metrics

Inputs: prices, returns, weights, benchmark, +2 more.

position_sizePosition SizeA
Read-onlyIdempotent
Inspect

Risk-based position sizing for trading agents: from account balance, risk per trade (percent or fixed amount), entry and stop price returns units to buy/sell, notional, leverage needed, stop distance, and with a target the reward:risk ratio, profit at target and break-even win rate. Optional fees and lot-size rounding. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/position-size

Inputs: stopPrice (required), entryPrice (required), accountBalance (required), feePct, +4 more.

powerfulPowerfulA
Read-onlyIdempotent
Inspect

Whether n is powerful: 1, or every prime factor's exponent is at least 2. 1, 8, and 36 are powerful. 12 is not. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/powerful

Inputs: n (required).

power_modPower ModA
Read-onlyIdempotent
Inspect

a to the power e, reduced modulo m. 2^10 mod 1000 is 24, 3^5 mod 7 is 5, and (-2)^3 mod 7 is 6. A zero exponent gives 1, including 0^0, except modulo 1 where every power is 0. e runs from 0 to 1000000000000, and m runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/power-mod

Inputs: a (required), e (required), m (required).

powersmoothPowersmoothA
Read-onlyIdempotent
Inspect

Whether n is y-power-smooth: every maximal prime-power factor p^k is at most y. 12 is 4-power-smooth and not 3-power-smooth. 8 is 8-power-smooth and not 4-power-smooth. n and y run from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/powersmooth

Inputs: n (required), y (required).

practicalPracticalA
Read-onlyIdempotent
Inspect

Whether n is practical: every integer from 1 to n is a sum of distinct divisors of n. 1, 2, 6, and 12 are practical. 3 and 10 are not. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/practical

Inputs: n (required).

practical_countPractical CountA
Read-onlyIdempotent
Inspect

How many practical numbers are from 1 through n. There are 5 through 10, and 15 through 40. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/practical-count

Inputs: n (required).

prev_primePrev PrimeA
Read-onlyIdempotent
Inspect

The greatest prime less than or equal to n. 2 gives 2, 10 gives 7, and 10000000 gives 9999991. n runs from 2 to 10000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prev-prime

Inputs: n (required).

prime_checkPrime CheckA
Read-onlyIdempotent
Inspect

Whether n is prime, by trial division. 1 is not prime. n < 1 is rejected. n runs up to 10^12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prime-check

Inputs: n (required).

prime_countPrime CountA
Read-onlyIdempotent
Inspect

pi(n), the number of primes less than or equal to n. pi(0) and pi(1) are 0, pi(10) is 4, pi(100) is 25, and pi(10000000) is 664579. n runs from 0 to 10000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prime-count

Inputs: n (required).

prime_gapPrime GapA
Read-onlyIdempotent
Inspect

The prime at or below n, the next prime after that one, and the difference. At 10 the prime is 7, the next is 11, and the gap is 4. At 11 the gap from 11 to 13 is 2. n runs from 2 to 10000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prime-gap

Inputs: n (required).

prime_nthPrime NthA
Read-onlyIdempotent
Inspect

The kth prime. The 1st is 2, the 10th is 29, the 100th is 541, and the 664579th is 9999991. k runs from 1 to 664579. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prime-nth

Inputs: k (required).

prime_powerPrime PowerA
Read-onlyIdempotent
Inspect

If n is a prime power p^k with k at least 1, return that prime and the exponent. Otherwise the prime and the exponent are 0. 8 is 2^3, 49 is 7^2, and 12 is not a prime power. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prime-power

Inputs: n (required).

prime_tripletPrime TripletA
Read-onlyIdempotent
Inspect

Whether n starts a prime triplet: n, n+2, and n+6 are prime, or n, n+4, and n+6 are prime. 5, 7, 11, and 13 do. 3 and 19 do not. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prime-triplet

Inputs: n (required).

prime_triplet_countPrime Triplet CountA
Read-onlyIdempotent
Inspect

How many prime-triplet starters are at most n. Through 3 there are none, through 5 there is 1, through 13 there are 4, and through 17 there are 5. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prime-triplet-count

Inputs: n (required).

primitive_abundantPrimitive AbundantA
Read-onlyIdempotent
Inspect

Whether n is abundant and no proper divisor is abundant. 12, 18, 20, and 70 are. 24 is not, because 12 divides it. 6 is perfect, so it is not. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/primitive-abundant

Inputs: n (required).

primitive_rootPrimitive RootA
Read-onlyIdempotent
Inspect

Whether g is a primitive root modulo the prime p. 3 is a primitive root mod 7, and 2 is not. 1 is a primitive root mod 2. p must be prime and runs from 2 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/primitive-root

Inputs: g (required), p (required).

primorialPrimorialA
Read-onlyIdempotent
Inspect

The primorial of n, the product of the primes less than or equal to n. The primorial of 1 is 1, of 10 is 210, and of 11 is 2310. n runs from 1 to 5000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/primorial

Inputs: n (required).

primorial_primePrimorial PrimeA
Read-onlyIdempotent
Inspect

Whether n# + 1 and n# - 1 are prime, where n# is the product of the primes up to n. 5# is 30, and both neighbors are prime. 7# is 210, and only 211 is prime. n runs from 2 to 30. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/primorial-prime

Inputs: n (required).

profanity_filterProfanity FilterA
Read-onlyIdempotent
Inspect

Profanity, sexual-language and slur filter for chat, usernames, reviews and LLM output: token-level matching (no Scunthorpe false positives) with obfuscation handling (leetspeak f4ck / sh1t, masked letters f*ck, repeated letters fuuuck, separators f.u.c.k / f u c k, accents), inflections and compounds (bullshit, motherf...). Severity mild / moderate / severe and category per hit, masked output in four styles, custom block / allow words. Matched words are never echoed unless reveal is set. Offline, English. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/profanity-filter

Inputs: text (required), mask, reveal, allowWords, +2 more.

prompt_injection_scanPrompt Injection ScanA
Read-onlyIdempotent
Inspect

Offline prompt-injection / jailbreak / exfiltration scanner: 10 rule families (ignore-instructions, reveal-system, role-hijack, delimiter-escape, tool/secret dump, encoding smuggle, policy bypass, authority claim, continuation trap, multilingual) plus hidden-Unicode and long-base64 heuristics. Returns verdict (clean|suspicious|critical), 0-100 score and match spans. Batch up to 20 texts. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prompt-injection-scan

Inputs: text.

pronicPronicA
Read-onlyIdempotent
Inspect

The nth pronic number, n*(n+1). The 0th is 0, the 1st is 2, and the 5th is 30. n runs from 0 to 10000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pronic

Inputs: n (required).

prorateProrateA
Read-onlyIdempotent
Inspect

Prorate a money amount across a date range, in exact cents. The window is half-open: from the start date up to but not including the end date. The charge is amount × days used / days in the period, rounded half away from zero. The used range has to sit inside the period. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/prorate

Inputs: amount (required), useEnd (required), useStart (required), periodEnd (required), +1 more.

prothProthA
Read-onlyIdempotent
Inspect

The Proth number k2^n + 1. k must be odd and strictly less than 2^n. 12^1+1 is 3, and 3*2^5+1 is 97. An even k, or a k that is not below 2^n, is rejected. n runs from 1 to 40. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/proth

Inputs: k (required), n (required).

prufer_decodePrufer DecodeA
Read-onlyIdempotent
Inspect

The tree edges for a Prüfer code, as a flat list of sorted pairs. Code 2,3 is the path 1-2-3-4. Code 1,1 is the star at 1. An empty code is the edge 1-2. Code entries run from 1 to 30. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prufer-decode

Inputs: code (required).

prufer_degreePrufer DegreeA
Read-onlyIdempotent
Inspect

The degree of a vertex in the tree described by a Prüfer code. Degree is one plus the number of times the vertex appears. In code 2,3, vertex 2 has degree 2 and vertex 1 has degree 1. The vertex must lie from 1 to n. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prufer-degree

Inputs: code (required), vertex (required).

prufer_encodePrufer EncodeA
Read-onlyIdempotent
Inspect

The Prüfer code of a tree on vertices 1..n. Edges are a flat list of pairs. The path 1-2-3-4 gives 2,3. The star with center 1 and leaves 2,3,4 gives 1,1. Two vertices give an empty code. Vertices run from 1 to 30. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/prufer-encode

Inputs: edges (required).

pythag_checkPythag CheckA
Read-onlyIdempotent
Inspect

Check a^2 + b^2 = c^2 for positive integers, with c the hypotenuse. primitive is true when the three sides are coprime. A side triple that fails the equation is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pythag-check

Inputs: a (required), b (required), c (required).

pythag_genPythag GenA
Read-onlyIdempotent
Inspect

The Pythagorean triple from m > n >= 1 and scale k >= 1. a is k(m^2-n^2), b is k(2mn), and c is k(m^2+n^2). primitive is true when k is 1, m and n are coprime, and they have opposite parity. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/pythag-gen

Inputs: k (required), m (required), n (required).

qr_generateQr GenerateA
Read-onlyIdempotent
Inspect

Generate a QR code (PNG or SVG, base64 + data URI) for any UTF-8 text up to 2953 bytes. Options: ecc L|M|Q|H, size (px/module), margin, format png|svg, fg/bg hex colours. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/qr-generate

Inputs: text (required), bg, fg, ecc, +3 more.

quadratic_residueQuadratic ResidueA
Read-onlyIdempotent
Inspect

Whether a is a square modulo an odd prime p, counting 0 as a square. 2 is a square mod 7, and 3 is not. -1 is a square mod 5 and not mod 7. p must be an odd prime. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/quadratic-residue

Inputs: a (required), p (required).

quat_invQuat InvA
Read-onlyIdempotent
Inspect

Inverse of a quaternion, the conjugate divided by the squared length. (1, 2, 3, 4) inverts to (1/30, -1/15, -1/10, -2/15). Zero has no inverse. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/quat-inv

Inputs: q (required).

quat_mulQuat MulA
Read-onlyIdempotent
Inspect

Hamilton product of two quaternions, scalar first. i times j is k, and j times i is minus k. Components are exact fractions. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/quat-mul

Inputs: a (required), b (required).

quat_normQuat NormA
Read-onlyIdempotent
Inspect

Conjugate and squared length of a quaternion. (1, 2, 3, 4) has squared length 30 and conjugate (1, -2, -3, -4). Unit means the squared length is 1. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/quat-norm

Inputs: q (required).

quat_powQuat PowA
Read-onlyIdempotent
Inspect

Integer power of a quaternion. i squared is -1, and i to the fourth is 1. Exponent 0 is 1, including zero to the 0. A negative power inverts first. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/quat-pow

Inputs: q (required), exp (required).

quat_rotateQuat RotateB
Read-onlyIdempotent
Inspect

Rotate a vector by a quaternion, q v q inverse. k sends (1, 0, 0) to (-1, 0, 0), a half turn about z. Scaling q does not change the turn. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/quat-rotate

Inputs: q (required), v (required).

radicalRadicalA
Read-onlyIdempotent
Inspect

The radical of n, the product of its distinct prime factors. rad(1) is 1, rad(12) is 6, and rad(36) is 6. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/radical

Inputs: n (required).

random_drawRandom DrawA
Read-onlyIdempotent
Inspect

Provably fair random draws for giveaways, raffles, games and A/B assignment. Pick winners from a list (unique or with replacement, optional weights), shuffle a list, split people into balanced teams, draw integers in a range, or roll dice ("3d6+2", "4d6kh3"). Randomness is HMAC-SHA256(serverSeed, clientSeed:nonce:counter) with unbiased rejection sampling and Fisher–Yates; the response publishes the server seed, its SHA-256 commitment and the algorithm so anyone can re-run and verify the draw. Supply serverSeed + clientSeed to reproduce a previous draw exactly. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/random-draw

Inputs: max, min, dice, mode, +7 more.

range_lcmRange LcmA
Read-onlyIdempotent
Inspect

The least common multiple of the integers from lo through hi. The LCM of 1 through 10 is 2520, and the LCM of 1 through 11 is 27720. lo must not pass hi. Each end runs from 1 to 40. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/range-lcm

Inputs: hi (required), lo (required).

rdap_ageRdap AgeA
Read-onlyIdempotent
Inspect

Lightweight RDAP registration age lookup: registered/expiry dates, ageDays, daysToExpiry, registrar, status flags via rdap.org bootstrap. Faster/cheaper than full domain-intel when you only need age. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/rdap-age

Inputs: domain (required).

readability_extractReadability ExtractA
Read-onlyIdempotent
Inspect

Extract the main article from a web page (Readability-style content scoring, no headless browser): clean body text with paragraph breaks plus title, byline, site name, published/modified dates, language, excerpt, lead image, word count and reading time. Navigation, ads, share bars, comments and related-links blocks are stripped; JSON-LD articleBody is used when it is fuller. SSRF-safe fetch. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/readability-extract

Inputs: url (required), maxChars, paragraphs.

recamanRecamanA
Read-onlyIdempotent
Inspect

The nth Recamán term. a(0) is 0. Each later term steps back by n when that value is positive and new, and otherwise steps forward by n. a(4) is 2 and a(6) is 13. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/recaman

Inputs: n (required).

recaman_seenRecaman SeenA
Read-onlyIdempotent
Inspect

Whether value appears in Recamán's sequence from a(0) through a(limit), and the smallest index if it does. 2 appears at index 4. 4 does not appear by index 20. limit runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/recaman-seen

Inputs: limit (required), value (required).

redirect_chainRedirect ChainA
Read-onlyIdempotent
Inspect

Follow HTTP redirects (max 10) with SSRF protections; report each hop status, Location, Server and Content-Type. Detect open-redirect chains and tracking bounces. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/redirect-chain

Inputs: url (required).

refactorableRefactorableA
Read-onlyIdempotent
Inspect

Whether n is refactorable: the number of positive divisors of n divides n. 1, 2, 8, 9, and 12 are refactorable. 4 and 6 are not. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/refactorable

Inputs: n (required).

regex_explainRegex ExplainA
Read-onlyIdempotent
Inspect

Explain, lint and test a regular expression before an agent ships it. Parses the pattern (PCRE, JavaScript, Python, Go/RE2, Java or .NET syntax) into a token-by-token plain-English explanation with capture groups; flags ReDoS risks (nested quantifiers, overlapping alternation in repeats, adjacent overlapping quantifiers) and confirms them with a crafted input against a backtracking limit; warns about common bugs (unescaped dots in domains, [A-z], empty alternatives, unanchored validators); reports which features each regex flavour does not support (lookbehind, possessive / atomic, \A \z, named-group syntax, Unicode classes, backreferences in RE2); and runs the pattern on sample strings returning every match with its groups and offsets. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/regex-explain

Inputs: pattern (required), flags, tests, flavor.

regex_testRegex TestB
Read-onlyIdempotent
Inspect

Offline PCRE2 regex tester (JS-compatible i/m/s/u flags): match (with offsets + capture groups), replace, or split. Hard caps on backtracking/recursion and a structural ReDoS warning. Pattern max 2 KB, subject max 200 KB. Returns count, matches/result/parts and engine notes. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/regex-test

Inputs: pattern, subject.

regression_fitRegression FitA
Read-onlyIdempotent
Inspect

Fit a regression model and get the full statistical table, like R's summary(lm) or statsmodels. Linear, polynomial (degree 2–6), exponential (y = a·e^(bx)), logarithmic, power (y = a·x^b), multiple linear (many named predictors) and binary logistic regression (IRLS, odds ratios, McFadden pseudo-R², accuracy). Returns coefficients with standard errors, t / z statistics, p-values and confidence intervals, R² and adjusted R², residual standard error, F-test, AIC / BIC, a residual summary, the fitted equation, and predictions with confidence and prediction intervals. model=best ranks the single-predictor models by adjusted R² on the original scale. Numerically stable Householder QR. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/regression-fit

Inputs: x (required), y (required), model, names, +4 more.

rencontresRencontresA
Read-onlyIdempotent
Inspect

The rencontres number D(n, k), the permutations of n objects with k fixed points. D(n, k) = C(n, k) * !(n-k). D(5, 0) is 44, and D(5, 2) is 20. n runs from 0 to 100, and k runs from 0 to n. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/rencontres

Inputs: k (required), n (required).

repo_postureRepo PostureA
Read-onlyIdempotent
Inspect

Security posture of a public GitHub repository from the OpenSSF Scorecard API: aggregate 0-10 score and rating, every check (Code-Review, Branch-Protection, Dangerous-Workflow, Token-Permissions, Pinned-Dependencies, Signed-Releases, Vulnerabilities, SAST, Fuzzing, Security-Policy, ...) with score, risk level, status and reason, a list of failing important checks, plus GitHub signals: SECURITY.md location, license, archived, stars, last push. Price: $0.02 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/repo-posture

Inputs: repo (required), details.

repunitRepunitA
Read-onlyIdempotent
Inspect

The repunit of length n, (10^n - 1)/9. R1 is 1 and R2 is 11. n = 0 is rejected. n runs up to 500. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/repunit

Inputs: n (required).

resistor_codeResistor CodeA
Read-onlyIdempotent
Inspect

IEC 60062 resistor color code. Decode 3 to 6 bands, or encode a resistance that lands exactly on a digit-and-multiplier value. Digits run black=0 through white=9. Multipliers run from silver (×0.01) and gold (×0.1) through white (×1e9). Tolerances: brown 1%, red 2%, green 0.5%, blue 0.25%, violet 0.1%, grey 0.05%, gold 5%, silver 10%. Three bands mean 20% and have no tolerance band. The sixth band is the temperature coefficient in ppm/K: black 250, brown 100, red 50, orange 15, yellow 25, green 20, blue 10, violet 5, grey 1. Grey may be spelled gray. This does not measure a part. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/resistor-code

Inputs: ohms, bands, count, tempco, +1 more.

resistor_networkResistor NetworkA
Read-onlyIdempotent
Inspect

Series or parallel equivalent of 2 to 24 resistances. Series adds them. Parallel is the reciprocal of the sum of the reciprocals. Exact rationals. Every value must be positive. One block only: a mixed ladder is not a mode. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/resistor-network

Inputs: mode (required), values (required).

reverse_addReverse AddA
Read-onlyIdempotent
Inspect

n plus its digit reversal. 10 gives 11, 19 gives 110, and 121 gives 242. A trailing zero reverses as a leading zero and does not change the value. n runs from 0 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/reverse-add

Inputs: n (required).

reverse_dnsReverse DnsA
Read-onlyIdempotent
Inspect

Reverse DNS (PTR) for up to 20 IPv4 / IPv6 addresses with forward-confirmed reverse DNS (FCrDNS: does the PTR hostname resolve back to the same IP?), PTR name, TTL and NXDOMAIN / SERVFAIL status, over DNS-over-HTTPS. Useful for mail-server checks, log enrichment and bot verification (e.g. is this really Googlebot). Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/reverse-dns

Inputs: ips (required), forward.

riordanRiordanA
Read-onlyIdempotent
Inspect

The nth Riordan number. R(0) is 1, R(1) is 0, and (n+1)R(n) = (n-1)(2R(n-1) + 3R(n-2)) for n at least 2. R(4) is 3, and R(6) is 15. n runs from 0 to 80. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/riordan

Inputs: n (required).

riordan_modRiordan ModA
Read-onlyIdempotent
Inspect

R(n) mod m for the Riordan numbers. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 80. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/riordan-mod

Inputs: n (required), mod (required).

riordan_sumRiordan SumA
Read-onlyIdempotent
Inspect

The sum of Riordan numbers from lo through hi inclusive. The sum from R(0) through R(10) is 989. lo must not pass hi. Each index runs from 0 to 80. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/riordan-sum

Inputs: hi (required), lo (required).

risingRisingA
Read-onlyIdempotent
Inspect

The rising factorial n^(k) = n*(n+1)...(n+k-1). 5^(3) is 210, and 5^(0) is 1. n runs from 0 to 100000 and k runs from 0 to 512. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/rising

Inputs: k (required), n (required).

robots_sitemapRobots SitemapA
Read-onlyIdempotent
Inspect

Fetch and parse robots.txt plus discovered sitemaps for a domain: user-agents, allow/disallow samples, sitemap index vs urlset, URL counts and sample locs. Useful for crawl planning and AI agent politeness checks. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/robots-sitemap

Inputs: domain (required).

roughRoughA
Read-onlyIdempotent
Inspect

Whether n is y-rough: its smallest prime factor is at least y. 35 is 5-rough and not 7-rough. 1 is 1-rough and not 2-rough. n and y run from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/rough

Inputs: n (required), y (required).

rrule_expandRrule ExpandA
Read-onlyIdempotent
Inspect

Expand an iCalendar RFC 5545 RRULE (recurring event rule, as used by Google Calendar, Outlook, CalDAV) into concrete occurrences in any IANA zone, DST-correct, with an English description. Supports FREQ (yearly … secondly), INTERVAL, COUNT, UNTIL, BYMONTH, BYWEEKNO, BYYEARDAY, BYMONTHDAY, BYDAY with ordinals (2MO, -1FR), BYHOUR / BYMINUTE / BYSECOND, BYSETPOS, WKST, plus EXDATE / RDATE and an after / before window. Accepts a bare rule or full DTSTART + RRULE lines. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/rrule-expand

Inputs: rrule (required), tz, after, limit, +4 more.

rudin_shapiroRudin ShapiroA
Read-onlyIdempotent
Inspect

The Rudin-Shapiro bit of n, the parity of the number of overlapping 11 blocks in its binary expansion. n = 3 is 11, so the bit is 1 and the sign is -1. n = 0 is 0. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/rudin-shapiro

Inputs: n (required).

rulerRulerA
Read-onlyIdempotent
Inspect

The ruler value of n, the exponent of 2 in n. v2(1) is 0, v2(8) is 3, and v2(12) is 2. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ruler

Inputs: n (required).

ruler_maxRuler MaxA
Read-onlyIdempotent
Inspect

The largest ruler value on 1 through n, and the smallest index where it occurs. That index is the greatest power of 2 that does not exceed n. On 1 through 20 the maximum is 4, at 16. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ruler-max

Inputs: n (required).

ruler_oddRuler OddA
Read-onlyIdempotent
Inspect

Remove every factor of 2 from n. The odd part of 12 is 3 and the valuation is 2. The odd part of 7 is 7. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ruler-odd

Inputs: n (required).

ruler_prefixRuler PrefixA
Read-onlyIdempotent
Inspect

The ruler values v2(1) through v2(n), written as comma-separated integers. The first 8 values are 0,1,0,2,0,1,0,3. n runs from 1 to 4096. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ruler-prefix

Inputs: n (required).

ruler_sumRuler SumA
Read-onlyIdempotent
Inspect

The sum of the ruler values v2(1) through v2(n). It equals n minus the number of 1-bits in n. The sum through 15 is 11. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ruler-sum

Inputs: n (required).

ruth_aaronRuth AaronA
Read-onlyIdempotent
Inspect

Whether n and n+1 have the same sum of prime factors, counted with repetition. 5, 8, 15, and 714 do. 6 and 9 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ruth-aaron

Inputs: n (required).

safeprimeSafeprimeA
Read-onlyIdempotent
Inspect

Whether n and (n-1)/2 are both prime. 5 comes from 2, 7 comes from 3, and 23 comes from 11. 3 and 17 are not safeprimes. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/safeprime

Inputs: n (required).

saml_decodeSaml DecodeA
Read-onlyIdempotent
Inspect

Decode and inspect SAML 2.0 messages for SSO debugging: paste a SAMLResponse / SAMLRequest (base64 from an HTTP-POST form, deflated + URL-encoded from an HTTP-Redirect URL, the whole redirect URL, or raw XML) or IdP / SP metadata. Returns the message type, issuer, destination, status, every assertion (NameID and format, subject confirmation, conditions with NotBefore / NotOnOrAfter checked against now, audiences, AuthnContext, session index, attributes), signature placement and algorithms, embedded certificates (subject, expiry, SHA-256 fingerprint) and metadata endpoints. Flags unsigned responses, SHA-1, signature references that do not cover their parent (XML Signature Wrapping), multiple assertions, comments inside NameID, expired conditions and expired certificates. DTDs are rejected (XXE-safe); signatures are inspected, not cryptographically verified. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/saml-decode

Inputs: saml (required), now, includeXml.

sanctions_screenSanctions ScreenA
Read-onlyIdempotent
Inspect

Sanctions screening of a person or company NAME against the official consolidated lists: US OFAC SDN + non-SDN, UK Sanctions List (FCDO/OFSI), EU Financial Sanctions Files and the UN Security Council Consolidated List, loaded from the official files (no third-party aggregator). Transliteration-aware fuzzy matching; returns scored matches with list source, programmes/regimes, aliases, dates of birth, countries and listing date, plus each list's publication date. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sanctions-screen

Inputs: name (required), type, limit, lists, +1 more.

scam_text_scoreScam Text ScoreA
Read-onlyIdempotent
Inspect

Scam / fraud likelihood for messages, DMs, emails, posts and listings: 16 pattern families (crypto doubling giveaways, seed-phrase and private-key solicitation, wallet-connect / airdrop lures, fake support, guaranteed-return and pig-butchering investment pitches, advance-fee, gift-card / wire / crypto-ATM payment, off-platform WhatsApp / Telegram pushes, job-task scams, credential and OTP requests, recovery scams, urgency and account threats) plus link and text signals (URL shorteners, IP and punycode links, crypto addresses, homoglyph words, invisible characters, shouting). Returns 0-100 score, label and evidence spans. Batch up to 50 texts. Offline heuristics, not a verdict. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/scam-text-score

Inputs: text, texts.

schema_org_extractSchema Org ExtractA
Read-onlyIdempotent
Inspect

Extract all schema.org structured data from a public page (SSRF-safe fetch) or HTML: JSON-LD (including @graph), microdata (nested itemscope / itemref) and RDFa Lite, normalised to typed items, plus a per-type summary with key facts (product price / currency / availability / rating, article headline / author / dates, breadcrumbs, FAQ questions, events, organisation, recipe) and missing-property warnings for Google rich results. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/schema-org-extract

Inputs: url, full, html, formats.

schema_validateSchema ValidateA
Read-onlyIdempotent
Inspect

Validate JSON data against a JSON Schema (Ajv + formats). Body: { "schema": {...}, "data": {...} }. Returns valid boolean and error list. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/schema-validate

Inputs: data (required), schema (required).

schroderSchroderA
Read-onlyIdempotent
Inspect

The nth large Schröder number. S(0) is 1, S(1) is 2, and S(5) is 394. n runs from 0 to 64. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/schroder

Inputs: n (required).

schroder_littleSchroder LittleA
Read-onlyIdempotent
Inspect

The nth little Schröder number. It is 1 at n = 0 and half the large Schröder number for n > 0. s(5) is 197. n runs from 0 to 64. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/schroder-little

Inputs: n (required).

sec_13fSec 13fA
Read-onlyIdempotent
Inspect

Institutional holdings from a fund manager's latest SEC 13F-HR: the information table parsed from EDGAR, aggregated by CUSIP (issuer, class, shares, USD value, portfolio weight, put/call, voting authority), with filing period, totals, amendment and recent-filing links. Look up by manager name or CIK, or pin a specific accession. Price: $0.02 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sec-13f

Inputs: fund (required), limit, accession.

sec_financialsSec FinancialsA
Read-onlyIdempotent
Inspect

Normalized financial statements for any SEC filer by ticker or CIK, straight from EDGAR XBRL: revenue, gross profit, operating income, net income, EPS, assets, liabilities, equity, cash, debt, operating cash flow, capex and free cash flow per fiscal year or quarter, with margins, current ratio, leverage, ROE and YoY growth. Handles concept switches (ASC 606) and IFRS 20-F filers; lists the XBRL concepts used. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sec-financials

Inputs: cik, limit, period, ticker.

sec_form4Sec Form4A
Read-onlyIdempotent
Inspect

Insider trading from SEC Form 4: the latest Form 4 filings for a ticker or CIK parsed from EDGAR ownershipDocument XML. Reporting owner and role, every transaction (code + meaning, shares, price, value, acquired/disposed, holdings after, derivative details) and open-market buy/sell totals. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sec-form4

Inputs: company (required), type, limit.

secret_scanSecret ScanA
Read-onlyIdempotent
Inspect

Scan code, config, logs, diffs or prompts for leaked credentials before you commit, share or send them to an LLM: 50+ rules (AWS, GitHub, GitLab, Slack, Stripe, Google, OpenAI, Anthropic, xAI, Hugging Face, npm, PyPI, Twilio, Telegram, Discord, DigitalOcean, Vault, database URLs, JWTs, PEM private keys) plus crypto-wallet secrets (EVM/Solana hex and base58 keys, Solana keypair arrays, checksum-validated Bitcoin WIF, seed phrases) and entropy-checked generic password assignments. Findings carry line/column, severity, entropy and a redacted preview (secrets are never echoed); placeholders and documented example keys are marked; optional fully redacted copy of the input. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/secret-scan

Inputs: text (required), redact, maxFindings, includeGeneric.

security_txtSecurity TxtA
Read-onlyIdempotent
Inspect

Fetch and validate a site's security.txt (RFC 9116) for vulnerability disclosure: tries /.well-known/security.txt then the legacy /security.txt (SSRF-safe), parses Contact / Expires / Encryption / Policy / Acknowledgments / Preferred-Languages / Canonical / Hiring / CSAF, handles PGP-signed files, and reports RFC errors (missing or expired Expires, non-URI contacts, wrong content type, http links, Canonical mismatch) with days until expiry. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/security-txt

Inputs: domain (required).

selector_specificitySelector SpecificityA
Read-onlyIdempotent
Inspect

Specificity of one CSS selector, from Selectors Level 4. a is IDs. b is classes, attributes and pseudo-classes. c is elements and pseudo-elements. :is(), :not() and :has() use only the most specific argument. :where() is zero. :nth-child() and :nth-last-child() are one pseudo-class, plus the most specific selector after of. :host() and :host-context() add one pseudo-class plus the argument. ::slotted() adds one pseudo-element plus the argument. ::part() is one pseudo-element. A comma list returns every selector; the top numbers are the most specific, the first on a tie. against compares those numbers. At most 50 selectors in a list. Backslashes and namespaces are rejected. A bad selector is an error, not dropped. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/selector-specificity

Inputs: selector (required), against.

self_countSelf CountB
Read-onlyIdempotent
Inspect

How many self numbers are at most n. Through 1 there is 1, through 10 there are 5, through 20 there are 6, and through 100 there are 13. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/self-count

Inputs: n (required).

self_nextSelf NextA
Read-onlyIdempotent
Inspect

The smallest self number that is at least n. 1 stays 1, 2 gives 3, 10 gives 20, and 21 gives 31. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/self-next

Inputs: n (required).

self_nthSelf NthA
Read-onlyIdempotent
Inspect

The kth self number. The 1st is 1, the 5th is 9, the 10th is 64, and the 20th is 165. k runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/self-nth

Inputs: k (required).

self_numberSelf NumberA
Read-onlyIdempotent
Inspect

Whether n is a self number: no m has m plus its digit sum equal to n. 1, 20, and 108 are. 2, 10, and 21 are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/self-number

Inputs: n (required).

self_seedSelf SeedC
Read-onlyIdempotent
Inspect

m plus the sum of its decimal digits. 1 gives 2, 5 gives 10, 19 gives 29, and 99 gives 117. A self number is a number this map never hits. m runs from 0 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/self-seed

Inputs: m (required).

semiperfectSemiperfectA
Read-onlyIdempotent
Inspect

Whether some subset of the proper divisors of n sums to n. 6 and 12 are semiperfect. 10 and 70 are not. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/semiperfect

Inputs: n (required).

semverSemverA
Read-onlyIdempotent
Inspect

Semantic versioning toolkit with npm (node-semver) semantics: validate and parse a version, compare two versions, test a range (^, ~, x-ranges, hyphen ranges, || unions, prerelease rules) and show its comparator form, sort a list and pick the max/min version satisfying a range, and bump (major, minor, patch, pre*, prerelease with an identifier). Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/semver

Inputs: bump, preid, range, version, +3 more.

sentimentSentimentA
Read-onlyIdempotent
Inspect

Sentiment analysis with VADER (Hutto & Gilbert 2014; MIT), the lexicon-and-rules model tuned for social media, reviews and short text: compound score (-1..1), positive/neutral/negative proportions and a label, handling negation, intensifiers, ALL-CAPS, "but" contrast, punctuation emphasis, slang, emoticons and emoji. Per-sentence breakdown, or batch up to 50 texts with a summary. Scores match the reference implementation. Offline, English. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sentiment

Inputs: text, texts, sentences.

seo_auditSeo AuditA
Read-onlyIdempotent
Inspect

On-page SEO audit of one URL with a 0-100 score, letter grade and prioritised issues (high/medium/low): title and meta description length, robots meta and X-Robots-Tag noindex, canonical, lang, viewport, charset, favicon, H1/heading outline, image alt coverage, internal/external/nofollow links, OpenGraph and Twitter cards, JSON-LD/microdata types, hreflang, mixed content, word count, plus robots.txt allow/deny for the URL and declared sitemaps. SSRF-safe fetching. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/seo-audit

Inputs: url (required), robots.

seventh_sumSeventh SumA
Read-onlyIdempotent
Inspect

The sum of the first n seventh powers, n^2(n+1)^2(3n^4+6n^3-n^2-4n+2)/24. The sum through 10 is 18080425. n runs from 0 to 10000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/seventh-sum

Inputs: n (required).

sexy_primeSexy PrimeA
Read-onlyIdempotent
Inspect

Whether n and n+6 are both prime. 5 pairs with 11, 7 pairs with 13, and 3 does not pair with 9. n runs from 1 to 1000000000000. The partner is n+6. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sexy-prime

Inputs: n (required).

sigma_kSigma KA
Read-onlyIdempotent
Inspect

The sum of the kth powers of the divisors of n. sigma_2(1) is 1, sigma_2(6) is 50, and sigma_2(12) is 210. n runs from 1 to 1000000000000, and k runs from 2 to 12. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sigma-k

Inputs: k (required), n (required).

sixth_sumSixth SumA
Read-onlyIdempotent
Inspect

The sum of the first n sixth powers, n(n+1)(2n+1)(3n^4+6n^3-3n+1)/42. The sum through 10 is 1978405. n runs from 0 to 10000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sixth-sum

Inputs: n (required).

sl2_detSl2 DetB
Read-onlyIdempotent
Inspect

The determinant ad-bc of a 2 by 2 integer matrix [a, b, c, d]. The determinant of [1, 1, 0, 1] is 1, and the determinant of [2, 0, 0, 3] is 6. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sl2-det

Inputs: matrix (required).

sl2_invSl2 InvA
Read-onlyIdempotent
Inspect

The inverse of a 2 by 2 integer matrix whose determinant is 1 or -1. The inverse of [1, 1, 0, 1] is [1, -1, 0, 1]. Any other determinant is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sl2-inv

Inputs: matrix (required).

sl2_mulSl2 MulA
Read-onlyIdempotent
Inspect

The product of two integer 2 by 2 matrices, each written as [a, b, c, d]. [1, 1, 0, 1] times [1, 0, 1, 1] is [2, 1, 1, 1]. Each entry runs from -1000000 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sl2-mul

Inputs: left (required), right (required).

sl2_powSl2 PowA
Read-onlyIdempotent
Inspect

The non-negative integer power of a 2 by 2 integer matrix. The exponent 0 is the identity [1, 0, 0, 1]. [1, 1, 0, 1] to the fifth is [1, 5, 0, 1]. [1, 1, 1, 0] to the fifth is [8, 5, 5, 3]. The exponent runs from 0 to 64. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sl2-pow

Inputs: exp (required), matrix (required).

sl2_traceSl2 TraceA
Read-onlyIdempotent
Inspect

The trace a+d of a 2 by 2 integer matrix [a, b, c, d]. The trace of [1, 1, 0, 1] is 2, and the trace of [8, 5, 5, 3] is 11. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sl2-trace

Inputs: matrix (required).

slaac_addressSlaac AddressA
Read-onlyIdempotent
Inspect

IPv6 address a host builds for itself from a /64 prefix and a MAC (SLAAC, RFC 4862). The interface id is the modified EUI-64. The prefix must be exactly 64 bits and the low 64 bits of the prefix must be zero. Also returns the link-local address and the solicited-node multicast address. Text is RFC 5952. No zone index and no IPv4 tail. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/slaac-address

Inputs: mac (required), prefix (required).

smallest_prime_factorSmallest Prime FactorA
Read-onlyIdempotent
Inspect

The smallest prime factor of n. It is 1 for 1, 2 for 12, 5 for 35, and 7 for 49. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/smallest-prime-factor

Inputs: n (required).

smarandacheSmarandacheA
Read-onlyIdempotent
Inspect

The smallest positive k such that n divides k!. 1 gives 1, 6 gives 3, 8 gives 4, 9 gives 6, 12 gives 4, and 16 gives 6. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/smarandache

Inputs: n (required).

smarandache_gapSmarandache GapA
Read-onlyIdempotent
Inspect

n minus S(n). 1 and 4 give 0, 6 gives 3, 8 gives 4, 10 gives 5, and 16 gives 10. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/smarandache-gap

Inputs: n (required).

smarandache_leastSmarandache LeastA
Read-onlyIdempotent
Inspect

The smallest positive integer m with S(m) = k. k=1 gives 1, k=6 gives 9, k=8 gives 32, k=9 gives 27, and k=11 gives 11. k runs from 1 to 15. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/smarandache-least

Inputs: k (required).

smarandache_quotSmarandache QuotA
Read-onlyIdempotent
Inspect

S(n)! divided by n. 1 gives 1, 6 gives 1, 8 gives 3, 9 gives 80, 10 gives 12, and 16 gives 45. n runs from 1 to 20. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/smarandache-quot

Inputs: n (required).

smarandache_sumSmarandache SumA
Read-onlyIdempotent
Inspect

The sum of S(k) from 1 through n. Through 1 it is 1, through 6 it is 18, through 10 it is 40, and through 12 it is 55. n runs from 1 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/smarandache-sum

Inputs: n (required).

smithSmithA
Read-onlyIdempotent
Inspect

Whether n is a composite Smith number: its digit sum equals the digit sum of its prime factors with multiplicity. 4, 22, 27, and 121 are. 6 and every prime are not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/smith

Inputs: n (required).

smoothSmoothA
Read-onlyIdempotent
Inspect

Whether n is y-smooth: its largest prime factor is at most y. 12 is 3-smooth and not 2-smooth. 1 is 1-smooth. n and y run from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/smooth

Inputs: n (required), y (required).

sociableSociableA
Read-onlyIdempotent
Inspect

Whether n lies on an aliquot cycle of length at least 3. 12496 does. 6, 220, and 25 do not. A chain past 30 steps or past one million is rejected as open. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sociable

Inputs: n (required).

sociable_chainSociable ChainA
Read-onlyIdempotent
Inspect

The aliquot cycle containing n, starting at n, comma-separated. 220 gives 220,284. 6 gives 6. 12496 gives 12496,14288,15472,14536,14264. A number off a cycle is rejected. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sociable-chain

Inputs: n (required).

sociable_lengthSociable LengthA
Read-onlyIdempotent
Inspect

The length of the aliquot cycle containing n, or 0 when n is not on a cycle. 6 gives 1, 220 gives 2, 12496 gives 5, and 25 gives 0. An open chain is rejected. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sociable-length

Inputs: n (required).

sociable_minSociable MinA
Read-onlyIdempotent
Inspect

The smallest member of the aliquot cycle containing n. 284 gives 220 and 14288 gives 12496. A number that is not on a cycle is rejected. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sociable-min

Inputs: n (required).

sociable_sumSociable SumA
Read-onlyIdempotent
Inspect

The sum of the aliquot cycle containing n. 6 gives 6, 220 gives 504, and 12496 gives 71056. A number that is not on a cycle is rejected. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sociable-sum

Inputs: n (required).

sol_accountSol AccountA
Read-onlyIdempotent
Inspect

Inspect any Solana account: exists or not, SOL balance (lamports), owner program with a readable name, executable flag, data size, rent-exempt minimum and status, and a classification (wallet, token account, mint, program, program data, stake, vote, lookup table, other) with the parsed fields (token amount/mint/owner, mint supply/decimals/authorities, stake delegation...). Public Solana RPC, read-only. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-account

Inputs: address (required).

solana_txSolana TxB
Read-onlyIdempotent
Inspect

Decode a Solana mainnet transaction via public RPC: status, fee, compute units, parsed instructions, inner instructions, account keys, logs. No API key. Unique on Bazaar. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/solana-tx

Inputs: signature (required).

sol_balanceSol BalanceA
Read-onlyIdempotent
Inspect

SOL and SPL token balances (classic SPL Token + Token-2022) for a Solana wallet address, via public Solana RPC. Read-only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-balance

Inputs: address (required), limit, include_zero, include_token2022.

solicited_nodeSolicited NodeA
Read-onlyIdempotent
Inspect

IPv6 solicited-node multicast address, ff02::1:ffXX:XXXX, from the low 24 bits of an IPv6 address or from the last three octets of a MAC. The U/L flip does not change those 24 bits, so the MAC and its SLAAC address share one solicited-node address. Hex groups only; no zone index. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/solicited-node

Inputs: mac, address.

sol_networkSol NetworkA
Read-onlyIdempotent
Inspect

Solana mainnet status in one call: current slot and block height, epoch with progress % and estimated time to the next epoch, average slot time, total and non-vote TPS from recent performance samples, node software version, total and circulating SOL supply, and the current inflation rate. Public Solana RPC, read-only. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-network

Inputs: samples.

sol_pdaSol PdaA
Read-onlyIdempotent
Inspect

Derive Solana program-derived addresses offline: findProgramAddress (canonical bump search) for any program and typed seeds (utf8, base58 pubkey, hex, u8/u16/u32/u64 little- or big-endian), or the associated token account (ATA) of an owner + mint for SPL Token or Token-2022. Same algorithm as @solana/web3.js (sha256 + ed25519 off-curve check). Useful to locate token accounts, Anchor PDAs and vaults without an RPC. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-pda

Inputs: bump, mint, owner, seeds, +3 more.

sol_priority_feesSol Priority FeesA
Read-onlyIdempotent
Inspect

Solana priority-fee estimator from getRecentPrioritizationFees (last ~150 slots), globally or for the accounts your transaction writes to: min / p25 / median / p75 / p90 / p95 / max in micro-lamports per compute unit (all slots and non-zero slots), suggested low / medium / high / very-high compute-unit prices, and the resulting fee in lamports and SOL for your compute-unit limit and signature count. Public Solana RPC, read-only. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-priority-fees

Inputs: accounts, signatures, computeUnits.

sol_signaturesSol SignaturesA
Read-onlyIdempotent
Inspect

Recent transaction signatures that touched a Solana address (wallet, token account, mint or program), newest first, via getSignaturesForAddress: signature, slot, block time and age, success or error, memo and confirmation status, plus a summary (failed count, time span, rough tx/hour). Paginate with before=. Public Solana RPC, read-only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-signatures

Inputs: address (required), limit, before.

sol_token_metaSol Token MetaA
Read-onlyIdempotent
Inspect

Solana SPL / Token-2022 mint metadata: decimals, total supply, mint & freeze authority, Token-2022 extensions, and name/symbol/uri from on-chain metadata (Token-2022 or Metaplex), with Jupiter token list fallback. Read-only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-token-meta

Inputs: mint (required), include_market.

sol_token_riskSol Token RiskA
Read-onlyIdempotent
Inspect

Heuristic risk screen for a Solana token mint: mint/freeze authority, Token-2022 extensions (permanent delegate, transfer hook/fee, default-frozen, pausable...), metadata mutability, holder concentration, DEX liquidity and pair age (DexScreener), Jupiter verification. Returns a 0-100 score with itemised flags. Read-only; not a security guarantee. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-token-risk

Inputs: mint (required), include_holders.

sol_tx_statusSol Tx StatusA
Read-onlyIdempotent
Inspect

Fast confirmation check for up to 100 Solana transaction signatures in one call (getSignatureStatuses with history search): found or not, processed / confirmed / finalized, success or the on-chain error, slot and confirmations, plus counts. Built for agents polling payments or swaps they just sent. Public Solana RPC, read-only. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-tx-status

Inputs: signatures (required), searchHistory.

sol_validatorsSol ValidatorsA
Read-onlyIdempotent
Inspect

Solana validator set from getVoteAccounts: active and delinquent counts, total active stake, Nakamoto coefficient (fewest validators controlling > 33.3% of stake), the top validators by stake with commission, stake %, last vote, root slot and last-epoch vote credits, or one validator by vote or identity key. Cached 5 minutes. Public Solana RPC, read-only. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sol-validators

Inputs: limit, validator.

sopfSopfA
Read-onlyIdempotent
Inspect

The sum of the distinct prime factors of n. 1 gives 0, 8 gives 2, 12 gives 5, and 30 gives 10. A prime gives itself. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sopf

Inputs: n (required).

sopfrSopfrA
Read-onlyIdempotent
Inspect

The sum of prime factors of n with multiplicity. sopfr(1) is 0, sopfr(12) is 7, and sopfr(36) is 10. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sopfr

Inputs: n (required).

sophie_germainSophie GermainA
Read-onlyIdempotent
Inspect

Whether n and 2*n+1 are both prime. 2 gives the safeprime 5, 11 gives 23, and 7 gives 15, which is not prime. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sophie-germain

Inputs: n (required).

sphenicSphenicA
Read-onlyIdempotent
Inspect

Whether n is a product of three distinct primes. 30, 42, 66, and 70 are. 12 and 60 are not, because of the square factor. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sphenic

Inputs: n (required).

sql_formatSql FormatA
Read-onlyIdempotent
Inspect

Format and lint SQL: consistent keyword case, one clause per line, indented select lists, joins, AND/OR conditions and subqueries, comments and string literals preserved; or minify. The linter flags UPDATE/DELETE without WHERE, SELECT *, implicit comma joins, leading-wildcard LIKE, ORDER BY RAND(), NOT IN with subqueries and string-concatenation injection smells, and lists statement types and referenced tables. POST JSON body {sql}. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sql-format

Inputs: sql (required), indent, minify, keywordCase.

sqrt_cfSqrt CfA
Read-onlyIdempotent
Inspect

The continued fraction of sqrt(d): the integer part a0 and the repeating block, comma-separated. sqrt(2) is 1 with block 2. sqrt(19) is 4 with block 2,1,3,1,2,8. A square is rejected. d runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sqrt-cf

Inputs: d (required).

sqrt_periodSqrt PeriodA
Read-onlyIdempotent
Inspect

The period of the continued fraction of sqrt(d). sqrt(2) has period 1, sqrt(3) has period 2, sqrt(7) has period 4, and sqrt(13) has period 5. A square is rejected. d runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sqrt-period

Inputs: d (required).

sqrt_tailSqrt TailA
Read-onlyIdempotent
Inspect

The last term of the repeating block of sqrt(d), which is twice the integer part. sqrt(2) ends in 2, sqrt(3) ends in 2, and sqrt(10) ends in 6. A square is rejected. d runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sqrt-tail

Inputs: d (required).

squarefreeSquarefreeA
Read-onlyIdempotent
Inspect

Whether n is squarefree, together with its radical. 1 and 30 are squarefree. 4 and 12 are not. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/squarefree

Inputs: n (required).

squarefree_countSquarefree CountA
Read-onlyIdempotent
Inspect

How many square-free positive integers are at most n. Through 1 there is 1, through 4 there are 3, through 10 there are 7, and through 20 there are 13. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/squarefree-count

Inputs: n (required).

square_free_partSquare Free PartA
Read-onlyIdempotent
Inspect

n divided by its largest square factor. 12 gives 3, 18 gives 2, 36 gives 1, and 45 gives 5. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/square-free-part

Inputs: n (required).

squarefree_partSquarefree PartA
Read-onlyIdempotent
Inspect

n divided by its largest square divisor. 12 gives 3, 8 gives 2, 18 gives 2, 36 gives 1, and a square-free n gives itself. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/squarefree-part

Inputs: n (required).

square_obstructionSquare ObstructionA
Read-onlyIdempotent
Inspect

Write n = 4^power * odd, with odd not divisible by 4. blocked is true when odd is congruent to 7 mod 8, which is exactly when n is not a sum of three squares. 7 and 28 are blocked. 6 is not. n runs from 0 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/square-obstruction

Inputs: n (required).

square_partSquare PartA
Read-onlyIdempotent
Inspect

The largest square dividing n. 1 gives 1, 8 gives 4, 12 gives 4, and 18 gives 9. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/square-part

Inputs: n (required).

square_sumSquare SumA
Read-onlyIdempotent
Inspect

The sum of the first n squares, n*(n+1)*(2n+1)/6. The sum through 1 is 1, and through 10 is 385. n runs from 0 to 1000000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/square-sum

Inputs: n (required).

ssh_key_infoSsh Key InfoA
Read-onlyIdempotent
Inspect

Inspect SSH public keys and OpenSSH certificates from authorized_keys, known_hosts, .pub, RFC 4716 or PEM input: key type, size / curve, SHA256 and MD5 fingerprints exactly as ssh-keygen prints them, comment and authorized_keys options, FIDO / hardware-backed keys, duplicate detection and a strength verdict (DSA and short RSA flagged); certificates are decoded (user/host, key ID, principals, validity, critical options, extensions, signing CA fingerprint). PEM public keys are converted to OpenSSH format. Private keys are refused. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ssh-key-info

Inputs: keys (required).

ssl_blacklistSsl BlacklistA
Read-onlyIdempotent
Inspect

abuse.ch SSL Blacklist (SSLBL): check whether a TLS certificate SHA1 fingerprint is blacklisted as malware / botnet C&C infrastructure (listing date and reason, e.g. "QuasarRAT C&C"), check an IP against the SSLBL botnet C2 IP list, or list the most recent blacklisted certificates filtered by reason. Several thousand certificates; CC0, commercial use allowed. Cached locally, refreshed every 30 minutes. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ssl-blacklist

Inputs: ip, sha1, limit, since, +1 more.

ssl_cert_infoSsl Cert InfoA
Read-onlyIdempotent
Inspect

Inspect a live TLS certificate: subject, issuer, SANs, validity window, days to expiry, SHA-256 fingerprint, key type/size, full presented chain, negotiated TLS version/cipher, chain trust and RFC 6125 hostname match. Implicit-TLS ports 443/465/587/636/853/993/995/5223/8443. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ssl-cert-info

Inputs: host (required), port.

star_numberStar NumberA
Read-onlyIdempotent
Inspect

The nth star number, 6n(n-1) + 1. The 1st is 1, the 2nd is 13, and the 5th is 121. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/star-number

Inputs: n (required).

stars_barsStars BarsA
Read-onlyIdempotent
Inspect

The number of ways to place n identical items into k distinct bins, which is C(n+k-1, n). Three items in two bins can be placed in 4 ways. n runs from 0 to 1024 and k runs from 1 to 1024. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stars-bars

Inputs: k (required), n (required).

stats_describeStats DescribeA
Read-onlyIdempotent
Inspect

Descriptive statistics for one or many numeric series: count / missing, mean, median, mode, range, sample and population variance / SD, standard error, CV, skewness and excess kurtosis (Excel SKEW / KURT), quartiles, IQR, any percentiles (numpy / PERCENTILE.INC), MAD, geometric and harmonic means, a t confidence interval, Tukey outliers and a histogram (numpy "auto" bins). Several named series also get Pearson and Spearman correlation matrices. Accepts numbers, numeric strings, nulls / "NA" (missing) or objects plus a field name. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stats-describe

Inputs: data (required), bins, field, outlierK, +2 more.

sternSternA
Read-onlyIdempotent
Inspect

Stern's diatomic sequence. s(0) is 0, s(1) is 1, even terms repeat s(n/2), and an odd term is the sum of its two neighbors in the previous row. An optional modulus reduces the term; zero is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stern

Inputs: n (required), mod.

stirling1Stirling1A
Read-onlyIdempotent
Inspect

The signed Stirling number of the first kind s(n, k). s(4, 2) is 11 and s(5, 2) is -50. s(n, 0) is 0 for n > 0. n runs from 0 to 64, and k must not pass n. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stirling1

Inputs: k (required), n (required).

stirling1_recStirling1 RecA
Read-onlyIdempotent
Inspect

One step of s(n, k) = s(n-1, k-1) - (n-1)*s(n-1, k). For n = 5 and k = 2, the previous term is -6, the scaled term is 44, and the value is -50. n runs from 1 to 64 and k from 1 to n. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stirling1-rec

Inputs: k (required), n (required).

stirling1_rowStirling1 RowA
Read-onlyIdempotent
Inspect

Row n of the signed Stirling numbers of the first kind, from s(n, 0) through s(n, n). The absolute values sum to n!. Row 4 is 0, -6, 11, -6, 1. n runs from 0 to 64. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stirling1-row

Inputs: n (required).

stirling1_unsignedStirling1 UnsignedA
Read-onlyIdempotent
Inspect

The unsigned Stirling number of the first kind, the absolute value of s(n, k). It counts permutations of n with k cycles. c(5, 2) is 50 and c(5, 1) is 24. n runs from 0 to 64. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stirling1-unsigned

Inputs: k (required), n (required).

stirling2Stirling2A
Read-onlyIdempotent
Inspect

The Stirling number of the second kind S(n,k), the number of ways to partition n objects into k nonempty unlabeled sets. S(5,2) is 15. S(n,k) is 0 when k is greater than n. n and k run from 0 to 80. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stirling2

Inputs: k (required), n (required).

stirling2_recStirling2 RecB
Read-onlyIdempotent
Inspect

The Stirling recurrence S(n,k) = k*S(n-1,k) + S(n-1,k-1). term is the first summand and diag is the second. n and k run from 1 to 80. Past 15 digits a part is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stirling2-rec

Inputs: k (required), n (required).

stirling2_rowStirling2 RowA
Read-onlyIdempotent
Inspect

Row n of Stirling numbers of the second kind, from S(n,0) through S(n,n), plus the Bell number that sums the row. n runs from 0 to 80. Past 15 digits an entry is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/stirling2-row

Inputs: n (required).

string_caseString CaseA
Read-onlyIdempotent
Inspect

Convert identifiers and phrases between naming conventions: camelCase, PascalCase, snake_case, SCREAMING_SNAKE_CASE, kebab-case, Train-Case, dot.case, path/case, Title Case (small words kept lower), Sentence case, plus URL slugs with accent transliteration. Smart word splitting handles acronyms (HTTPServerError), digits and mixed separators. Up to 100 strings. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/string-case

Inputs: to, text, texts, slugMaxLength, +1 more.

subfactorialSubfactorialA
Read-onlyIdempotent
Inspect

The subfactorial !n, the number of derangements of n objects. !0 is 1, !1 is 0, !2 is 1, and !5 is 44. n runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/subfactorial

Inputs: n (required).

subtraction_grundySubtraction GrundyA
Read-onlyIdempotent
Inspect

The Grundy value of a heap of n in the subtraction game with the given move sizes. With moves 1, 2, and 3, the value of n is n mod 4. n runs from 0 to 500, and there are 1 to 8 moves, each from 1 to 100. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/subtraction-grundy

Inputs: n (required), moves (required).

subtraction_rowSubtraction RowA
Read-onlyIdempotent
Inspect

Grundy values from heap 0 through heap n in a subtraction game, comma-separated. With moves 1, 2, and 3, the row through 8 is 0,1,2,3,0,1,2,3,0. n runs from 0 to 32. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/subtraction-row

Inputs: n (required), moves (required).

subtraction_winSubtraction WinA
Read-onlyIdempotent
Inspect

Whether the player to move wins a subtraction game on a heap of n with perfect play. A win is a nonzero Grundy value. With moves 1, 2, and 3, 5 is a win and 4 is a loss. n runs from 0 to 500. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/subtraction-win

Inputs: n (required), moves (required).

summarize_extractiveSummarize ExtractiveA
Read-onlyIdempotent
Inspect

Extractive summary with TextRank (Mihalcea & Tarau 2004): sentences are split (abbreviation / initial / decimal aware), linked by stemmed content-word overlap, ranked with PageRank, and the top N are returned in original order. No LLM, no hallucination: every summary sentence is verbatim from the input, with its index, score and offset. Choose a sentence count or a ratio. Offline, deterministic; 200 KB input. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/summarize-extractive

Inputs: text (required), ratio, sentences.

sun_timesSun TimesA
Read-onlyIdempotent
Inspect

Sunrise, sunset, solar noon, day length, civil / nautical / astronomical twilight, golden hour and blue hour for any place and date (NOAA solar calculator equations, about a minute of accuracy), with polar day / night handling, observer elevation correction and local times in any IANA zone. Optionally the sun's azimuth and elevation (refraction-corrected) at a given moment. Offline. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/sun-times

Inputs: lat (required), lon (required), at, tz, +2 more.

superabundantSuperabundantA
Read-onlyIdempotent
Inspect

Whether sigma(n)/n is strictly larger than sigma(m)/m for every m below n. The ratio is compared as sigma(n)*m against sigma(m)*n. 1, 2, 4, 6, and 12 are. 3, 8, and 16 are not. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/superabundant

Inputs: n (required).

superfactorialSuperfactorialA
Read-onlyIdempotent
Inspect

The superfactorial sf(n), the product of k! for k from 1 through n. sf(1) is 1, sf(3) is 12, and sf(4) is 288. n runs from 1 to 20. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/superfactorial

Inputs: n (required).

sylvesterSylvesterA
Read-onlyIdempotent
Inspect

The nth Sylvester number. s(0) is 2, and each later term is s*(s-1)+1. A negative index is rejected. n runs up to 8. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/sylvester

Inputs: n (required).

tangent_numberTangent NumberA
Read-onlyIdempotent
Inspect

The nth tangent number. T1 is 1, T2 is 2, T3 is 16, and T4 is 272. It is read from the Bernoulli number B(2n). n runs from 1 to 20. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/tangent-number

Inputs: n (required).

taxicabTaxicabA
Read-onlyIdempotent
Inspect

Whether n has at least two different writings as a sum of two positive cubes. 1729 and 4104 do. 91 and 100 do not. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/taxicab

Inputs: n (required).

taxicab_countTaxicab CountA
Read-onlyIdempotent
Inspect

How many positive integers through n have at least two writings as a sum of two positive cubes. Through 100 there are none, through 1729 there is 1, and through 4104 there are 2. n runs from 0 to 5000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/taxicab-count

Inputs: n (required).

technical_indicatorsTechnical IndicatorsA
Read-onlyIdempotent
Inspect

Technical analysis on a price series you supply: SMA, EMA, RSI (Wilder), MACD (line, signal, histogram), Bollinger Bands (%B, bandwidth), ATR, Stochastic %K/%D, OBV, VWAP and rate of change, with latest values, optional recent series and plain signals (overbought/oversold, MACD cross, trend vs moving average). Closes only, or OHLCV candles. POST JSON body. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/technical-indicators

Inputs: close, period, series, candles, +1 more.

tech_stackTech StackA
Read-onlyIdempotent
Inspect

Lightweight technology fingerprint from public HTML/headers: CMS, frameworks (Next/Nuxt/React/Vue), CDNs, analytics, payments, generator meta, script/stylesheet samples. No invasive probing. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/tech-stack

Inputs: url (required).

ternary_digitTernary DigitA
Read-onlyIdempotent
Inspect

The balanced ternary digit of n in place, counting from 0 at the right, as -1, 0, or 1. For 5, which is "1TT", place 0 and place 1 are -1 and place 2 is 1. A place past the end is 0. n runs from 0 to 999999999999999 and place runs from 0 to 40. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ternary-digit

Inputs: n (required), place (required).

ternary_lenTernary LenA
Read-onlyIdempotent
Inspect

How many balanced ternary digits n uses. 0 uses 1, 5 uses 3, and 14 uses 4. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ternary-len

Inputs: n (required).

ternary_nonzeroTernary NonzeroB
Read-onlyIdempotent
Inspect

How many nonzero balanced ternary digits n uses. 0 has none, 3 has 1, 6 has 2, and 5 has 3. n runs from 0 to 999999999999999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ternary-nonzero

Inputs: n (required).

ternary_valueTernary ValueA
Read-onlyIdempotent
Inspect

The integer written by balanced ternary digits, where T means -1. "0" is 0, "T" is -1, "1T" is 2, "10" is 3, and "1TT" is 5. A bad digit or a leading zero is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/ternary-value

Inputs: digits (required).

tetrahedralTetrahedralA
Read-onlyIdempotent
Inspect

The nth tetrahedral number, n*(n+1)*(n+2)/6. The 5th is 35 and the 8th is 120. n runs from 0 to 1000000. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/tetrahedral

Inputs: n (required).

tetranacciTetranacciA
Read-onlyIdempotent
Inspect

The nth Tetranacci number. T0, T1, and T2 are 0, T3 is 1, and each later term is the sum of the previous four. T(10) is 56. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/tetranacci

Inputs: n (required), mod.

tetranacci_indexTetranacci IndexA
Read-onlyIdempotent
Inspect

The smallest index n with T(n) equal to value. 0 is index 0, and 1 is index 3. A number that is not a Tetranacci term, or a leading zero, is rejected. value is a decimal integer of at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/tetranacci-index

Inputs: value (required).

tetranacci_modTetranacci ModA
Read-onlyIdempotent
Inspect

T(n) mod m for the Tetranacci sequence. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 4096. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/tetranacci-mod

Inputs: n (required), mod (required).

tetranacci_stepTetranacci StepC
Read-onlyIdempotent
Inspect

The Tetranacci step T(n) = T(n-1) + T(n-2) + T(n-3) + T(n-4). a is T(n-4), b is T(n-3), c is T(n-2), and d is T(n-1). n runs from 4 to 4096. Past 15 digits a term is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/tetranacci-step

Inputs: n (required).

tetranacci_sumTetranacci SumA
Read-onlyIdempotent
Inspect

The sum of Tetranacci numbers from lo through hi inclusive. The sum from T0 through T10 is 116. lo must not pass hi. Each index runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/tetranacci-sum

Inputs: hi (required), lo (required).

text_blockText BlockA
Read-onlyIdempotent
Inspect

Wrap a Helvetica block and give its height. Line breaking is the same as text-wrap. Leading defaults to 1.2 times the font size, rounded half away from zero to 0.001 pt. Block height is the line count times the leading, and a blank line from a hard break counts. An empty string has height zero. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/text-block

Inputs: text (required), width (required), font, size, +1 more.

text_chunkText ChunkA
Read-onlyIdempotent
Inspect

Split text into retrieval-ready chunks for RAG and embeddings: recursive (paragraph > line > sentence > clause > word), markdown-aware (splits on headings, keeps the heading path per chunk, respects code fences), sentence, or fixed windows; sized in estimated tokens or characters with overlap. Returns each chunk with Unicode start/end offsets, character and token estimates, plus totals. Deterministic and offline; 200 KB input. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/text-chunk

Inputs: text (required), unit, overlap, strategy, +2 more.

text_cleanText CleanA
Read-onlyIdempotent
Inspect

Clean and normalise messy text before embedding, indexing or prompting: repairs mojibake (UTF-8 read as Windows-1252), strips control and invisible characters (zero-width, bidi overrides used in Trojan Source attacks, soft hyphens, BOM), normalises exotic whitespace, curly quotes, dashes, ligatures and full-width forms, re-joins words hyphenated across line breaks, optionally unwraps hard-wrapped lines, strips HTML, decodes entities, removes emoji / URLs / emails, transliterates to ASCII or lowercases. Reports how many fixes of each kind were made. Offline; 500 KB. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/text-clean

Inputs: text (required), ascii, fullwidth, ligatures, +14 more.

text_diffText DiffA
Read-onlyIdempotent
Inspect

Diff two texts: unified line diff byte-compatible with GNU diff -u (hunks, context, "No newline at end of file"), or word-level / character-level diff with [-removed-]{+added+} inline markup and merged ops. Myers shortest edit script with a patience fallback for very different inputs; options to ignore whitespace, case and CRLF/LF. Returns added/removed/unchanged counts and a similarity ratio. Offline; 20,000 lines or tokens per text. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/text-diff

Inputs: a (required), b (required), mode, a_label, +5 more.

text_ellipsisText EllipsisA
Read-onlyIdempotent
Inspect

Cut one Helvetica line so it fits a width, ending with an ellipsis (…) when the text is too long. The ellipsis is the WinAnsi character. If the whole line already fits, it is returned unchanged. If even the ellipsis is wider than the measure, the call is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/text-ellipsis

Inputs: text (required), width (required), font, size.

text_fitText FitA
Read-onlyIdempotent
Inspect

Largest Helvetica size, on a fixed step, at which one line still fits a width. Sizes run from minSize to maxSize in steps (defaults 6, 72 and 0.5 points). Empty text fits at maxSize. If the line does not fit at minSize, the call is rejected. Width uses the same AFM rounding as text-width, so the size is not a float division of the two widths. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/text-fit

Inputs: text (required), width (required), font, step, +2 more.

text_similarityText SimilarityA
Read-onlyIdempotent
Inspect

Document similarity and near-duplicate detection: compare two texts (a, b) or cluster up to 200 texts. Metrics: TF-IDF cosine on stemmed content words, word Jaccard, k-word shingle Jaccard and containment, 64-bit SimHash with Hamming distance, and character edit ratio for short texts, plus a verdict (identical / near-duplicate / similar / related / different). Batch mode returns the most similar pairs and duplicate clusters. Offline, deterministic. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/text-similarity

Inputs: a, b, texts, minScore, +2 more.

text_statsText StatsA
Read-onlyIdempotent
Inspect

Text statistics: characters, words, unique words, sentences, paragraphs, reading/speaking time, Flesch readability (English), language detection (27 languages/scripts), top keywords. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/text-stats

Inputs: text (required), top, wpm.

text_widthText WidthA
Read-onlyIdempotent
Inspect

Width of one line in Helvetica or Helvetica-Bold, in points. Glyph widths are the Adobe standard-14 AFM numbers in WinAnsi (the same numbers ReportLab ships). The width is the sum times the font size, rounded half away from zero to 0.001 pt. Characters outside that encoding, and control characters, are rejected. A newline belongs in text-wrap. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/text-width

Inputs: text (required), font, size.

text_wrapText WrapA
Read-onlyIdempotent
Inspect

Wrap text to a measure in Helvetica or Helvetica-Bold. Hard breaks are LF, CR, or CRLF. Inside a paragraph, spaces collapse to one and leading and trailing spaces are dropped. A word moves to the next line when it does not fit. A word wider than the whole measure breaks between characters, and those lines are marked broken. The width of each line uses the same AFM rounding as text-width. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/text-wrap

Inputs: text (required), width (required), font, size.

thabitThabitA
Read-onlyIdempotent
Inspect

The nth Thabit number, 3*2^n - 1. n=0 gives 2, n=1 gives 5, and n=2 gives 11. n runs from 0 to 256. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/thabit

Inputs: n (required).

three_squaresThree SquaresA
Read-onlyIdempotent
Inspect

Whether n is a sum of three integer squares, and one nonnegative witness x <= y <= z when it is. It is impossible exactly when n = 4^power * odd with odd congruent to 7 mod 8. 3 is 1, 1, 1. 7 is impossible. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/three-squares

Inputs: n (required).

thue_cubeThue CubeA
Read-onlyIdempotent
Inspect

Find a cube in a 0/1 string, a block xxx. 000 is a cube at index 0 of length 1. A Thue-Morse prefix has no cube. An empty string or a character other than 0 or 1 is rejected. The string stops at 512 characters. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/thue-cube

Inputs: bits (required).

thue_morseThue MorseA
Read-onlyIdempotent
Inspect

The nth Thue-Morse bit, the parity of the number of 1-bits in n. t(0) is 0, t(1) is 1, and t(2) is 1. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/thue-morse

Inputs: n (required).

thue_prefixThue PrefixA
Read-onlyIdempotent
Inspect

The first n Thue-Morse bits as a string of 0 and 1. The first 8 bits are 01101001. n runs from 1 to 4096. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/thue-prefix

Inputs: n (required).

thue_sumThue SumA
Read-onlyIdempotent
Inspect

The number of 1-bits in the Thue-Morse sequence from lo through hi inclusive. The sum from t(0) through t(7) is 4. lo must not pass hi. Each index runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/thue-sum

Inputs: hi (required), lo (required).

thue_weightThue WeightB
Read-onlyIdempotent
Inspect

The number of 1s in t(0) through t(n), and the bit t(n) itself. Through n = 7 the weight is 4. n runs from 0 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/thue-weight

Inputs: n (required).

ticker_resolverTicker ResolverA
Read-onlyIdempotent
Inspect

Resolve a stock ticker (or CIK) to the SEC CIK, registrant name, exchange and sibling share classes from SEC EDGAR's company_tickers_exchange list, plus the issuer's Legal Entity Identifier (LEI) from GLEIF matched by normalised legal name, with match confidence, registration status, jurisdiction and alternatives. BRK.B / BRK-B forms accepted. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/ticker-resolver

Inputs: cik, lei, ticker.

timecode_addTimecode AddA
Read-onlyIdempotent
Inspect

Add a signed frame count to a timecode and stay inside the same day. A result before midnight or at the next midnight is rejected. The semicolon, if present, keeps the result in drop-frame. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/timecode-add

Inputs: add (required), code (required), rate.

timecode_diffTimecode DiffA
Read-onlyIdempotent
Inspect

How many frames from one timecode to another, at the same rate. Positive means to is later. Both codes use a colon, or both use a semicolon. Mixing drop-frame with non-drop is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/timecode-diff

Inputs: to (required), from (required), rate.

timecode_durationTimecode DurationA
Read-onlyIdempotent
Inspect

Exact length of a frame count. 24, 25 and non-drop 30 use 1/rate second per frame. Drop-frame 30 uses the NTSC frame, 1001/30000 second. Pass a timecode or a frame count, not both. The semicolon selects drop-frame when you pass a code. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/timecode-duration

Inputs: code, drop, rate, frames.

timecode_framesTimecode FramesA
Read-onlyIdempotent
Inspect

Count the frames in an SMPTE timecode from midnight. Rates are 24, 25 and 30. A colon is non-drop and a semicolon is drop-frame, which is only legal at 30. Drop-frame skips 00 and 01 at the start of each minute except every tenth minute, so 01:00:00;00 is frame 107892 rather than 108000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/timecode-frames

Inputs: code (required), rate.

timestamp_convertTimestamp ConvertB
Read-onlyIdempotent
Inspect

Convert any timestamp: auto-detects Unix seconds / milliseconds / microseconds / nanoseconds, ISO 8601 / RFC 3339, RFC 2822, HTTP dates, Excel serial dates and "now", and returns all of them plus local time in any IANA time zone, ISO week, day of year, Julian day, a relative "3 days ago" phrase and Snowflake-style IDs decoding (Discord/Twitter) when asked. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/timestamp-convert

Inputs: value (required), tz, unit.

timezone_convertTimezone ConvertA
Read-onlyIdempotent
Inspect

Convert a time between IANA time zones with DST awareness: local time, UTC offset, abbreviation and DST flag on both sides, the offset difference and day shift, and each zone's next DST/offset transition (when, which way, how much). Flags nonexistent (spring-forward gap) and ambiguous (fall-back) wall times. Accepts ISO 8601, HH:MM, epoch seconds/milliseconds or "now"; up to 10 target zones. Offline (PHP's bundled tz database). Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/timezone-convert

Inputs: to_zone (required), time, from_zone.

token_unitsToken UnitsA
Read-onlyIdempotent
Inspect

Exact (string-math, no floating point) conversion between human token amounts and on-chain base units: wei / gwei / ether, lamports / SOL, sats / BTC, USDC/USDT (6 decimals) or any token with a decimals value. Returns the converted amount, the integer base units (decimal and hex) and every unit of the family. Accepts decimals, scientific notation and 0x-hex raw amounts. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/token-units

Inputs: to (required), from (required), amount (required), decimals.

totientTotientA
Read-onlyIdempotent
Inspect

Euler totient phi(n), the count of integers from 1 to n that are coprime to n. phi(1) is 1. n = 0 is rejected. n runs up to 10^12. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/totient

Inputs: n (required).

totient_sumTotient SumA
Read-onlyIdempotent
Inspect

The sum of Euler totients from 1 through n. Through 1 it is 1, through 5 it is 10, and through 10 it is 32. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/totient-sum

Inputs: n (required).

totpTotpA
Read-onlyIdempotent
Inspect

TOTP / HOTP two-factor codes (RFC 6238 / 4226), compatible with Google Authenticator, Authy, 1Password and pyotp: generate the current code (plus previous / next and seconds remaining), verify a code with a drift window, create a new base32 secret with its otpauth:// URI for QR enrolment, or parse an otpauth URI. SHA1 / SHA256 / SHA512, 6–8 digits, any period; set time for reproducible results or counter for HOTP. POST so secrets never appear in URLs; secrets are not stored. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/totp

Inputs: uri, code, mode, time, +9 more.

treasury_ratesTreasury RatesA
Read-onlyIdempotent
Inspect

US Treasury rates: the daily par yield curve (1M-30Y, from treasury.gov) with day-over-day change in bp, 2s10s spread and 3m10y inversion flag, optional TIPS real yield curve, plus Debt to the Penny (total public debt, debt held by the public, intragovernmental holdings) from the Fiscal Data API. Latest by default or as of a past date. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/treasury-rates

Inputs: date, debt, curve.

triangle_shapeTriangle ShapeA
Read-onlyIdempotent
Inspect

Classify a strict integer triangle. sides is equilateral, isosceles, or scalene. angles is acute, right, or obtuse, from comparing the squares of the sides. A degenerate triple is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/triangle-shape

Inputs: a (required), b (required), c (required).

trib_indexTrib IndexA
Read-onlyIdempotent
Inspect

The smallest index n with T(n) equal to value. 0 is index 0, and 1 is index 2. A number that is not a Tribonacci term, or a leading zero, is rejected. value is a decimal integer of at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trib-index

Inputs: value (required).

trib_modTrib ModA
Read-onlyIdempotent
Inspect

T(n) mod m. The modulus is a positive decimal integer, and zero is rejected. n runs from 0 to 4096. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trib-mod

Inputs: n (required), mod (required).

tribonacciTribonacciA
Read-onlyIdempotent
Inspect

The nth Tribonacci number. T0 and T1 are 0, T2 is 1, and each later term is the sum of the previous three. An optional modulus reduces the term, and zero is rejected. n runs from 0 to 4096. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/tribonacci

Inputs: n (required), mod.

trib_stepTrib StepA
Read-onlyIdempotent
Inspect

The Tribonacci step T(n) = T(n-1) + T(n-2) + T(n-3). left is T(n-3), mid is T(n-2), and right is T(n-1). n runs from 3 to 4096. Past 15 digits a term is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trib-step

Inputs: n (required).

trib_sumTrib SumA
Read-onlyIdempotent
Inspect

The sum of Tribonacci numbers from lo through hi inclusive. The sum from T0 through T10 is 177. lo must not pass hi. Each index runs from 0 to 4096. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trib-sum

Inputs: hi (required), lo (required).

trimorphicTrimorphicA
Read-onlyIdempotent
Inspect

Whether n^3 ends with n. 1, 4, 5, 6, 9, 25, 49, 76, 125, and 999 do. 10 does not. n runs from 1 to 10000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trimorphic

Inputs: n (required).

trinomialTrinomialA
Read-onlyIdempotent
Inspect

The central trinomial coefficient T(n), the coefficient of x^n in (1+x+x^2)^n. T(0) and T(1) are 1, T(2) is 3, T(4) is 19, T(5) is 51, and T(10) is 8953. n runs from 0 to 30. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trinomial

Inputs: n (required).

trinomial_modTrinomial ModB
Read-onlyIdempotent
Inspect

T(n) modulo m. T(5) mod 10 is 1, T(6) mod 100 is 41, and T(4) mod 5 is 4. n runs from 0 to 30 and m runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trinomial-mod

Inputs: m (required), n (required).

trinomial_primeTrinomial PrimeA
Read-onlyIdempotent
Inspect

Whether T(n) is prime. T(2), T(3), and T(4) are prime. T(0), T(1), T(5), and T(6) are not. n runs from 0 to 30. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trinomial-prime

Inputs: n (required).

trinomial_sumTrinomial SumA
Read-onlyIdempotent
Inspect

The sum of the central trinomial coefficients T(0) through T(n). Through 0 it is 1, through 1 it is 2, through 3 it is 12, and through 5 it is 82. n runs from 0 to 30. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trinomial-sum

Inputs: n (required).

trinomial_termTrinomial TermA
Read-onlyIdempotent
Inspect

The summand C(n,2k)*C(2k,k) of the central trinomial coefficient. For n=5 the summands are 1, 20, and 30. A k past n/2 is 0. n runs from 0 to 30 and k runs from 0 to 15. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/trinomial-term

Inputs: k (required), n (required).

triperfectTriperfectA
Read-onlyIdempotent
Inspect

Whether sigma(n) = 3*n. 120 and 672 are triperfect. 6 and 28 are perfect, so they are not. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/triperfect

Inputs: n (required).

twin_primeTwin PrimeA
Read-onlyIdempotent
Inspect

Whether n and n+2 are both prime. 3 pairs with 5, 5 pairs with 7, and 7 does not pair with 9. n runs from 1 to 1000000000000. The partner is n+2. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/twin-prime

Inputs: n (required).

two_cubesTwo CubesA
Read-onlyIdempotent
Inspect

How many ways n is a sum of two positive cubes, ignoring order and allowing the two cubes to be equal. 2 has 1, 9 has 1, 91 has 1, and 1729 has 2. n runs from 0 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/two-cubes

Inputs: n (required).

two_squaresTwo SquaresA
Read-onlyIdempotent
Inspect

How many integer pairs (x, y), counting order and signs, satisfy x^2 + y^2 = n. There is 1 for 0, 4 for 1, and 8 for 5. n runs from 0 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/two-squares

Inputs: n (required).

two_squares_pairTwo Squares PairA
Read-onlyIdempotent
Inspect

Nonnegative integers x and y with x <= y and x^2 + y^2 = n, choosing the greatest y. 5 is 1 and 2. 25 is 0 and 5. A number that is not a sum of two squares is rejected. n runs from 0 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/two-squares-pair

Inputs: n (required).

umask_modeUmask ModeA
Read-onlyIdempotent
Inspect

Mode of a file or directory created under a umask. A file starts from 666 and a directory from 777, then the umask bits are cleared. 022 makes a file 644 and a directory 755. masked lists the bits the umask turns off. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/umask-mode

Inputs: umask (required), kind.

unitary_countUnitary CountA
Read-onlyIdempotent
Inspect

How many unitary divisors n has. The count is 2 to the number of distinct prime factors, and 1 has one unitary divisor. 7 has 2, 12 has 4, and 30 has 8. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/unitary-count

Inputs: n (required).

unitary_sigmaUnitary SigmaA
Read-onlyIdempotent
Inspect

The sum of the unitary divisors of n. A unitary divisor shares no prime factor with the complementary divisor. The sum is 1 for 1, 12 for 6, 20 for 12, and 72 for 30. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/unitary-sigma

Inputs: n (required).

unit_convertUnit ConvertA
Read-onlyIdempotent
Inspect

Unit conversion across 14 categories with exact defined factors: length, mass, volume (US and imperial), area, speed, time, data (SI kB vs IEC KiB, bits vs bytes), pressure, energy, power, angle, frequency, temperature (C, F, K, Rankine) and fuel economy (mpg US/UK, L/100 km, km/L). Common names and abbreviations accepted; optionally lists the value in every unit of the category. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/unit-convert

Inputs: from (required), value (required), to, all, +1 more.

unit_economicsUnit EconomicsA
Read-onlyIdempotent
Inspect

SaaS / subscription unit economics: customer lifetime value (margin-adjusted), LTV:CAC ratio, CAC payback months, average lifetime, MRR/ARR, break-even customer count and cash runway, with health ratings against common benchmarks (LTV:CAC >= 3, payback <= 12 months). For startups, API businesses and agent services. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/unit-economics

Inputs: arpuMonthly (required), monthlyChurnPct (required), cac, customers, +4 more.

unit_sumUnit SumA
Read-onlyIdempotent
Inspect

The reduced sum of unit fractions 1/d. Dens must be positive. An empty list or a non-positive denominator is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/unit-sum

Inputs: dens (required).

url_markdownUrl MarkdownA
Read-onlyIdempotent
Inspect

Fetch a public HTML page and convert main/article content to Markdown (Turndown). Scripts/styles stripped; output capped. Good for RAG/agent ingestion. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/url-markdown

Inputs: url (required).

url_parseUrl ParseA
Read-onlyIdempotent
Inspect

Parse, normalize and clean URLs offline: scheme, credentials (redacted), host type, port, path segments, decoded query parameters and fragment; registrable domain / subdomain / public suffix; IDN to punycode and back; RFC 3986 normalization (case, default ports, dot segments, percent-encoding) plus optional removal of known click-tracking parameters (utm_*, gclid, fbclid, msclkid, _hsenc, mc_eid...), query sorting and fragment stripping; flags URL shorteners. Up to 50 URLs. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/url-parse

Inputs: url, urls, sortQuery, dropFragment, +1 more.

usaspending_awardsUsaspending AwardsA
Read-onlyIdempotent
Inspect

Federal contracts, IDVs, grants, loans and direct payments from USAspending.gov by recipient, awarding agency (name or abbreviation such as DOD, NASA, HHS), NAICS code or keyword, for a date range (default last 12 months). Returns the top awards by amount or start date with award id, recipient and UEI, amount, outlays, dates, agency and sub-agency, award type, NAICS/PSC and a link, plus the total matching award count. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/usaspending-awards

Inputs: to, from, page, sort, +6 more.

user_agent_parseUser Agent ParseA
Read-onlyIdempotent
Inspect

Parse User-Agent strings: browser and version, rendering engine, OS and version, device type (mobile, tablet, desktop, TV, console, bot) with vendor/model, and bot detection that names 100+ crawlers and HTTP clients by operator and category, including AI crawlers and AI assistants (GPTBot, ClaudeBot, PerplexityBot, Bytespider, CCBot, meta-externalagent...), search, social, SEO and monitoring bots and scripted clients (curl, python-requests, headless Chrome). Up to 50 UAs per call. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/user-agent-parse

Inputs: ua, uas.

us_macroUs MacroA
Read-onlyIdempotent
Inspect

US macro dashboard from BLS in one call: CPI and core CPI, unemployment, nonfarm payrolls, hourly earnings, participation, PPI and JOLTS openings. Latest value, month, MoM / YoY change and 13-month history. Includes BLS retrieval date and disclaimer. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/us-macro

Inputs: history, indicators.

validate_batchValidate BatchA
Read-onlyIdempotent
Inspect

Offline format validator for up to 100 values: email, URL, IPv4/IPv6, domain, UUID (version/variant), credit card (Luhn + brand, number masked in output), IBAN (mod-97 + country length), phone (E.164), JSON, base64/base64url. POST JSON body only (never in the URL): single {"type","value"} or batch {"items":[{"type","value"},...]}. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/validate-batch

Inputs: type, items, value.

vampireVampireA
Read-onlyIdempotent
Inspect

Whether n is a vampire number. 1260, 1395, 1435, and 6880 are. 1000 and 1261 are not. n runs from 1 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/vampire

Inputs: n (required).

vampire_countVampire CountA
Read-onlyIdempotent
Inspect

How many vampire numbers are at most n. Through 1259 there are none, through 1500 there are 3, through 2187 there are 6, and through 6880 there are 7. n runs from 1 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/vampire-count

Inputs: n (required).

vampire_fangsVampire FangsA
Read-onlyIdempotent
Inspect

The smaller-first fang pair of a vampire number, comma-separated. 1260 gives "21,60" and 6880 gives "80,86". A non-vampire is rejected. n runs from 1 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/vampire-fangs

Inputs: n (required).

vampire_lowVampire LowA
Read-onlyIdempotent
Inspect

The smaller fang of a vampire number. 1260 gives 21, 1395 gives 15, and 6880 gives 80. A non-vampire is rejected. n runs from 1 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/vampire-low

Inputs: n (required).

vampire_nextVampire NextA
Read-onlyIdempotent
Inspect

The smallest vampire number that is at least n. 1000 and 1260 give 1260, 1261 gives 1395, and 2188 gives 6880. n runs from 1 to 9999. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/vampire-next

Inputs: n (required).

vandermondeVandermondeA
Read-onlyIdempotent
Inspect

The Vandermonde convolution. The sum of C(m, k)*C(n, r-k) equals C(m+n, r). For m = 3, n = 3, and r = 2 the value is 15. m and n run from 0 to 256, and r must not pass m+n. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/vandermonde

Inputs: m (required), n (required), r (required).

vin_decodeVin DecodeA
Read-onlyIdempotent
Inspect

Decode a 17-character Vehicle Identification Number: offline structure check (allowed characters, ISO 3779 check digit, region and WMI, model-year code) plus NHTSA vPIC decoding (make, model, model year, trim, body class, vehicle type, doors, drive type, engine cylinders/displacement/fuel, transmission, manufacturer, plant city/country, GVWR, safety equipment) and optional open NHTSA safety recalls for that make/model/year. Public US government data. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/vin-decode

Inputs: vin (required), year, recalls.

visible_pointsVisible PointsA
Read-onlyIdempotent
Inspect

How many lattice points (x, y) with 1 <= x,y <= n are visible from the origin, meaning gcd(x, y) = 1. The 1-square has 1, the 2-square has 3, and the 5-square has 19. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/visible-points

Inputs: n (required).

voltage_dividerVoltage DividerA
Read-onlyIdempotent
Inspect

Unloaded voltage divider. r1 is the top resistor, from the supply to the output. r2 is the bottom resistor, from the output to ground. Returns the output voltage, the string current, and the power in each resistor as exact rationals. Both resistors must be positive. A zero supply gives zero output, zero current and zero power. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/voltage-divider

Inputs: r1 (required), r2 (required), vin (required).

von_staudtVon StaudtA
Read-onlyIdempotent
Inspect

The von Staudt-Clausen integer. For even m at least 2, B(m) plus the sum of 1/p over primes p with p-1 dividing m is an integer. For m = 2, 4, 6, and 10 that integer is 1. An odd m is rejected. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/von-staudt

Inputs: m (required).

wage_calcWage CalcA
Read-onlyIdempotent
Inspect

Gross pay in exact cents. Hourly: regular hours at the rate, overtime hours at a multiplier (default 1.5) and double-time hours at a multiplier (default 2). Weekly: hours above the threshold (default 40) are overtime. Salary: the annual amount is split across 52, 26, 24 or 12 periods so the paychecks add back to the annual amount. Extra straight-time hours are paid at annual / 2080 (52 × 40). Overtime and double-time hours use that same base rate times their multipliers. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/wage-calc

Inputs: rate (required), mode, hours, dtHours, +6 more.

wagstaffWagstaffA
Read-onlyIdempotent
Inspect

The Wagstaff number (2^p + 1)/3 for an odd prime p. p=3 gives 3, p=5 gives 11, and p=7 gives 43. An even number or a composite is rejected. p runs from 3 to 127. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wagstaff

Inputs: p (required).

wagstaff_primeWagstaff PrimeA
Read-onlyIdempotent
Inspect

Whether the Wagstaff number (2^p + 1)/3 is prime. p=3, 5, 7, and 31 are. p=29 is not. An even number or a composite is rejected. p runs from 3 to 31. This checks the given prime. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wagstaff-prime

Inputs: p (required).

wallet_risk_basicWallet Risk BasicA
Read-onlyIdempotent
Inspect

Basic heuristic risk screen for a Solana or EVM (Ethereum/Base/Arbitrum) wallet: activity & age, bundled OFAC-SDN / mixer list matches for the address and recent counterparties, and (EVM) live token-approval exposure (unlimited allowances, approvals to EOAs or flagged spenders). Read-only; heuristic only, not a compliance determination or security guarantee. Price: $0.02 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/wallet-risk-basic

Inputs: address (required), deep, chain, lookback_blocks.

waybackWaybackA
Read-onlyIdempotent
Inspect

Check Internet Archive Wayback Machine availability for a URL (closest snapshot timestamp + archived URL). Public availability API. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/wayback

Inputs: url (required).

weather_globalWeather GlobalA
Read-onlyIdempotent
Inspect

Worldwide weather forecast for any latitude/longitude from MET Norway Locationforecast 2.0 (the Norwegian Meteorological Institute; CC BY 4.0): current conditions (temperature, humidity, wind speed and direction, pressure, cloud cover, next-hour precipitation, condition text) and up to 9 daily summaries (min/max, precipitation total, max wind, dominant condition), optional hourly series, metric or imperial units, local-time grouping by any IANA zone. Cached per MET Norway Expires headers. Use /v1/weather-nws for US NWS alerts. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/weather-global

Inputs: lat (required), lon (required), tz, days, +3 more.

weather_nwsWeather NwsA
Read-onlyIdempotent
Inspect

US weather from the National Weather Service for a latitude/longitude: 7-day (or hourly) forecast periods with temperature, precipitation chance, wind and text forecast, plus all active NWS watches, warnings and advisories for that point. US states, territories and coastal waters only. Price: $0.01 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/weather-nws

Inputs: lat (required), lon (required), units, hourly.

webhook_verifyWebhook VerifyA
Read-onlyIdempotent
Inspect

Verify (or create) webhook signatures for Stripe, GitHub, Slack, Shopify, Twilio, Standard Webhooks / Svix, Paddle, Square, Zoom, Mailgun, Intercom, Linear, Typeform and HubSpot v3, or any generic HMAC scheme — the step agents get wrong when wiring up webhook receivers. Pass the raw body, the received headers (or just the signature) and the signing secret: returns valid, the timestamp age against a replay tolerance, and on failure a diagnosis (body re-serialised or trimmed, wrong secret format, hex vs base64, stale timestamp). mode=sign produces the exact headers a provider would send, for testing receivers. Constant-time comparison; the secret is never echoed. Price: $0.002 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/webhook-verify

Inputs: secret (required), payload (required), provider (required), id, +12 more.

web_to_textWeb To TextA
Read-onlyIdempotent
Inspect

Fetch a public web page and return its main content as clean plain text (boilerplate stripped, lists as bullets, tables tab-separated) plus title, description, language, word count. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/web-to-text

Inputs: url (required), mode, max_chars.

wedderburnWedderburnA
Read-onlyIdempotent
Inspect

The nth Wedderburn-Etherington number. a(1) is 1, and a(1) through a(6) are 1, 1, 1, 2, 3, 6. Even and odd indices use the binary-tree split, with the middle term only on an even index. n runs from 1 to 80. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wedderburn

Inputs: n (required).

wedderburn_indexWedderburn IndexA
Read-onlyIdempotent
Inspect

The smallest index n with Wedderburn-Etherington number a(n) equal to value. 1 is index 1, and 6 is index 6. A number that is not a term, or a leading zero, is rejected. value is a decimal integer of at most 600 digits. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wedderburn-index

Inputs: value (required).

wedderburn_modWedderburn ModA
Read-onlyIdempotent
Inspect

a(n) mod m for the Wedderburn-Etherington numbers. The modulus is a positive decimal integer, and zero is rejected. n runs from 1 to 80. The residue is smaller than the modulus. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wedderburn-mod

Inputs: n (required), mod (required).

wedderburn_splitWedderburn SplitA
Read-onlyIdempotent
Inspect

The Wedderburn-Etherington split of n. cross is the sum of a(i)a(n-i) over the pairs below the middle, and middle is a(k)(a(k)+1)/2 when n = 2k and 0 when n is odd. n = 6 gives cross 5, middle 1, and value 6. n runs from 1 to 80. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wedderburn-split

Inputs: n (required).

wedderburn_sumWedderburn SumA
Read-onlyIdempotent
Inspect

The sum of Wedderburn-Etherington numbers from lo through hi inclusive. The sum from a(1) through a(6) is 14. lo must not pass hi. Each index runs from 1 to 80. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wedderburn-sum

Inputs: hi (required), lo (required).

weirdWeirdA
Read-onlyIdempotent
Inspect

Whether n is weird: abundant, but not semiperfect. 70 is weird, and so is 836. 12 is abundant but semiperfect, so it is not weird. n runs from 1 to 20000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/weird

Inputs: n (required).

wikipediaWikipediaA
Read-onlyIdempotent
Inspect

Wikipedia in one call: search any of 340+ language editions (titles, descriptions, snippets, thumbnails) and get the top hit's summary, or fetch a summary by exact title. Returns title, short description, lead extract, canonical URL, thumbnail/lead image, Wikidata id, coordinates and last-modified, with the CC BY-SA attribution block. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/wikipedia

Inputs: q, lang, limit, title, +1 more.

wilson_primeWilson PrimeA
Read-onlyIdempotent
Inspect

Whether p^2 divides (p-1)! + 1. Inside this cap, 5 and 13 do, and 2, 3, 7, 11, and 17 do not. A composite is rejected. p runs from 2 to 100. This checks the given prime. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wilson-prime

Inputs: p (required).

wilson_quotientWilson QuotientA
Read-onlyIdempotent
Inspect

The Wilson quotient ((p-1)! + 1) / p for a prime p. The quotient of 5 is 5, of 7 is 103, and of 13 is 36846277. A composite is rejected. p runs from 2 to 100. This checks the given prime. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wilson-quotient

Inputs: p (required).

woodallWoodallA
Read-onlyIdempotent
Inspect

The nth Woodall number, n*2^n - 1. The 1st is 1, the 2nd is 7, and the 3rd is 23. n runs from 1 to 256. Past 15 digits the value is a decimal string. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/woodall

Inputs: n (required).

wythoffWythoffA
Read-onlyIdempotent
Inspect

The nth lower Wythoff number, floor(n*phi), where phi is (1+sqrt(5))/2. A(1) is 1, A(2) is 3, and A(5) is 8. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wythoff

Inputs: n (required).

wythoff_inverseWythoff InverseA
Read-onlyIdempotent
Inspect

Which Wythoff sequence contains m, and at which index. 1 is the lower number at index 1. 2 is the upper number at index 1. Every positive integer is in exactly one sequence. m runs from 1 to 1600000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wythoff-inverse

Inputs: m (required).

wythoff_kindWythoff KindA
Read-onlyIdempotent
Inspect

Which Wythoff sequence contains m, and the index. 1 is lower index 1. 2 is upper index 1. 4 is lower index 3. 5 is upper index 2. m runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wythoff-kind

Inputs: m (required).

wythoff_lowerWythoff LowerA
Read-onlyIdempotent
Inspect

The lower Wythoff number floor(n*phi), phi the golden ratio. n=1 gives 1, n=2 gives 3, n=5 gives 8, and n=10 gives 16. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wythoff-lower

Inputs: n (required).

wythoff_pairWythoff PairA
Read-onlyIdempotent
Inspect

The nth Wythoff pair. lower is floor(n*phi) and upper is lower+n. The pair for n = 1 is 1 and 2. The pair for n = 5 is 8 and 13. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wythoff-pair

Inputs: n (required).

wythoff_sumWythoff SumA
Read-onlyIdempotent
Inspect

The sum of the lower Wythoff numbers from index 1 through n. Through 1 it is 1, through 5 it is 22, and through 10 it is 84. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wythoff-sum

Inputs: n (required).

wythoff_upperWythoff UpperA
Read-onlyIdempotent
Inspect

The nth upper Wythoff number, floor(n*phi^2), which is A(n)+n. B(1) is 2, B(2) is 5, and B(5) is 13. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/wythoff-upper

Inputs: n (required).

x402_probeX402 ProbeA
Read-onlyIdempotent
Inspect

x402 preflight for AI agents: inspect any paid endpoint BEFORE paying. Fetches the unpaid 402, decodes PAYMENT-REQUIRED (v2 header or v1 body), normalises price to USD, lists networks/assets/payTo/feePayer, validates the offer and Bazaar discovery schema, checks PayAI and Coinbase CDP discovery listing, and returns an OK/RISKY/BROKEN verdict. Never pays the target. Price: $0.005 USDC per successful call (x402, Solana). Same tool over HTTPS: GET https://scorptech.it.com/api/x402/v1/x402-probe

Inputs: url (required), body, method.

x509_decodeX509 DecodeA
Read-onlyIdempotent
Inspect

Decode PEM/DER X.509 certificates, chains and CSRs offline: subject/issuer DN, serial, validity and days left, SANs, key type/size/curve, signature algorithm, key usage / EKU / basic constraints, AKI/SKI, OCSP / CA-issuer / CRL URLs, policies and embedded SCT count, SHA-1/SHA-256 fingerprints and SPKI pin; verifies each chain link signature and order, flags self-signed, expired / expiring, weak keys, SHA-1 signatures and over-long lifetimes, and checks hostname coverage (RFC 6125 wildcards). Private keys are refused. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/x509-decode

Inputs: pem (required), hostname.

xml_xpathXml XpathA
Read-onlyIdempotent
Inspect

Run XPath 1.0 queries over XML you supply (RSS/Atom, SOAP, sitemaps, SVG, config) or over HTML for scraping: returns matched elements/attributes/text with their paths, text, attributes and outer markup, or the number/string/boolean result of an expression. Namespaces are auto-registered (default namespace as prefix d). Safe parser: no network, no external entities, DTD entities rejected. POST JSON body {xml or html, xpath}. Price: $0.003 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/xml-xpath

Inputs: xml, html, limit, xpath, +3 more.

zeckendorfZeckendorfB
Read-onlyIdempotent
Inspect

The Zeckendorf representation of n. Fibonacci numbers start F1 = 1, F2 = 1, F3 = 2, and no two used indices are consecutive. 4 is F4 + F2, and 100 is F11 + F6 + F4. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zeckendorf

Inputs: n (required).

zeckendorf_bitsZeckendorf BitsA
Read-onlyIdempotent
Inspect

The Zeckendorf bit string of n, from the largest used Fibonacci index down to F2. The bit string of 1 is 1, of 4 is 101, and of 100 is 1000010100. n runs from 1 to 1000000000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zeckendorf-bits

Inputs: n (required).

zeckendorf_sumZeckendorf SumA
Read-onlyIdempotent
Inspect

Sum Fibonacci numbers by index, using F1 = 1 and F2 = 1. Indices must be at least 2 and no two may be consecutive. Indices 11, 6, and 4 sum to 100. An empty list is rejected. At most 64 indices, each at most 512. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zeckendorf-sum

Inputs: indices (required).

zuckermanZuckermanB
Read-onlyIdempotent
Inspect

Whether n has no zero digit and the product of its digits divides n. 1, 11, 12, 24, and 36 do. 10, 13, and 22 do not. n runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zuckerman

Inputs: n (required).

zuckerman_countZuckerman CountA
Read-onlyIdempotent
Inspect

How many Zuckerman numbers are at most n. Through 9 there are 9, through 12 there are 11, through 24 there are 13, and through 50 there are 14. n runs from 1 to 100000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zuckerman-count

Inputs: n (required).

zumkellerZumkellerA
Read-onlyIdempotent
Inspect

Whether the divisors of n split into two sets with equal sum. 6, 12, 20, and 945 do. 1, 10, and 18 do not. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zumkeller

Inputs: n (required).

zumkeller_countZumkeller CountA
Read-onlyIdempotent
Inspect

How many Zumkeller numbers are at most n. Through 1 there are none, through 6 there is 1, through 12 there are 2, through 20 there are 3, and through 30 there are 6. n runs from 1 to 200. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zumkeller-count

Inputs: n (required).

zumkeller_halfZumkeller HalfA
Read-onlyIdempotent
Inspect

Half the sum of the divisors of n. 6 gives 6, 10 gives 9, and 12 gives 14. An odd divisor-sum is rejected. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zumkeller-half

Inputs: n (required).

zumkeller_oddZumkeller OddA
Read-onlyIdempotent
Inspect

Whether n is an odd Zumkeller number. 945 is. 1, 9, and 15 are not, and an even Zumkeller number such as 6 is not. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zumkeller-odd

Inputs: n (required).

zumkeller_subsetZumkeller SubsetA
Read-onlyIdempotent
Inspect

One set of divisors that sums to half the divisor-sum, comma-separated, taking the earliest divisors. 6 gives "1,2,3" and 20 gives "2,4,5,10". An odd sum is rejected, and a missing split is rejected. n runs from 1 to 2000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/zumkeller-subset

Inputs: n (required).

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