ScorpTech x402 API

Fifth Sum

fifth_sum

Read-onlyIdempotent

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

Tool call template

Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.

{
  "id": 1,
  "jsonrpc": "2.0",
  "method": "tools/call",
  "params": {
    "arguments": {
      "n": "<n>"
    },
    "name": "fifth_sum"
  }
}

Input Schema

Name	Required	Description	Default
`n`	Yes

Schema Changelog

Changes observed during successful MCP inspections.

AddedOct 23, 2026

TDQS

A4.1/5.0

Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already declare readOnly, idempotent, openWorld, and non-destructive behavior, so the safety profile is covered. The description adds useful operational context: the output becomes a decimal string past 15 digits, the call costs $0.001 USDC via x402 on Solana, and an HTTPS endpoint is available. It does not contradict the annotations.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The definition is front-loaded with the mathematical meaning and formula, then adds only practical invocation details: range, output formatting, price, and endpoint. Every sentence contributes to correct selection or execution.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness5/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a single-parameter mathematical function with annotations covering safety, the description gives the formula, example, valid range, output-format caveat, payment requirement, and alternate endpoint. No output schema is needed because the formula fully specifies the return value.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters4/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%, so the description must explain n. It does so by defining n as the count of fifth powers summed, restating the 0–10000 range, and giving the example n=10 yields 220825. This compensates well for the bare schema, though edge-case behavior at n=0 is left implicit.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description states exactly what is computed: the sum of the first n fifth powers, and it includes the closed-form formula. The word "fifth" and the formula clearly distinguish it from sibling sum tools such as fourth_sum and sixth_sum without ambiguity.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description provides the valid range for n and pricing, but it does not say when to use this tool versus alternatives or when not to use it. A caller must infer its role from the mathematical definition alone.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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