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Keith Count

keith_count
Read-onlyIdempotent

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

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": "keith_count"
  }
}

Input Schema

NameRequiredDescriptionDefault
nYes

Schema Changelog

Changes observed during successful MCP inspections.

  1. Added

TDQS

A3.8/5.0
Behavior4/5

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

Annotations already cover safety traits: readOnlyHint=true, idempotentHint=true, destructiveHint=false, and openWorldHint=true. The description adds valuable non-annotation context, especially the x402 pricing per successful call and the HTTPS endpoint, though it does not discuss error behavior or rate limits.

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 core purpose and then adds compact examples, bounds, payment details, and the alternate HTTPS endpoint. Every sentence contributes useful information without unnecessary repetition.

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 simple read-only counting tool with one integer parameter, no output schema, and rich annotations, the description is complete enough. It explains the return concept ('how many'), bounds, examples, and payment requirements.

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 carry parameter meaning. It clarifies that n is an inclusive upper bound via 'at most n' and restates the valid 1–10000 range, which is enough semantics for a single integer threshold parameter.

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

Purpose4/5

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

The description states a specific verb and resource: counting Keith numbers up to an upper bound n. It is clear in isolation, but it does not explicitly differentiate itself from sibling tools such as keith, keith_next, keith_row, or keith_steps.

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 gives illustrative thresholds and the valid n range, but it does not say when to use this tool instead of alternatives like keith or keith_next. There are no explicit when-to-use or when-not-to-use instructions.

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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