ScorpTech x402 Tools

Cake Number

cake_number

Read-onlyIdempotent

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

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": "cake_number"
  }
}

Input Schema

Name	Required	Description	Default
`n`	Yes

Schema Changelog

Changes observed during successful MCP inspections.

AddedOct 23, 2026

TDQS

A4.2/5.0

Behavior4/5

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

Annotations already establish that this is a read-only, idempotent, non-destructive operation. The description usefully adds that calls are paid via x402 on Solana at $0.001 per successful call and provides an equivalent HTTPS endpoint, though it does not describe failure 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.

Conciseness4/5

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

The definition is front-loaded with the core formula and examples before the operational details. The pricing and endpoint sentences are useful context rather than waste, so the description is appropriately sized for a paid API tool.

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 single-parameter mathematical function with no output schema, the description supplies the formula, domain, examples, pricing, and alternate HTTPS endpoint. An agent has enough information to invoke the tool correctly.

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 the semantic burden for n. It does so by explaining that n is the number of planes, giving the valid range, and illustrating values, though the integer typing is left to the schema.

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 names the specific mathematical object, gives its exact formula, and defines the input as the number of planes. This is enough to distinguish it from the many unrelated arithmetic and sequence tools in the sibling list.

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

Usage Guidelines3/5

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

The description gives the valid range for n and examples, so the intended use is implied clearly. However, it never explicitly states when to use this tool versus an alternative, nor does it mention exclusions or sibling routing.

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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