API Evangelist enhancements for API League — Math

overlay: 1.0.0
info:
  title: API Evangelist enhancements for API League — Math
  version: 1.0.0
extends: openapi/api-league-math-openapi.yml
x-provenance:
  generated: '2026-09-02'
  method: generated
  source: openapi/_original/api-league-openapi.json (verbatim harvest from https://raw.githubusercontent.com/ddsky/api-league-clients/master/apileague-openapi-3.json)
  note: Enhancements only. The harvested contract is never mutated — this Overlay records what API Evangelist adds
    on top of it. The provider spec declares no components.schemas and no tags[] block, so the tag description and
    the runtime-semantics extensions below are additions, not corrections.
actions:
- target: $.info
  update:
    x-apievangelist-profile: https://apis.io/provider/api-league/
    x-apievangelist-artifacts: https://github.com/api-evangelist/api-league
    x-provider-operator: skycraft GmbH, Dresden, Germany
    x-spec-source: https://raw.githubusercontent.com/ddsky/api-league-clients/master/apileague-openapi-3.json
    x-docs: https://apileague.com/apis/
- target: $.info
  update:
    x-runtime-semantics:
      auth: API key as ?api-key= query parameter or x-api-key header; prefer the header
      auth-docs: https://apileague.com/docs/authentication/
      quota-headers:
      - X-API-Quota-Request
      - X-API-Quota-Used
      - X-API-Quota-Left
      quota-unit: token
      quota-reset: midnight UTC
      quota-exhausted-status: 402
      throttled-status: 429
      retry-after-header: false
      rate-limit-headers: []
      error-envelope: '{"status","code","message"} as application/json — NOT RFC 9457'
      pagination:
        style: offset-limit
        request:
        - number
        - offset
        response:
        - total_results
        - available
        - number
        - offset
      idempotency: na — all operations are GET
      caching-restriction: Terms of use forbid storing data; max 1 hour cache with written permission (https://apileague.com/terms/)
- target: $.tags[?(@.name=='Math')]
  update:
    description: Math operations on the API League platform (1 of 55). Read-only HTTP GET; see https://apileague.com/apis/
      for the per-endpoint token cost.
    externalDocs:
      description: API League Math endpoints
      url: https://apileague.com/apis/
- target: $.servers[0]
  update:
    description: API League production host. No version segment — the contract is unversioned in transport.
- target: $.components.securitySchemes.apiKey
  update:
    description: API key in the query string. Documented by the provider, but the weaker of the two transports —
      keys in URLs are recorded in proxy logs, browser history and referrer headers. Prefer headerApiKey.
- target: $.components.securitySchemes.headerApiKey
  update:
    description: API key in the x-api-key request header. The recommended transport for agents and servers.