{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://ulam.ai/schemas/aime-plus-plus-sample-0.1.0.json",
  "title": "AIME++ Sample Record",
  "description": "One exact-answer mathematical reasoning problem from the AIME++ sample.",
  "type": "object",
  "additionalProperties": false,
  "required": ["id", "problem", "answer", "answer_str", "tier"],
  "properties": {
    "id": {
      "type": "string",
      "pattern": "^aimepp-(aime|hard|graduate|researcher)-[0-9]{4}$",
      "description": "Stable record identifier."
    },
    "problem": {
      "type": "string",
      "minLength": 1,
      "description": "English mathematical problem statement with LaTeX markup."
    },
    "answer": {
      "type": "integer",
      "minimum": 0,
      "maximum": 999,
      "description": "Canonical numeric answer."
    },
    "answer_str": {
      "type": "string",
      "pattern": "^[0-9]{3}$",
      "description": "Canonical zero-padded three-digit answer used for exact-match evaluation."
    },
    "tier": {
      "type": "string",
      "enum": ["AIME", "AIME Hard", "AIME-Graduate", "AIME-Researcher"],
      "description": "Human-readable difficulty tier."
    }
  }
}