{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R287",
  "content_hash": null,
  "slug": "fib-claim-cancellation-33",
  "type": "claim",
  "title": "Cancellation at n=33 is exact",
  "summary": "At n=33 there are 10,800 allowed permutations, split into 5,400 even and 5,400 odd permutations.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-cancellation-33 (“Cancellation at n=33 is exact”) records a bound, answer, status fact, or structural consequence. The record states: At n=33 there are 10,800 allowed permutations, split into 5,400 even and 5,400 odd permutations.",
  "relevance_source": "recorded",
  "body": "This exhibits large cancellation that a determinant-only computation hides.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "question line 64"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
    "locator": "question line 64"
  },
  "models": [],
  "relations": [
    {
      "slug": "R298",
      "title": "Determinant equals a signed matching imbalance",
      "object_type": "claim",
      "relation": "supports",
      "direction": "outgoing"
    },
    {
      "slug": "R267",
      "title": "Allowed-permutation parity count at n=33",
      "object_type": "artifact",
      "relation": "evidences",
      "direction": "incoming"
    },
    {
      "slug": "R299",
      "title": "Determinant equals a signed matching imbalance",
      "object_type": "claim",
      "relation": "supports",
      "direction": "outgoing"
    }
  ]
}