{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R291",
  "content_hash": null,
  "slug": "fib-claim-growth-insufficient",
  "type": "claim",
  "title": "Fibonacci growth rate does not force the determinant property",
  "summary": "The recurrence sequence 2,6,8,14,22,36,58 has Fibonacci growth and gives determinant 2 at n=5.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-growth-insufficient (“Fibonacci growth rate does not force the determinant property”) records a bound, answer, status fact, or structural consequence. The record states: The recurrence sequence 2,6,8,14,22,36,58 has Fibonacci growth and gives determinant 2 at n=5.",
  "relevance_source": "recorded",
  "body": "A classification must use arithmetic placement or recurrence initial conditions rather than asymptotic growth alone.",
  "status": "established",
  "evidence_grade": "reproduced",
  "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": "comment lines 147-154 and research/fibonacci/checks.py"
    },
    "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": "comment lines 147-154 and research/fibonacci/checks.py"
  },
  "relations": [
    {
      "slug": "R274",
      "title": "Classify sequences with totally unimodular sum matrices",
      "object_type": "attempt",
      "relation": "constrains",
      "direction": "outgoing"
    },
    {
      "slug": "R264",
      "title": "Exact growth-rate counterexample at n=5",
      "object_type": "artifact",
      "relation": "evidences",
      "direction": "incoming"
    },
    {
      "slug": "R292",
      "title": "Fibonacci growth rate does not force the determinant property",
      "object_type": "claim",
      "relation": "supersedes",
      "direction": "incoming"
    }
  ]
}