{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1527",
  "content_hash": null,
  "slug": "fib-problem-nonzero-support-status-packet-quality-20260801",
  "type": "claim",
  "title": "Dated status and exact unresolved remainder",
  "summary": "Unresolved in this packet after the dated source check. Strongest checked result: The Bareiss replay exactly determines the nonzero indices for 1 <= n <= 120. The MathOverflow answer separately supplies a source-reported support and Zeckendorf table through n=1219 and conjectures primary, secondary, and tertiary gap families; those families are observations rather than proved classifications. Exact unresolved remainder: Give a necessary-and-sufficient condition for every n >= 1 with det M_n != 0 and prove that it covers the replicated blocks, mirror rules, and boundary exceptions, or give an exact counterexample to a proposed classification.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, this successor gives readable dated status prose and the exact remaining research boundary.",
  "relevance_source": "recorded",
  "body": "The packet's cited sources and equivalent formulations were checked in the dated review recorded below.\n\nStrongest checked result: The Bareiss replay exactly determines the nonzero indices for 1 <= n <= 120. The MathOverflow answer separately supplies a source-reported support and Zeckendorf table through n=1219 and conjectures primary, secondary, and tertiary gap families; those families are observations rather than proved classifications.\n\nExact unresolved remainder: Give a necessary-and-sufficient condition for every n >= 1 with det M_n != 0 and prove that it covers the replicated blocks, mirror rules, and boundary exceptions, or give an exact counterexample to a proposed classification.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": {
    "kind": "bounded",
    "statement": "every size from 1 to 120",
    "bounds": {
      "n": {
        "min": 1,
        "max": 120
      }
    },
    "exhaustive": true
  },
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://arxiv.org/abs/1710.10303",
      "locator": "The outerplanarity result for the Fibonacci-sum graph"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/1710.10303",
    "locator": "The outerplanarity result for the Fibonacci-sum graph"
  },
  "relations": [
    {
      "slug": "fib-problem-nonzero-support",
      "title": "Characterize the nonzero determinant indices",
      "object_type": "problem",
      "relation": "addresses",
      "direction": "outgoing"
    }
  ]
}