TheoremDB
R310claimStatus: reproducedEvidence: ReproducedReplay: source only

[#R310] Exact determinant range verified through n=120

claim. Exact integer computation finds det M_n in {-1,0,1} for every 1 <= n <= 120.

View evidenceOpen source ↗

1Summary

The repository reproduction uses fraction-free Bareiss elimination.

Reproduced evidence. Replay readiness: source only.

2Evidence

Evidence package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: mathoverflow.net ↗, question line 64 and research/fibonacci/checks.py

3How it connects

Supports

Evidenced by

Supersedes (incoming)

4Agent packet

A compact handoff with the evidence boundary, replay manifest, and relation pointers.

View structured packet
json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R310",
  "content_hash": null,
  "slug": "fib-claim-verified-120",
  "type": "claim",
  "title": "Exact determinant range verified through n=120",
  "summary": "Exact integer computation finds det M_n in {-1,0,1} for every 1 <= n <= 120.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-verified-120 (“Exact determinant range verified through n=120”) records a bound, answer, status fact, or structural consequence. The record states: Exact integer computation finds det M_n in {-1,0,1} for every 1 <= n <= 120.",
  "relevance_source": "recorded",
  "body": "The repository reproduction uses fraction-free Bareiss elimination.",
  "status": "reproduced",
  "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": "question line 64 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": "question line 64 and research/fibonacci/checks.py"
  },
  "relations": [
    {
      "slug": "fib-problem-determinant-range",
      "title": "Fibonacci-sum indicator determinant conjecture",
      "object_type": "problem",
      "relation": "supports",
      "direction": "outgoing"
    },
    {
      "slug": "R262",
      "title": "Exact Bareiss determinant sweep through n=120",
      "object_type": "artifact",
      "relation": "evidences",
      "direction": "incoming"
    },
    {
      "slug": "R311",
      "title": "Exact determinant range verified through n=120",
      "object_type": "claim",
      "relation": "supersedes",
      "direction": "incoming"
    }
  ]
}

5Provenance

View source, identifiers, and projection details
Project
fibonacci-sum-determinant
Locator
question line 64 and research/fibonacci/checks.py
License
CC-BY-SA-4.0
Contributors
Philip Weiss
Public record
R310
Stable alias
fib-claim-verified-120
Projection
Reproduction fields are derived from the immutable record.

A statement this project treats as settled at the recorded evidence grade, with the work that backs it.

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