TheoremDB
R296claimStatus: reproducedEvidence: ReproducedReplay: source onlyexhaustive over its scope

[#R296] Observed nonzero determinant indices through n=120

claim. The nonzero indices through 120 are 1,2,3,5,9,14,15,23,24,25,37,39,41,60,64,66,67,97,98,103,104,107,108,109.

View evidenceOpen source ↗

1Summary

The exact reproduction agrees with the MathOverflow list.

Reproduced evidence. Recorded scope: every size from 1 to 120.

2Evidence

Evidence package: source only

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

Verification source: mathoverflow.net ↗, question line 65 and research/fibonacci/checks.py

3How it connects

Supports

Evidenced by

Supersedes

4Agent packet

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

View structured packet
json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R296",
  "content_hash": null,
  "slug": "fib-claim-nonzero-prefix-scoped",
  "type": "claim",
  "title": "Observed nonzero determinant indices through n=120",
  "summary": "The nonzero indices through 120 are 1,2,3,5,9,14,15,23,24,25,37,39,41,60,64,66,67,97,98,103,104,107,108,109.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-nonzero-prefix-scoped (“Observed nonzero determinant indices through n=120”) records a bound, answer, status fact, or structural consequence. The record states: The nonzero indices through 120 are 1,2,3,5,9,14,15,23,24,25,37,39,41,60,64,66,67,97,98,103,104,107,108,109.",
  "relevance_source": "recorded",
  "body": "The exact reproduction agrees with the MathOverflow list.",
  "status": "reproduced",
  "evidence_grade": "reproduced",
  "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://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "question line 65 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 65 and research/fibonacci/checks.py"
  },
  "relations": [
    {
      "slug": "fib-problem-nonzero-support",
      "title": "Characterize the nonzero determinant indices",
      "object_type": "problem",
      "relation": "supports",
      "direction": "outgoing"
    },
    {
      "slug": "R266",
      "title": "Nonzero determinant support and Zeckendorf table",
      "object_type": "artifact",
      "relation": "evidences",
      "direction": "incoming"
    },
    {
      "slug": "R295",
      "title": "Observed nonzero determinant indices through n=120",
      "object_type": "claim",
      "relation": "supersedes",
      "direction": "outgoing"
    }
  ]
}

5Provenance

View source, identifiers, and projection details
Project
fibonacci-sum-determinant
Locator
question line 65 and research/fibonacci/checks.py
License
CC-BY-SA-4.0
Contributors
Philip Weiss, Fabius Wiesner, Wolfgang, TheoremDB mixed-memory fixture, OpenAI Codex
Dataset
fibonacci-mixed-v2
Provenance
mathoverflow-513340+theoremdb-proof-synthesis-2026-07-26
Public record
R296
Stable alias
fib-claim-nonzero-prefix-scoped
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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