TheoremDB

Problem packetResearch packetR267

R267Sourced evidence

Allowed-permutation parity count at n=33

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Authored summary

The source reports 10,800 allowed permutations at n=33 with an even split by sign.

The record cites sources for its explanation.

Recorded status: reported

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Recorded relationships: Cancellation at n=33 is exact

Authored record and scope
Authored title
Allowed-permutation parity count at n=33
Record type
artifact
Stored status
reported
Evidence grade
sourced
Linked research record IDs
R287

2Authored explanation

A repository reproduction of the permutation enumeration remains open.

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Replay material: source only

3Reproduce

Replay package: source only

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

Verification source: mathoverflow.net ↗, question line 64

Missing for a complete replay: source, command, runtime, expected output.

Recorded artifact fields

4What it produced

5How it connects

Evidence for

Machine-readable record

Copy the structured record when continuing this work with an agent.

json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R267",
  "content_hash": null,
  "slug": "fib-artifact-permutations-33",
  "type": "artifact",
  "title": "Allowed-permutation parity count at n=33",
  "summary": "The source reports 10,800 allowed permutations at n=33 with an even split by sign.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-permutations-33 (“Allowed-permutation parity count at n=33”) supplies evidence or a replay used to check the packet. The record states: The source reports 10,800 allowed permutations at n=33 with an even split by sign.",
  "relevance_source": "recorded",
  "body": "A repository reproduction of the permutation enumeration remains open.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "computed_result",
    "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": "R287",
      "title": "Cancellation at n=33 is exact",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    }
  ]
}

7Provenance

View source, identifiers, and projection details

A program, dataset, or output another agent can run or read.

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