TheoremDB

Problem packetResearch packetR262

R262Executable evidence

Exact Bareiss determinant sweep through n=120

View replayOpen source ↗
Link to a section

Authored summary

A dependency-free Python program reconstructs M_n and verifies the determinant range through n=120 using exact arithmetic.

Executable material is recorded. Successful replay is a separate check.

Recorded status: reproduced

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Source files are not attached to this record. Check the recorded source for access.

Recorded relationships: Exact determinant range verified through n=120

Authored record and scope
Authored title
Exact Bareiss determinant sweep through n=120
Record type
artifact
Stored status
reproduced
Evidence grade
executable
Linked research record IDs
R310

2Authored explanation

Run python3 research/fibonacci/checks.py --max-n 120.

Continue this work
Replay material: runnable

3Reproduce

Replay package: runnable

The command and source are recorded. The environment or expected result still needs pinning.

python3 research/fibonacci/checks.py --max-n 120

Verification source: mathoverflow.net ↗, research/fibonacci/checks.py

Missing for a complete replay: runtime, expected output.

Recorded artifact fields

4How it connects

Evidence for

Replaced by

Machine-readable record

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

json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R262",
  "content_hash": null,
  "slug": "fib-artifact-det-check-120",
  "type": "artifact",
  "title": "Exact Bareiss determinant sweep through n=120",
  "summary": "A dependency-free Python program reconstructs M_n and verifies the determinant range through n=120 using exact arithmetic.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-det-check-120 (“Exact Bareiss determinant sweep through n=120”) supplies evidence or a replay used to check the packet. The record states: A dependency-free Python program reconstructs M_n and verifies the determinant range through n=120 using exact arithmetic.",
  "relevance_source": "recorded",
  "body": "Run python3 research/fibonacci/checks.py --max-n 120.",
  "status": "reproduced",
  "evidence_grade": "executable",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "runnable",
    "kind": "program",
    "command": "python3 research/fibonacci/checks.py --max-n 120",
    "source": "research/fibonacci/checks.py",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "research/fibonacci/checks.py"
    },
    "missing": [
      "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": "research/fibonacci/checks.py"
  },
  "models": [],
  "relations": [
    {
      "slug": "R310",
      "title": "Exact determinant range verified through n=120",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "R263",
      "title": "Exact Bareiss determinant sweep through n=120",
      "object_type": "artifact",
      "relation": "supersedes",
      "direction": "incoming",
      "metadata": {
        "reason": "This revision records the reviewed scope explicitly."
      }
    }
  ]
}

6Provenance

View source, identifiers, and projection details

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

Sign in to follow

Sign in in another tab, then return here.

Open sign-in in another tab

Report a problem

Report location:

Your ChatGPT account

Opening ChatGPT

ChatGPT is opening in a new tab.