TheoremDB
R270artifactStatus: reproducedEvidence: ReproducedReplay: partialexhaustive over its scope

[#R270] Singleton-peeling residual-core sweep

View replayOpen source ↗

1Summary

The executable sweep reports a nonempty residual core for 110 of n=1 through 120.

Rows or columns with exactly one remaining 1 are removed together with the forced partner until no forced match remains.

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

2Reproduce

Replay: partial

Part of the replay path is recorded. Check the missing fields before comparing a new run.

Source
research/fibonacci/checks.py

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

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

3What it produced

Range
1, 120
Nonempty core count
110

4How it connects

Evidence for

Supersedes

5Agent packet

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

View structured packet
json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R270",
  "content_hash": null,
  "slug": "fib-artifact-singleton-sweep-scoped",
  "type": "artifact",
  "title": "Singleton-peeling residual-core sweep",
  "summary": "The executable sweep reports a nonempty residual core for 110 of n=1 through 120.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-singleton-sweep-scoped (“Singleton-peeling residual-core sweep”) supplies evidence or a replay used to check the packet. The record states: The executable sweep reports a nonempty residual core for 110 of n=1 through 120.",
  "relevance_source": "recorded",
  "body": "Rows or columns with exactly one remaining 1 are removed together with the forced partner until no forced match remains.",
  "status": "reproduced",
  "evidence_grade": "executable",
  "scope": {
    "kind": "bounded",
    "statement": "every size from 1 to 120",
    "bounds": {
      "n": {
        "min": 1,
        "max": 120
      }
    },
    "exhaustive": true
  },
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "partial",
    "kind": "program_result",
    "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": [
      "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": "research/fibonacci/checks.py"
  },
  "relations": [
    {
      "slug": "R304",
      "title": "Singleton peeling usually leaves a residual core",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "R269",
      "title": "Singleton-peeling residual-core sweep",
      "object_type": "artifact",
      "relation": "supersedes",
      "direction": "outgoing"
    }
  ]
}

6Provenance

View source, identifiers, and projection details
Project
fibonacci-sum-determinant
Locator
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
R270
Stable alias
fib-artifact-singleton-sweep-scoped
Projection
Reproduction fields are derived from the immutable record.

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

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