TheoremDB

Problem packetResearch packetR294

R294Sourced evidence

Support blocks exhibit mirror symmetries

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Authored summary

The first block of one row mirrors the final block of the previous row, and much of the middle block mirrors into the next final block.

The record cites sources for its explanation.

Recorded status: observed

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Recorded relationships: Infer the core index map in Zeckendorf coordinates

Authored record and scope
Authored title
Support blocks exhibit mirror symmetries
Record type
claim
Stored status
observed
Evidence grade
sourced
Linked research record IDs
R283

2Authored explanation

The mirror rule has a boundary exception that needs its own description.

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Replay material: source only

3Evidence

Replay package: source only

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

Verification source: mathoverflow.net ↗, answer lines 305-306

4How it connects

Evidenced by

Machine-readable record

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

json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R294",
  "content_hash": null,
  "slug": "fib-claim-mirrored-blocks",
  "type": "claim",
  "title": "Support blocks exhibit mirror symmetries",
  "summary": "The first block of one row mirrors the final block of the previous row, and much of the middle block mirrors into the next final block.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-mirrored-blocks (“Support blocks exhibit mirror symmetries”) records a bound, answer, status fact, or structural consequence. The record states: The first block of one row mirrors the final block of the previous row, and much of the middle block mirrors into the next final block.",
  "relevance_source": "recorded",
  "body": "The mirror rule has a boundary exception that needs its own description.",
  "status": "observed",
  "evidence_grade": "sourced",
  "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": "answer lines 305-306"
    },
    "missing": [
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  },
  "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": "answer lines 305-306"
  },
  "models": [],
  "relations": [
    {
      "slug": "R283",
      "title": "Infer the core index map in Zeckendorf coordinates",
      "object_type": "attempt",
      "relation": "supports",
      "direction": "outgoing"
    },
    {
      "slug": "R268",
      "title": "Colored block self-similarity diagram",
      "object_type": "artifact",
      "relation": "evidences",
      "direction": "incoming"
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6Provenance

View source, identifiers, and projection details

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

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