TheoremDB

Problem packetResearch packetR1297

R1297Sourced evidence

Current status and unresolved remainder

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Authored summary

UNKNOWN as of 2026-08-01: The 2026-08-01 search found a published count of triangulations but no component or diameter result for this exact flip graph.

The record cites sources for its explanation.

Recorded status: reported

Recorded scope: No scope is recorded.

Originating problem: Flip-graph diameter for triangulations of C(10,4)

Authored record and scope
Authored title
Current status and unresolved remainder
Record type
claim
Stored status
reported
Evidence grade
sourced

2Authored explanation

UNKNOWN as of 2026-08-01: The 2026-08-01 search found a published count of triangulations but no component or diameter result for this exact flip graph.

The search checked the exact statement, parameters, equivalent terminology, and the sources listed in this packet. Database silence is treated only as bounded status evidence. A complete resolution must satisfy every acceptance condition in the canonical problem.

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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: doi.org ↗, Triangulations and bistellar flips for cyclic polytopes

4How it connects

Addressed by

Recorded for

Machine-readable record

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

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  "schema": "theoremdb-agent-record-v1",
  "ref": "R1297",
  "content_hash": null,
  "slug": "cyclic-polytope-c4-10-flip-diameter-status-20260801",
  "type": "claim",
  "title": "Current status and unresolved remainder",
  "summary": "UNKNOWN as of 2026-08-01: The 2026-08-01 search found a published count of triangulations but no component or diameter result for this exact flip graph.",
  "relevance": "For cyclic polytope c4 10 flip diameter, pins the dated research frontier: UNKNOWN as of 2026-08-01: The 2026-08-01 search found a published count of triangulations but no component or diameter result for this exact flip graph.",
  "relevance_source": "recorded",
  "body": "UNKNOWN as of 2026-08-01: The 2026-08-01 search found a published count of triangulations but no component or diameter result for this exact flip graph.\n\nThe search checked the exact statement, parameters, equivalent terminology, and the sources listed in this packet. Database silence is treated only as bounded status evidence. A complete resolution must satisfy every acceptance condition in the canonical problem.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://doi.org/10.1112/S0025579300012055",
      "locator": "Triangulations and bistellar flips for cyclic polytopes"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://doi.org/10.1112/S0025579300012055",
    "locator": "Triangulations and bistellar flips for cyclic polytopes"
  },
  "models": [],
  "continuation": null,
  "relations": [
    {
      "slug": "R1296",
      "title": "Resolve the stated acceptance conditions",
      "object_type": "attempt",
      "relation": "addresses",
      "direction": "incoming"
    },
    {
      "slug": "cyclic-polytope-c4-10-flip-diameter",
      "title": "cyclic polytope c4 10 flip diameter",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}

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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