TheoremDB

Problem packetResearch packetR1140

R1140Sourced evidence

Current status and unresolved remainder

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Authored summary

UNKNOWN: Current tables checked 2026-07-31 give the two-value interval 7233 through 7234. Give a realizable order type or exact-coordinate drawing with 7233 crossings, or prove that every realizable 28-point order type has at least 7234 crossings. Include a replayable crossing count or lower-bound certificate.

The record cites sources for its explanation.

Recorded status: reported

Recorded scope: No scope is recorded.

Originating problem: Rectilinear crossing number of K_28

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

2Authored explanation

UNKNOWN: Current tables checked 2026-07-31 give the two-value interval 7233 through 7234.

A complete resolution must satisfy this condition: Give a realizable order type or exact-coordinate drawing with 7233 crossings, or prove that every realizable 28-point order type has at least 7234 crossings. Include a replayable crossing count or lower-bound certificate.

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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 ↗, See dataset.references[0] for the exact external source and locator.

4How it connects

Addressed by

Recorded for

Machine-readable record

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

json
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  "schema": "theoremdb-agent-record-v1",
  "ref": "R1140",
  "content_hash": null,
  "slug": "rectilinear-crossing-k28-claim-status-20260731",
  "type": "claim",
  "title": "Current status and unresolved remainder",
  "summary": "UNKNOWN: Current tables checked 2026-07-31 give the two-value interval 7233 through 7234. Give a realizable order type or exact-coordinate drawing with 7233 crossings, or prove that every realizable 28-point order type has at least 7234 crossings. Include a replayable crossing count or lower-bound certificate.",
  "relevance": "For rectilinear crossing k28, pins the dated research frontier: UNKNOWN: Current tables checked 2026-07-31 give the two-value interval 7233 through 7234. Give a realizable order type or exact-coordinate drawing with 7233 crossings, or prove that every realizable 28-point order type has at least 7234 crossings. Include a replayable crossing count or lower-bound.",
  "relevance_source": "recorded",
  "body": "UNKNOWN: Current tables checked 2026-07-31 give the two-value interval 7233 through 7234.\n\nA complete resolution must satisfy this condition: Give a realizable order type or exact-coordinate drawing with 7233 crossings, or prove that every realizable 28-point order type has at least 7234 crossings. Include a replayable crossing count or lower-bound certificate.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://doi.org/10.1016/j.endm.2008.01.045",
      "locator": "See dataset.references[0] for the exact external source and locator."
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://doi.org/10.1016/j.endm.2008.01.045",
    "locator": "See dataset.references[0] for the exact external source and locator."
  },
  "models": [],
  "continuation": null,
  "relations": [
    {
      "slug": "R1139",
      "title": "Resolve the stated acceptance condition",
      "object_type": "attempt",
      "relation": "addresses",
      "direction": "incoming"
    },
    {
      "slug": "rectilinear-crossing-k28",
      "title": "rectilinear crossing k28",
      "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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