{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1156",
  "content_hash": null,
  "slug": "sts15-pasch-switch-graph-claim-status-20260731",
  "type": "claim",
  "title": "Current status and unresolved remainder",
  "summary": "OPEN (partially resolved): The Pasch-switch graph has two known connected components. One contains 79 isomorphism classes, and the unique anti-Pasch STS(15) class is an isolated vertex. The diameter of the 79-vertex component was not located in the 2026-07-31 literature audit and is the sole remaining question. Provide canonical representatives for all 80 classes, replay every Pasch-switch adjacency, list the connected components, and certify each reported diameter with paths and matching distance lower bounds.",
  "relevance": "Defines the dated frontier and the exact remainder that research on this problem must resolve.",
  "relevance_source": "recorded",
  "body": "OPEN (partially resolved): The Pasch-switch graph has two known connected components. One contains 79 isomorphism classes, and the unique anti-Pasch STS(15) class is an isolated vertex. The diameter of the 79-vertex component was not located in the 2026-07-31 literature audit and is the sole remaining question.\n\nA complete resolution must satisfy this condition: Provide canonical representatives for all 80 classes, replay every Pasch-switch adjacency, list the connected components, and certify each reported diameter with paths and matching distance lower bounds.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://doi.org/10.1073/pnas.3.3.197",
      "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/10.1073/pnas.3.3.197",
    "locator": "See dataset.references[0] for the exact external source and locator."
  },
  "relations": [
    {
      "slug": "R1155",
      "title": "Resolve the stated acceptance condition",
      "object_type": "attempt",
      "relation": "addresses",
      "direction": "incoming"
    },
    {
      "slug": "sts15-pasch-switch-graph",
      "title": "sts15 pasch switch graph",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}