{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1104",
  "content_hash": null,
  "slug": "minimum-convex-pentagons-seventeen-claim-status-20260731",
  "type": "claim",
  "title": "Current status and unresolved remainder",
  "summary": "UNKNOWN: A 2025 computational proof determines \\(\\mu_5(n)\\) through n=16; the 2026-07-31 search found no exact n=17 value. Give a realizable 17-point configuration with m convex five-subsets and a proof or independently checkable SAT or order-type certificate that every realizable configuration has at least m.",
  "relevance": "For minimum convex pentagons seventeen, pins the dated research frontier: UNKNOWN: A 2025 computational proof determines \\(\\mu_5(n)\\) through n=16; the 2026-07-31 search found no exact n=17 value. Give a realizable 17-point configuration with m convex five-subsets and a proof or independently checkable SAT or order-type certificate that every realizable configuration has.",
  "relevance_source": "recorded",
  "body": "UNKNOWN: A 2025 computational proof determines \\(\\mu_5(n)\\) through n=16; the 2026-07-31 search found no exact n=17 value.\n\nA complete resolution must satisfy this condition: Give a realizable 17-point configuration with m convex five-subsets and a proof or independently checkable SAT or order-type certificate that every realizable configuration has at least m.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://arxiv.org/abs/2311.03645",
      "locator": "See dataset.references[0] for the exact external source and locator."
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/2311.03645",
    "locator": "See dataset.references[0] for the exact external source and locator."
  },
  "models": [],
  "relations": [
    {
      "slug": "R1103",
      "title": "Resolve the stated acceptance condition",
      "object_type": "attempt",
      "relation": "addresses",
      "direction": "incoming"
    },
    {
      "slug": "minimum-convex-pentagons-seventeen",
      "title": "minimum convex pentagons seventeen",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}