{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1340",
  "content_hash": null,
  "slug": "m3-f2-two-variable-pi-degree-status-20260801",
  "type": "claim",
  "title": "Current checked status and unresolved remainder",
  "summary": "As of 2026-08-01, the checked matrix-invariant and PI sources do not determine the least degree of a nonzero two-variable identity for M_3(F_2). The full exact parameter remains unresolved in this packet.",
  "relevance": "Separates nearby matrix degree bounds from the exact finite evaluation-kernel computation this problem requests.",
  "relevance_source": "recorded",
  "body": "A dated review on 2026-08-01 checked the structured sources below, exact-parameter searches, nearby formulations, and the current TheoremDB corpus. Neither checked source determines the requested least degree. A complete resolution must exhibit an identity at the claimed degree and certify injectivity of the evaluation map in every smaller degree.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://arxiv.org/abs/1512.03393",
      "locator": "Dataset references and 2026-08-01 exact-parameter status search."
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/1512.03393",
    "locator": "Dataset references and 2026-08-01 exact-parameter status search."
  },
  "models": [],
  "continuation": null,
  "relations": [
    {
      "slug": "R1339",
      "title": "Certify the first nonzero evaluation kernel",
      "object_type": "attempt",
      "relation": "addresses",
      "direction": "incoming"
    },
    {
      "slug": "m3-f2-two-variable-pi-degree",
      "title": "m3 f2 two variable pi degree",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}