{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1564",
  "content_hash": null,
  "slug": "general-relay-channel-capacity-attempt-dated-source-audit",
  "type": "attempt",
  "title": "Dated source and duplicate audit",
  "summary": "The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: Exact capacity is known for degraded and other subclasses; broad inner and outer bounds remain separated in general. Unresolved remainder: No universal matching computable characterization was located.",
  "relevance": "Documents why Capacity of the general discrete memoryless relay channel was treated as a distinct open target on 2026-08-01.",
  "relevance_source": "recorded",
  "body": "The audit ran on 2026-08-01 across the cited primary literature and problem collections, Crossref, arXiv, and stable publisher records, TheoremDB published, prospecting, packet, formal, and retired corpus. It checked the exact statement, its named or normalized variants, recent status evidence, and the controlled TheoremDB corpus.\n\nQueries included:\n- general discrete memoryless relay channel capacity remains open 2026\n- relay channel exact capacity decode forward compress forward cut set\n\nThe exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: Exact capacity is known for degraded and other subclasses; broad inner and outer bounds remain separated in general. Unresolved remainder: No universal matching computable characterization was located.",
  "status": "completed",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://doi.org/10.1109/TIT.1979.1056084",
      "locator": "T. Cover and A. El Gamal, Capacity theorems for the relay channel, IEEE Transactions on Information Theory 25 (1979). decode-forward, compress-forward, cut-set results"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://doi.org/10.1109/TIT.1979.1056084",
    "locator": "T. Cover and A. El Gamal, Capacity theorems for the relay channel, IEEE Transactions on Information Theory 25 (1979). decode-forward, compress-forward, cut-set results"
  },
  "relations": [
    {
      "slug": "R1567",
      "title": "Current status and exact unresolved remainder",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "general-relay-channel-capacity",
      "title": "general relay channel capacity",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}