{
 "what": "The lambda(4) campaign record. Phase 0: Mercer arXiv:1709.06612 Section 5 executed mechanically — lambda(2) and lambda(3) re-derived end to end as calibration, the lambda(4) generic case derived with its exception list DISCOVERED, and the remaining reduction measured at NINE families (five of Mercer's fourteen carry strictly negative delta and are closed by the generic argument itself unless a positive-delta condition holds simultaneously). Phase 1, in progress: families closed so far are listed in lambda4families with their full derivations — second-level dot theorems, subfamily cones, derived thresholds, decided finite parts.",
 "provenance": "Statement and strategy: Idris Mercer, INTEGERS 19 (2019) #A4 (arXiv:1709.06612), read at source. Every threshold below is DERIVED by the engine, never transcribed.",
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       "target": {
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        "hi": "-6843480309534631/4503599627370496"
       },
       "pieces": [
        {
         "member": "a",
         "kind": "lemma3.3",
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         "floor": 6
        },
        {
         "member": "b",
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        },
        {
         "member": "c",
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        },
        {
         "member": "d",
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        }
       ]
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     ],
     "finite": {
      "ok": true,
      "enumerated": 179,
      "closed": 179,
      "skipped": [],
      "undecided": []
     }
    }
   ],
   "coverage": [
    {
     "condition": "2a = b",
     "subfamily": "b = 2a",
     "pointsChecked": 380
    },
    {
     "condition": "2a = c",
     "subfamily": "c = 2a",
     "pointsChecked": 190
    },
    {
     "condition": "2b = c",
     "subfamily": "c = 2b",
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    },
    {
     "condition": "a+b = c",
     "subfamily": "c = a+b",
     "pointsChecked": 380
    }
   ]
  }
 },
 "meta": {
  "date": "2026-09-01",
  "git": "ad9b30f",
  "ms": 54711
 }
}