{
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      "prov:label": "The Goldbach conjecture holds for every even integer greater than 2.",
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    },
    "pe:evidence-A1": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Primary check: counterexamples in [4, 10^6] via trial division",
      "pe:factId": "A1",
      "pe:evidenceType": "computed",
      "pe:method": "goldbach_trial_division() \u2014 isprime() per candidate",
      "pe:result": "0 counterexamples in [4, 1000000]"
    },
    "pe:evidence-A2": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Cross-check: counterexamples in [4, 10^6] via prime-pair sieve",
      "pe:factId": "A2",
      "pe:evidenceType": "computed",
      "pe:method": "goldbach_prime_sieve() \u2014 primerange sieve + set lookup",
      "pe:result": "0 counterexamples in [4, 1000000]"
    },
    "pe:verdict": {
      "prov:type": "pe:Verdict",
      "prov:label": "Verdict: UNDETERMINED",
      "prov:value": "UNDETERMINED"
    }
  },
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    "pe:determine-verdict": {
      "prov:type": "pe:VerdictDetermination",
      "prov:label": "Determine verdict from evidence",
      "prov:endTime": "2026-03-28"
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    "pe:proof-engine": {
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    "pe:attr-verdict": {
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