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      "prov:type": "pe:Claim",
      "prov:label": "The infinite sum from n=1 to infinity of \\(1/n^2\\) equals exactly \\(\\pi^2/6\\)",
      "prov:value": "The infinite sum from n=1 to infinity of \\(1/n^2\\) equals exactly \\(\\pi^2/6\\)"
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      "prov:label": "Symbolic computation of sum_{n=1}^{inf} 1/n^2 via sympy",
      "pe:factId": "A1",
      "pe:evidenceType": "computed",
      "pe:method": "Symbolic summation via sympy: summation(1/n^2, (n, 1, oo))",
      "pe:result": "pi**2/6 (exact symbolic match: True)"
    },
    "pe:evidence-A2": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "High-precision numerical partial sum convergence (mpmath, 10^7 terms + Euler-Maclaurin)",
      "pe:factId": "A2",
      "pe:evidenceType": "computed",
      "pe:method": "High-precision numerical computation via mpmath zeta(2) at 60 decimal places",
      "pe:result": "Agrees to 60 digits (threshold: 50)"
    },
    "pe:evidence-A3": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Independent verification via Parseval's theorem on f(x)=x Fourier series",
      "pe:factId": "A3",
      "pe:evidenceType": "computed",
      "pe:method": "Parseval's theorem on Fourier series of f(x) = x on [-pi, pi]",
      "pe:result": "Derives sum = pi^2/6 independently (match: True)"
    },
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      "prov:type": "pe:Verdict",
      "prov:label": "Verdict: PROVED",
      "prov:value": "PROVED"
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      "prov:label": "Determine verdict from evidence",
      "prov:endTime": "2026-03-28"
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      "prov:activity": "pe:determine-verdict"
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