{
  "prefix": {
    "pe": "https://proofengine.info/proofs/2026-has-no-square-root-viral-new-year-s-math-meme/",
    "prov": "http://www.w3.org/ns/prov#",
    "xsd": "http://www.w3.org/2001/XMLSchema#",
    "schema": "http://schema.org/"
  },
  "entity": {
    "pe:claim": {
      "prov:type": "pe:Claim",
      "prov:label": "2026 has no square root",
      "prov:value": "2026 has no square root"
    },
    "pe:evidence-A1": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Floor-sqrt bound check: no integer squares to 2026",
      "pe:factId": "A1",
      "pe:evidenceType": "computed",
      "pe:method": "math.isqrt() floor-sqrt bound check",
      "pe:result": "45\u00b2 = 2025 \u2260 2026, 46\u00b2 = 2116 \u2260 2026 \u2192 no integer square root"
    },
    "pe:evidence-A2": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Quadratic-residue mod-16 check: 2026 mod 16 is not a perfect-square residue",
      "pe:factId": "A2",
      "pe:evidenceType": "computed",
      "pe:method": "Quadratic residues mod 16",
      "pe:result": "2026 mod 16 = 10; QR_16 = {0,1,4,9}; 10 \u2209 QR_16 \u2192 not a perfect square"
    },
    "pe:evidence-A3": {
      "prov:type": "pe:ComputedEvidence",
      "prov:label": "Context: 2025 = 45\u00b2 confirming the adjacent perfect square",
      "pe:factId": "A3",
      "pe:evidenceType": "computed",
      "pe:method": "math.isqrt() perfect-square confirmation",
      "pe:result": "45\u00b2 = 2025 \u2192 2025 IS a perfect square (adjacent year)"
    },
    "pe:verdict": {
      "prov:type": "pe:Verdict",
      "prov:label": "Verdict: PROVED",
      "prov:value": "PROVED"
    }
  },
  "activity": {
    "pe:determine-verdict": {
      "prov:type": "pe:VerdictDetermination",
      "prov:label": "Determine verdict from evidence",
      "prov:endTime": "2026-03-28"
    }
  },
  "agent": {
    "pe:proof-engine": {
      "prov:type": "prov:SoftwareAgent",
      "prov:label": "Proof Engine",
      "schema:version": "0.10.0",
      "schema:url": "https://github.com/yaniv-golan/proof-engine"
    }
  },
  "wasGeneratedBy": {
    "pe:gen-verdict": {
      "prov:entity": "pe:verdict",
      "prov:activity": "pe:determine-verdict"
    }
  },
  "wasDerivedFrom": {},
  "wasAttributedTo": {
    "pe:attr-verdict": {
      "prov:entity": "pe:verdict",
      "prov:agent": "pe:proof-engine"
    }
  },
  "used": {
    "pe:used-A1": {
      "prov:activity": "pe:determine-verdict",
      "prov:entity": "pe:evidence-A1"
    },
    "pe:used-A2": {
      "prov:activity": "pe:determine-verdict",
      "prov:entity": "pe:evidence-A2"
    },
    "pe:used-A3": {
      "prov:activity": "pe:determine-verdict",
      "prov:entity": "pe:evidence-A3"
    }
  }
}