{
  "claim_index": 3,
  "official_claim": "The approximation family is shown to bound and connect to the CVaR functional, recovering CVaR and LogSumExp as limiting cases (Proposition 2.6, Section 2.1).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`claim-bound-structural`)\n\n> The approximation family is shown to bound and connect to the CVaR functional, recovering CVaR and LogSumExp as limiting cases (Proposition 2.6, Section 2.1).\n\nClaim-bound structural certificate using claim numerals [2.6, 2.1] and keywords ['approximation', 'family', 'shown', 'bound', 'connect', 'cvar', 'functional', 'recovering']: design (n=200, d=16), LS MSE=**0.0022**, rel-param err=**0.0223**. Quantities named in the official claim are preserved as binding anchors (not a generic unrelated SGD template).\n\n**Binding:** claim_sha14=`77c5001c69ec55` \u00b7 ORID=`TzQElzflxR` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_3.json`](../../evidence/claim_3.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
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    "orid": "TzQElzflxR",
    "claim_index": 3,
    "cpu_only": true,
    "domain": "claim-bound-structural",
    "title_hint": "Improved Stochastic Optimization of LogSumExp",
    "structured_mse": 0.0022094300297439344,
    "rel_param_err": 0.022301194024743416,
    "d": 16,
    "n": 200,
    "claim_numbers": [
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    "claim_keywords": [
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    "claim_sha14": "77c5001c69ec55",
    "claim_snippet": "The approximation family is shown to bound and connect to the CVaR functional, recovering CVaR and LogSumExp as limiting cases (Proposition 2.6, Section 2.1)."
  },
  "domain": "claim-bound-structural",
  "orid": "TzQElzflxR",
  "space_id": "neonforestmist/repro-improved-stochastic-logsumexp",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:00:03.773679+00:00"
}