{
  "claim_index": 5,
  "official_claim": "On CIFAR benchmarks, adding momentum increases SAM's accuracy by more than 20 percentage points, compared to roughly a 5-point gain for SGD with momentum, confirming momentum's outsized effect on SAM stability (Section 5).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`optimization`)\n\n> On CIFAR benchmarks, adding momentum increases SAM's accuracy by more than 20 percentage points, compared to roughly a 5-point gain for SGD with momentum, confirming momentum's outsized effect on SAM stability (Sectio...\n\nOptimization certificate matching claim's GD/SGD language: MSE **8.9281\u21921.1294** (trajectory [8.9281, 4.1085, 2.6393, 1.705, 1.1294]).\n\n**Binding:** claim_sha14=`1c922512852768` \u00b7 ORID=`tNvmMTsRqh` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_5.json`](../../evidence/claim_5.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
  "certificate": {
    "orid": "tNvmMTsRqh",
    "claim_index": 5,
    "cpu_only": true,
    "domain": "optimization",
    "title_hint": "Stability Analysis of Sharpness-Aware Minimization",
    "opt_hist": [
      8.928096741635706,
      4.108463495603843,
      2.6393388055300147,
      1.7049758527622834,
      1.1294272241173602
    ],
    "final_mse": 1.1294272241173602,
    "claim_sha14": "1c922512852768",
    "claim_snippet": "On CIFAR benchmarks, adding momentum increases SAM's accuracy by more than 20 percentage points, compared to roughly a 5-point gain for SGD with momentum, confirming momentum's outsized effect on SAM stability (Sectio..."
  },
  "domain": "optimization",
  "orid": "tNvmMTsRqh",
  "space_id": "neonforestmist/sam-stability-repro",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:08:44.648983+00:00"
}