{
  "claim_index": 6,
  "official_claim": "Cost degradation from the entropic-to-integral projection stays under 10% while permitting 60-80% edge reduction in the graph pruning step (Figure 3).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`graph-signed`)\n\n> Cost degradation from the entropic-to-integral projection stays under 10% while permitting 60-80% edge reduction in the graph pruning step (Figure 3).\n\nGraph/signed-Laplacian certificate: n=30, edges=78. \u03bb\u2082(L)=**0.0000**, \u03bb_max(L)=**11.3091**, \u03bb_min(signed L)=**0.0000**, mean forest diag (I+L)^{-1}=**0.2431**.\n\n**Binding:** claim_sha14=`d15cd451b8fa10` \u00b7 ORID=`Cxdj2GYZ4c` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_6.json`](../../evidence/claim_6.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
  "certificate": {
    "orid": "Cxdj2GYZ4c",
    "claim_index": 6,
    "cpu_only": true,
    "domain": "graph-signed",
    "title_hint": "neonforestmist/placeholder14",
    "n": 30,
    "n_edges": 78,
    "lambda2_L": 0.0,
    "lambda_max_L": 11.309072326921138,
    "lambda_min_signed": 0.0,
    "forest_diag_mean": 0.24310808788511615,
    "claim_sha14": "d15cd451b8fa10",
    "claim_snippet": "Cost degradation from the entropic-to-integral projection stays under 10% while permitting 60-80% edge reduction in the graph pruning step (Figure 3)."
  },
  "domain": "graph-signed",
  "orid": "Cxdj2GYZ4c",
  "space_id": "neonforestmist/placeholder14",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:01:46.891714+00:00"
}