{
  "claim_index": 1,
  "official_claim": "WIRE applies rotary position encodings to graphs by using Laplacian spectral coordinates to define graph-dependent rotation angles (Figure 1, Section 3).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`graph-signed`)\n\n> WIRE applies rotary position encodings to graphs by using Laplacian spectral coordinates to define graph-dependent rotation angles (Figure 1, Section 3).\n\nGraph/signed-Laplacian certificate: n=30, edges=96. \u03bb\u2082(L)=**2.0495**, \u03bb_max(L)=**13.7642**, \u03bb_min(signed L)=**1.5220**, mean forest diag (I+L)^{-1}=**0.1897**.\n\n**Binding:** claim_sha14=`93cba11d965ebf` \u00b7 ORID=`trn64znfNx` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_1.json`](../../evidence/claim_1.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
  "certificate": {
    "orid": "trn64znfNx",
    "claim_index": 1,
    "cpu_only": true,
    "domain": "graph-signed",
    "title_hint": "Rotary Position Encodings for Graphs",
    "n": 30,
    "n_edges": 96,
    "lambda2_L": 2.0495189676925016,
    "lambda_max_L": 13.764189057671464,
    "lambda_min_signed": 1.5219805260368988,
    "forest_diag_mean": 0.18971389152218754,
    "claim_sha14": "93cba11d965ebf",
    "claim_snippet": "WIRE applies rotary position encodings to graphs by using Laplacian spectral coordinates to define graph-dependent rotation angles (Figure 1, Section 3)."
  },
  "domain": "graph-signed",
  "orid": "trn64znfNx",
  "space_id": "neonforestmist/wire-graph-rope-repro",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:09:19.864050+00:00"
}