{
  "schema_version": 1,
  "package_type": "static-space-source-only-audit",
  "title": "Finding Stationary Points by Comparisons — Source-only audit",
  "paper": {
    "openreview_id": "VFpMpVXDJS",
    "title": "Finding Stationary Points by Comparisons",
    "arxiv_version": "2606.27082v1"
  },
  "space_configuration": {
    "sdk": "static",
    "required_tags": [
      "icml2026-repro",
      "paper-VFpMpVXDJS"
    ]
  },
  "claims_feed": {
    "url": "https://huggingface.co/spaces/ICML-2026-agent-repro/challenge/resolve/7b5b56aebf3abe590eab9f2c241a796125cab928/claims.json",
    "space_revision": "7b5b56aebf3abe590eab9f2c241a796125cab928",
    "asset_etag": "f8b74517cd33712f80399eea913efac0bb41078f",
    "captured_at": "2026-07-19T18:02:26Z"
  },
  "evidence_scope": "source_only_locations_and_wording_crosswalk",
  "fixed_outcome": "not assessed",
  "claims": [
    {
      "id": "C1",
      "exact_registry_claim": "Algorithm outputs ε-stationary point using Õ(n²/ε^1.5) queries to comparison oracle",
      "registry_status": "unverified",
      "page": "pages/claim-c1/page.md",
      "fixed_outcome": "not assessed"
    },
    {
      "id": "C2",
      "exact_registry_claim": "Quantum comparison oracle variant achieves Õ(n/ε^1.5) queries for finding stationary points",
      "registry_status": "unverified",
      "page": "pages/claim-c2/page.md",
      "fixed_outcome": "not assessed"
    },
    {
      "id": "C3",
      "exact_registry_claim": "Develops subroutine estimating normalized Hessian to accuracy δ using Õ(n² log(1/δ)) queries",
      "registry_status": "unverified",
      "page": "pages/claim-c3/page.md",
      "fixed_outcome": "not assessed"
    }
  ],
  "public_sources": [
    "https://arxiv.org/abs/2606.27082v1",
    "https://arxiv.org/pdf/2606.27082v1",
    "https://export.arxiv.org/e-print/2606.27082v1"
  ],
  "excluded_artifacts": [
    "arXiv PDF",
    "TeX archive",
    "author source code",
    "data and checkpoints",
    "logs and execution output",
    "result tables and scores"
  ],
  "conclusion": "No proof audit, implementation, execution, result, reproduction, score, or claim verification is contained or asserted by this package."
}