[
  {
    "section": "s1",
    "kind": "author_analysis_or_verification_proposal",
    "sources": [],
    "claim": "1. A geometry claim needs an object and a metric"
  },
  {
    "section": "s2",
    "kind": "source_based_review",
    "sources": [
      "dl2-a04-1",
      "dl2-a04-2"
    ],
    "claim": "2. What the original literature establishes"
  },
  {
    "section": "s3",
    "kind": "author_analysis_or_verification_proposal",
    "sources": [],
    "claim": "3. An exact model with an observable symmetry"
  },
  {
    "section": "s4",
    "kind": "author_analysis_or_verification_proposal",
    "sources": [],
    "claim": "4. Deriving curvature without a numerical eigensolver"
  },
  {
    "section": "s5",
    "kind": "author_analysis_or_verification_proposal",
    "sources": [],
    "claim": "5. What the counterexample refutes and leaves open"
  },
  {
    "section": "s6",
    "kind": "author_analysis_or_verification_proposal",
    "sources": [],
    "claim": "6. Perturbation sets transform with the coordinates"
  },
  {
    "section": "s7",
    "kind": "source_based_review",
    "sources": [
      "dl2-a04-3"
    ],
    "claim": "7. Sharpness-aware optimization is an intervention"
  },
  {
    "section": "s8",
    "kind": "source_based_review",
    "sources": [
      "dl2-a04-4"
    ],
    "claim": "8. A figure can conceal the intervention it visualizes"
  },
  {
    "section": "s9",
    "kind": "source_based_review",
    "sources": [
      "dl2-a04-5"
    ],
    "claim": "9. Scale-aware explanations require complete quantities"
  },
  {
    "section": "s10",
    "kind": "source_based_review",
    "sources": [
      "dl2-a04-6"
    ],
    "claim": "10. Correlation across trained models is a separate hypothesis"
  },
  {
    "section": "s11",
    "kind": "author_analysis_or_verification_proposal",
    "sources": [],
    "claim": "11. A reproducible finite-radius calculation"
  },
  {
    "section": "s12",
    "kind": "author_analysis_or_verification_proposal",
    "sources": [],
    "claim": "12. A study design that can support a stronger claim"
  },
  {
    "section": "s13",
    "kind": "author_analysis_or_verification_proposal",
    "sources": [],
    "claim": "13. Numerical and conceptual limitations"
  },
  {
    "section": "s14",
    "kind": "author_analysis_or_verification_proposal",
    "sources": [],
    "claim": "14. Geometry earns meaning through a measurement contract"
  }
]