{ "version": "2.0.0", "claims": [ { "id": "C1", "title": "Finite-clock identification", "manuscript_location": "Theorem 5", "status": "proved_under_assumptions", "externally_reviewed": false }, { "id": "C2", "title": "Marginal separation and aliasing", "manuscript_location": "Proposition 7; Theorem 8", "status": "proved_counterexamples", "externally_reviewed": false }, { "id": "C3", "title": "Conditional reconstruction stability", "manuscript_location": "Proposition 9; Corollary 10", "status": "proved_under_assumptions", "externally_reviewed": false }, { "id": "C4", "title": "Cost exponents recover observability depths", "manuscript_location": "Theorem 11", "status": "proved_under_assumptions", "externally_reviewed": false }, { "id": "C5a", "title": "Sharp deterministic precision power for chain pair", "manuscript_location": "Theorem 12", "status": "proved_under_assumptions", "externally_reviewed": false }, { "id": "C5b", "title": "Matching Gaussian repetition power for known pair", "manuscript_location": "Theorem 13", "status": "proved_under_assumptions", "externally_reviewed": false }, { "id": "N1", "title": "Historical first-ever priority", "manuscript_location": null, "status": "unestablished", "externally_reviewed": false }, { "id": "G1", "title": "Universal physical-law reconstruction", "manuscript_location": null, "status": "open", "externally_reviewed": false }, { "id": "C6", "title": "Observable circle/disk systems indistinguishable by every joint linear support probe", "manuscript_location": "Proposition 14", "status": "proved_counterexample", "externally_reviewed": false }, { "id": "C7", "title": "Conditional nonlinear flow and cost identification from quadratic mismatch graphs", "manuscript_location": "Theorem 15", "status": "proved_under_assumptions", "externally_reviewed": false, "infinite_data": true }, { "id": "C8a", "title": "Finite-grid Hausdorff upper bound and sharp square-root noise exponent", "manuscript_location": "Theorem 16", "status": "proved_under_assumptions", "externally_reviewed": false }, { "id": "C8b", "title": "Aligned graph-to-map stability", "manuscript_location": "Proposition 17", "status": "proved_under_assumptions", "externally_reviewed": false }, { "id": "C8c", "title": "Anchored quadratic readout with shared-timing drift bound", "manuscript_location": "Proposition 18", "status": "proved_under_assumptions", "externally_reviewed": false }, { "id": "C9", "title": "Explicit nonlinear delay embedding and absence of a finite linear realization with linear readout", "manuscript_location": "Proposition 19", "status": "proved_under_assumptions", "externally_reviewed": false } ] }