Datasets:
Formats:
csv
Languages:
English
Size:
100K - 1M
Tags:
research-artifact
synthetic-data
mathematical-proofs
system-identification
inverse-problems
nonlinear-dynamics
License:
| { | |
| "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 | |
| } | |
| ] | |
| } | |