{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AW3WBMVGXREXAMKU3PZG3TTVJY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d5b42242db72db52dd529b5684e71e701a701fe6f0c86f88a84bd30d5f1ded4a","cross_cats_sorted":["cs.LG","nlin.CD","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-01-31T23:27:33Z","title_canon_sha256":"0d71000946312d801e3affb644db071f82d781513d17c128e1f4ea169739d693"},"schema_version":"1.0","source":{"id":"2502.05204","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.05204","created_at":"2026-07-05T10:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"2502.05204v1","created_at":"2026-07-05T10:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.05204","created_at":"2026-07-05T10:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"AW3WBMVGXREX","created_at":"2026-07-05T10:11:34Z"},{"alias_kind":"pith_short_16","alias_value":"AW3WBMVGXREXAMKU","created_at":"2026-07-05T10:11:34Z"},{"alias_kind":"pith_short_8","alias_value":"AW3WBMVG","created_at":"2026-07-05T10:11:34Z"}],"graph_snapshots":[{"event_id":"sha256:178b7698c5974a0694203bd962407d96a676dccb65881ea9fd819dc145cd1e66","target":"graph","created_at":"2026-07-05T10:11:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.05204/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a novel approach for performing dynamical system identification, based upon the comparison of simulated and observed physical invariant measures. While standard methods adopt a Lagrangian perspective by directly treating time-trajectories as inference data, we take on an Eulerian perspective and instead seek models fitting the observed global time-invariant statistics. With this change in perspective, we gain robustness against pervasive challenges in system identification including noise, chaos, and slow sampling. In the first half of this paper, we pose the system identification t","authors_text":"Jonah Botvinick-Greenhouse","cross_cats":["cs.LG","nlin.CD","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-01-31T23:27:33Z","title":"Invariant Measures for Data-Driven Dynamical System Identification: Analysis and Application"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.05204","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a5996f9ca245a856913476f361ef25c6b33e313dd7b5416f2b36e79537661409","target":"record","created_at":"2026-07-05T10:11:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d5b42242db72db52dd529b5684e71e701a701fe6f0c86f88a84bd30d5f1ded4a","cross_cats_sorted":["cs.LG","nlin.CD","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-01-31T23:27:33Z","title_canon_sha256":"0d71000946312d801e3affb644db071f82d781513d17c128e1f4ea169739d693"},"schema_version":"1.0","source":{"id":"2502.05204","kind":"arxiv","version":1}},"canonical_sha256":"05b760b2a6bc49703154dbf26dce754e39299ecb2f8e74571db54bed9d48a255","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05b760b2a6bc49703154dbf26dce754e39299ecb2f8e74571db54bed9d48a255","first_computed_at":"2026-07-05T10:11:34.087291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:11:34.087291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W/zvw98iwrnroKIiKF19WsIfUml9H51L8FAbxwb7qf23lLjjso4g2kxNy3Xxm8+l2Cw48pSN24gxLsjuiutxCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:11:34.087658Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.05204","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5996f9ca245a856913476f361ef25c6b33e313dd7b5416f2b36e79537661409","sha256:178b7698c5974a0694203bd962407d96a676dccb65881ea9fd819dc145cd1e66"],"state_sha256":"9b5d658a6726c7b63faf5c743b293969eef3ad7adc27242203921b675048511c"}