{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Z2CIXIJM6TP3EDUCPMLSY4SGPO","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":"bab72886c62333c21da149b9a242a6f5f1e0996f966fe898f8a5a3723d20edf9","cross_cats_sorted":["cs.AI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-05-21T22:18:37Z","title_canon_sha256":"f46ffdba737c718166e608dddbec85ac79baa4750ad875a6dd35ab5f9dae2906"},"schema_version":"1.0","source":{"id":"2505.16058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.16058","created_at":"2026-07-05T11:07:29Z"},{"alias_kind":"arxiv_version","alias_value":"2505.16058v1","created_at":"2026-07-05T11:07:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.16058","created_at":"2026-07-05T11:07:29Z"},{"alias_kind":"pith_short_12","alias_value":"Z2CIXIJM6TP3","created_at":"2026-07-05T11:07:29Z"},{"alias_kind":"pith_short_16","alias_value":"Z2CIXIJM6TP3EDUC","created_at":"2026-07-05T11:07:29Z"},{"alias_kind":"pith_short_8","alias_value":"Z2CIXIJM","created_at":"2026-07-05T11:07:29Z"}],"graph_snapshots":[{"event_id":"sha256:038fb958a94212c29a0fc031bdd16034faaffefe91d7357872aa701f16675b81","target":"graph","created_at":"2026-07-05T11:07:29Z","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/2505.16058/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Identifying the governing equations of a dynamical system is one of the most important tasks for scientific modeling. However, this procedure often requires high-quality spatio-temporal data uniformly sampled on structured grids. In this paper, we propose mesh-free SINDy, a novel algorithm which leverages the power of neural network approximation as well as auto-differentiation to identify governing equations from arbitrary sensor placements and non-uniform temporal data sampling. We show that mesh-free SINDy is robust to high noise levels and limited data while remaining computationally effic","authors_text":"Bernat Font, J. Nathan Kutz, Mars Liyao Gao","cross_cats":["cs.AI","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-05-21T22:18:37Z","title":"Mesh-free sparse identification of nonlinear dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.16058","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":"sha256:619b47a0bde7257b28909f98a97afc2a4ea2a4028b49614b721dfc4187fcf0e5","target":"record","created_at":"2026-07-05T11:07:29Z","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":"bab72886c62333c21da149b9a242a6f5f1e0996f966fe898f8a5a3723d20edf9","cross_cats_sorted":["cs.AI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-05-21T22:18:37Z","title_canon_sha256":"f46ffdba737c718166e608dddbec85ac79baa4750ad875a6dd35ab5f9dae2906"},"schema_version":"1.0","source":{"id":"2505.16058","kind":"arxiv","version":1}},"canonical_sha256":"ce848ba12cf4dfb20e827b172c72467b973162201a0f49c308c12e5ff3c1076c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce848ba12cf4dfb20e827b172c72467b973162201a0f49c308c12e5ff3c1076c","first_computed_at":"2026-07-05T11:07:29.121547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:07:29.121547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3pJ9JWR5KVDwqWGKqIz++1pixQ6szzfVGTBWy/ZZL7iYvSHM1nowDzx1SZTx9diRuNAGqhYIcQyQvMYqQP3FCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:07:29.122010Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.16058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:619b47a0bde7257b28909f98a97afc2a4ea2a4028b49614b721dfc4187fcf0e5","sha256:038fb958a94212c29a0fc031bdd16034faaffefe91d7357872aa701f16675b81"],"state_sha256":"b80fd25fd09b37781055a74fff6405e68aaed0c527bd8bcec15f943f181a6369"}