{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:WLW6UWDIRYKO5THBWTHB2EEMOD","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":"6606867b8d9fceebeb965c0ab733ae0a33b402f9534ba22a5fd9d71854b2e609","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2023-09-13T10:50:04Z","title_canon_sha256":"25978d6261912c2ae1a5e8540832d12d0c8935a15da47657d611be4a4f6fc1ba"},"schema_version":"1.0","source":{"id":"2309.07193","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.07193","created_at":"2026-07-05T06:50:32Z"},{"alias_kind":"arxiv_version","alias_value":"2309.07193v1","created_at":"2026-07-05T06:50:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.07193","created_at":"2026-07-05T06:50:32Z"},{"alias_kind":"pith_short_12","alias_value":"WLW6UWDIRYKO","created_at":"2026-07-05T06:50:32Z"},{"alias_kind":"pith_short_16","alias_value":"WLW6UWDIRYKO5THB","created_at":"2026-07-05T06:50:32Z"},{"alias_kind":"pith_short_8","alias_value":"WLW6UWDI","created_at":"2026-07-05T06:50:32Z"}],"graph_snapshots":[{"event_id":"sha256:dcb60cd93032b78655a5dfafba2d34e788ccbbe7355a6a816e24939288e29752","target":"graph","created_at":"2026-07-05T06:50:32Z","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/2309.07193/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The discovery of governing equations from data has been an active field of research for decades. One widely used methodology for this purpose is sparse regression for nonlinear dynamics, known as SINDy. Despite several attempts, noisy and scarce data still pose a severe challenge to the success of the SINDy approach. In this work, we discuss a robust method to discover nonlinear governing equations from noisy and scarce data. To do this, we make use of neural networks to learn an implicit representation based on measurement data so that not only it produces the output in the vicinity of the me","authors_text":"Ali Forootani, Pawan Goyal, Peter Benner","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2023-09-13T10:50:04Z","title":"A Robust SINDy Approach by Combining Neural Networks and an Integral Form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.07193","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:a22e55fc382e5049b6d6fb0d11dd2efe73030f41052ad2a24ddc8155568e4d96","target":"record","created_at":"2026-07-05T06:50:32Z","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":"6606867b8d9fceebeb965c0ab733ae0a33b402f9534ba22a5fd9d71854b2e609","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2023-09-13T10:50:04Z","title_canon_sha256":"25978d6261912c2ae1a5e8540832d12d0c8935a15da47657d611be4a4f6fc1ba"},"schema_version":"1.0","source":{"id":"2309.07193","kind":"arxiv","version":1}},"canonical_sha256":"b2edea58688e14eecce1b4ce1d108c70f26b25fd98b586eafb37d563c0ff5220","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2edea58688e14eecce1b4ce1d108c70f26b25fd98b586eafb37d563c0ff5220","first_computed_at":"2026-07-05T06:50:32.020953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:50:32.020953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4acZyET/qUAKgbaH17yJe10CU8JwXmLHYRJ3mik7YJ+B3qdYiBtSeEo7RN0A5VMrkp/Q2VZsCwFiDBUw1bwSBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:50:32.021363Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.07193","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a22e55fc382e5049b6d6fb0d11dd2efe73030f41052ad2a24ddc8155568e4d96","sha256:dcb60cd93032b78655a5dfafba2d34e788ccbbe7355a6a816e24939288e29752"],"state_sha256":"e203487ad511f3eeeb13843cb69e9052c56c7c805990277e0a04c0d5bad1faec"}