{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TSOQJ5OAT4PQJB2ZRDYCDHRQGT","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":"18e20435331b456e878878ef9e13191a2b7b727946f53e75d32c32bc6ac84385","cross_cats_sorted":["physics.bio-ph","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-17T06:06:53Z","title_canon_sha256":"a150e3e763b0b4bf95965dc59e45b3a99d77927a445685fe97311429a81d5ec6"},"schema_version":"1.0","source":{"id":"2504.12675","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.12675","created_at":"2026-07-05T10:52:22Z"},{"alias_kind":"arxiv_version","alias_value":"2504.12675v2","created_at":"2026-07-05T10:52:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.12675","created_at":"2026-07-05T10:52:22Z"},{"alias_kind":"pith_short_12","alias_value":"TSOQJ5OAT4PQ","created_at":"2026-07-05T10:52:22Z"},{"alias_kind":"pith_short_16","alias_value":"TSOQJ5OAT4PQJB2Z","created_at":"2026-07-05T10:52:22Z"},{"alias_kind":"pith_short_8","alias_value":"TSOQJ5OA","created_at":"2026-07-05T10:52:22Z"}],"graph_snapshots":[{"event_id":"sha256:72e16a972175b692806add8ffa23e1513dccb9e597551d4f8a482e95383ed0b9","target":"graph","created_at":"2026-07-05T10:52:22Z","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/2504.12675/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A physics-informed neural network (PINN) models the dynamics of a system by integrating the governing physical laws into the architecture of a neural network. By enforcing physical laws as constraints, PINN overcomes challenges with data scarsity and potentially high dimensionality. Existing PINN frameworks rely on fully observed time-course data, the acquisition of which could be prohibitive for many systems. In this study, we developed a new PINN learning paradigm, namely Constrained Learning, that enables the approximation of first-order derivatives or motions using non-time course or parti","authors_text":"Chi Zhang, Guang Lin, Melissa Fishel, Pengtao Dang, Sha Cao, Tingbo Guo, Wenzhuo Wu","cross_cats":["physics.bio-ph","q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-17T06:06:53Z","title":"Physics Informed Constrained Learning of Dynamics from Static Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.12675","kind":"arxiv","version":2},"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:cd07dbfe57b2a04053bec8a36e8425491331912eed80b561e1cd91faadc406f7","target":"record","created_at":"2026-07-05T10:52:22Z","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":"18e20435331b456e878878ef9e13191a2b7b727946f53e75d32c32bc6ac84385","cross_cats_sorted":["physics.bio-ph","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-17T06:06:53Z","title_canon_sha256":"a150e3e763b0b4bf95965dc59e45b3a99d77927a445685fe97311429a81d5ec6"},"schema_version":"1.0","source":{"id":"2504.12675","kind":"arxiv","version":2}},"canonical_sha256":"9c9d04f5c09f1f04875988f0219e3034c38d5856be6b80c624af3d6d1de3e412","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c9d04f5c09f1f04875988f0219e3034c38d5856be6b80c624af3d6d1de3e412","first_computed_at":"2026-07-05T10:52:22.805770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:52:22.805770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iCInjOOz1ybfLNQ20GH/oTG+UDoxFnRaboCaFCu5Uga9eSm3t4StB6h5amlyZBSmhUBUDH3/tgr3MetUSm0bAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:52:22.806278Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.12675","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd07dbfe57b2a04053bec8a36e8425491331912eed80b561e1cd91faadc406f7","sha256:72e16a972175b692806add8ffa23e1513dccb9e597551d4f8a482e95383ed0b9"],"state_sha256":"60b9239d50e66f6cc64eaed386f0b3f26ba5bc06e9e5a4a7861782aff3b79a7c"}