{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:63TAIMT7KYIXNDQF4UB5G5HI4X","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":"502a4504ecc4aa98e48125294bead9d128ed78a987c1533760043a287db4d1c9","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-09-26T13:22:22Z","title_canon_sha256":"57de36b1e4e51525f931344fdc263e9399e8b59c9881242740ef1d2a8233ba8d"},"schema_version":"1.0","source":{"id":"2409.17825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.17825","created_at":"2026-07-05T09:12:16Z"},{"alias_kind":"arxiv_version","alias_value":"2409.17825v1","created_at":"2026-07-05T09:12:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.17825","created_at":"2026-07-05T09:12:16Z"},{"alias_kind":"pith_short_12","alias_value":"63TAIMT7KYIX","created_at":"2026-07-05T09:12:16Z"},{"alias_kind":"pith_short_16","alias_value":"63TAIMT7KYIXNDQF","created_at":"2026-07-05T09:12:16Z"},{"alias_kind":"pith_short_8","alias_value":"63TAIMT7","created_at":"2026-07-05T09:12:16Z"}],"graph_snapshots":[{"event_id":"sha256:aa75c4dba6cbaf39e115e1c3b02fccd2423f338e02318cb24ec2b4af76fc3a62","target":"graph","created_at":"2026-07-05T09:12:16Z","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/2409.17825/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The reconstruction of physical fields from sparse measurements is pivotal in both scientific research and engineering applications. Traditional methods are increasingly supplemented by deep learning models due to their efficacy in extracting features from data. However, except for the low accuracy on complex physical systems, these models often fail to comply with essential physical constraints, such as governing equations and boundary conditions. To overcome this limitation, we introduce a novel data-driven field reconstruction framework, termed the Physics-aligned Schr\\\"{o}dinger Bridge (Pal","authors_text":"Hongkun Dou, Lijun Yang, Shen Fang, Wang Han, Yue Deng, Zeyu Li","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-09-26T13:22:22Z","title":"Physics-aligned Schr\\\"{o}dinger bridge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.17825","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":"sha256:9b9688146aaf33c35ee138a20730b035c7a36dce98dba8adb111fadbcdb25630","target":"record","created_at":"2026-07-05T09:12:16Z","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":"502a4504ecc4aa98e48125294bead9d128ed78a987c1533760043a287db4d1c9","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2024-09-26T13:22:22Z","title_canon_sha256":"57de36b1e4e51525f931344fdc263e9399e8b59c9881242740ef1d2a8233ba8d"},"schema_version":"1.0","source":{"id":"2409.17825","kind":"arxiv","version":1}},"canonical_sha256":"f6e604327f5611768e05e503d374e8e5fe75650dc74726c5b552df3d5505239f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6e604327f5611768e05e503d374e8e5fe75650dc74726c5b552df3d5505239f","first_computed_at":"2026-07-05T09:12:16.215016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:12:16.215016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KC6cECH9GWbGnH63dUii9vCS7ZXIFwNODQ7gJ7K6bJx6xt4ASKkSzqDYHvqJKCPd0Jw9SF3HdE4ayuNI4ipTCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:12:16.215497Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.17825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b9688146aaf33c35ee138a20730b035c7a36dce98dba8adb111fadbcdb25630","sha256:aa75c4dba6cbaf39e115e1c3b02fccd2423f338e02318cb24ec2b4af76fc3a62"],"state_sha256":"502188309b43da746359a5bad35118c9baf862f4fd845e1b96ca8a1a361a919e"}