{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WTXZ23BDDIQC5LY2HCZ5KSKPB7","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":"e285f47004220f2d234a06de86017f75784a5b1bff0ada027eddd3f636d334ca","cross_cats_sorted":["cs.NA","math.NA","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-09T02:29:14Z","title_canon_sha256":"a5aab56c7cf2142fee043b0aca8d287b3e846e139691800470a54ce417e83894"},"schema_version":"1.0","source":{"id":"2606.10335","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10335","created_at":"2026-06-10T01:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10335v1","created_at":"2026-06-10T01:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10335","created_at":"2026-06-10T01:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"WTXZ23BDDIQC","created_at":"2026-06-10T01:10:12Z"},{"alias_kind":"pith_short_16","alias_value":"WTXZ23BDDIQC5LY2","created_at":"2026-06-10T01:10:12Z"},{"alias_kind":"pith_short_8","alias_value":"WTXZ23BD","created_at":"2026-06-10T01:10:12Z"}],"graph_snapshots":[{"event_id":"sha256:cf181fbb51b1b328ea1e5844da0bc1251f68fbd19d94ce2a2b89ba15fb95e663","target":"graph","created_at":"2026-06-10T01:10:12Z","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/2606.10335/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Continuous approximations of flow data are useful for downstream analysis, differentiation, and visualization, but purely data-driven reconstructions do not, in general, preserve the governing physics. This limitation becomes particularly important when input data are physically inconsistent, whether due to low-fidelity discretizations or unmodeled discrepancies. In such cases, reconstructed fields may exhibit inaccurate PDE residuals, violated balance laws, or unreliable derived quantities. To address this, we propose a physics-informed B-spline framework that embeds physical constraints dire","authors_text":"David Lenz, Emil Constantinescu, Junoh Jung, Tom Peterka","cross_cats":["cs.NA","math.NA","physics.flu-dyn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-09T02:29:14Z","title":"A Physics-Informed B-Spline Framework for Continuous Approximation of Flow Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10335","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":"sha256:5fa3bb5bce46c97c8d51bac5c304e1203e6fa0acb985081e1f665618b1892544","target":"record","created_at":"2026-06-10T01:10:12Z","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":"e285f47004220f2d234a06de86017f75784a5b1bff0ada027eddd3f636d334ca","cross_cats_sorted":["cs.NA","math.NA","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-09T02:29:14Z","title_canon_sha256":"a5aab56c7cf2142fee043b0aca8d287b3e846e139691800470a54ce417e83894"},"schema_version":"1.0","source":{"id":"2606.10335","kind":"arxiv","version":1}},"canonical_sha256":"b4ef9d6c231a202eaf1a38b3d5494f0ff8b9c1f8f0998c8e2c7bb1707bf3fb1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4ef9d6c231a202eaf1a38b3d5494f0ff8b9c1f8f0998c8e2c7bb1707bf3fb1a","first_computed_at":"2026-06-10T01:10:12.375343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:10:12.375343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sDa2iMXgpzxdloevzl11JoMP8D6fbGYUaBbVjoTeJIGajyVYwRCAYiFPLSyw3B2VLcdi4zGOySIwZtFqvQoVDw==","signature_status":"signed_v1","signed_at":"2026-06-10T01:10:12.376081Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10335","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fa3bb5bce46c97c8d51bac5c304e1203e6fa0acb985081e1f665618b1892544","sha256:cf181fbb51b1b328ea1e5844da0bc1251f68fbd19d94ce2a2b89ba15fb95e663"],"state_sha256":"8958186c0bffd9ffc48d434d6cabc4c57f996ae7d61d192ce8b6185b78015527"}