{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GJKFGE7XISN7NUIELK7IDGRDKC","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":"0582d5670d8f6827929d3dbd997bd822e7ca1405085a3d4d876f6a35547b9d8d","cross_cats_sorted":["math.NA","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-11-20T15:29:41Z","title_canon_sha256":"f86c60bd92d17a763d25908463d00352d69fbc70a6d07d0caa8343ca76faebb8"},"schema_version":"1.0","source":{"id":"1411.5574","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.5574","created_at":"2026-05-18T02:18:21Z"},{"alias_kind":"arxiv_version","alias_value":"1411.5574v3","created_at":"2026-05-18T02:18:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5574","created_at":"2026-05-18T02:18:21Z"},{"alias_kind":"pith_short_12","alias_value":"GJKFGE7XISN7","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GJKFGE7XISN7NUIE","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GJKFGE7X","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:2009ad326a4d0f825adcbce863bcfe878af1e7023c58a9e7843ccbca78940218","target":"graph","created_at":"2026-05-18T02:18:21Z","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"},"paper":{"abstract_excerpt":"Mathematical modeling at the level of the full cardiovascular system requires the numerical approximation of solutions to a one-dimensional nonlinear hyperbolic system describing flow in a single vessel. This model is often simulated by computationally intensive methods like finite elements and discontinuous Galerkin, while some recent applications require more efficient approaches (e.g. for real-time clinical decision support, phenomena occurring over multiple cardiac cycles, iterative solutions to optimization/inverse problems, and uncertainty quantification). Further, the high speed of pres","authors_text":"Beatrice Riviere, Charles Puelz, Craig G. Rusin, Daniel J. Penny, Sebastian Acosta","cross_cats":["math.NA","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-11-20T15:29:41Z","title":"Numerical method of characteristics for one-dimensional blood flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5574","kind":"arxiv","version":3},"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:a23650f8bcfa4774e7bfc6498d312ba2a6904d45e4157b1968725d4dcc1ff1ba","target":"record","created_at":"2026-05-18T02:18:21Z","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":"0582d5670d8f6827929d3dbd997bd822e7ca1405085a3d4d876f6a35547b9d8d","cross_cats_sorted":["math.NA","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-11-20T15:29:41Z","title_canon_sha256":"f86c60bd92d17a763d25908463d00352d69fbc70a6d07d0caa8343ca76faebb8"},"schema_version":"1.0","source":{"id":"1411.5574","kind":"arxiv","version":3}},"canonical_sha256":"32545313f7449bf6d1045abe819a2350adafa08e9032bf9683399c1b8506968b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32545313f7449bf6d1045abe819a2350adafa08e9032bf9683399c1b8506968b","first_computed_at":"2026-05-18T02:18:21.695381Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:21.695381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DLoVDAEJ1y5pqQu6170K13Xs2/723Pw9+mrqSPej3/r2G27RNfZBEi0p6MzmrZVI9HZ6a8lMWaI+wZaJ6XDdAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:21.698474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.5574","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a23650f8bcfa4774e7bfc6498d312ba2a6904d45e4157b1968725d4dcc1ff1ba","sha256:2009ad326a4d0f825adcbce863bcfe878af1e7023c58a9e7843ccbca78940218"],"state_sha256":"2120eae56f941f04d87924a58811a10e8d97bfd961260d122e9591fd41662d31"}