{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JP6X7YHCJLRR4ZO2KZLARZSCGP","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":"f673b17afbf43ff52e0f32b34976f50ae79cdbb01792cd270371ebb0f3ea4686","cross_cats_sorted":["physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.QM","submitted_at":"2018-08-06T17:11:49Z","title_canon_sha256":"b6ad1944202a78bba423c6c537a1b80c668701153404eede18d0e2fcc0a96bf3"},"schema_version":"1.0","source":{"id":"1808.01998","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.01998","created_at":"2026-05-18T00:00:12Z"},{"alias_kind":"arxiv_version","alias_value":"1808.01998v3","created_at":"2026-05-18T00:00:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.01998","created_at":"2026-05-18T00:00:12Z"},{"alias_kind":"pith_short_12","alias_value":"JP6X7YHCJLRR","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JP6X7YHCJLRR4ZO2","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JP6X7YHC","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:dcfb1fa19b346efd448cb6b5122eea914532984773d687e2e1ddd0908f0c1138","target":"graph","created_at":"2026-05-18T00:00:12Z","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"},"paper":{"abstract_excerpt":"A discrete boundary-sensitive Hodge decomposition is proposed as a central tool for the analysis of wall shear stress (WSS) vector fields in aortic blood flows. The method is based on novel results for the smooth and discrete Hodge-Morrey-Friedrichs decomposition on manifolds with boundary and subdivides the WSS vector field into five components: gradient (curl-free), co-gradient (divergence-free), and three harmonic fields induced from the boundary, which are called the center, Neumann and Dirichlet fields. First, an analysis of WSS in several simulated simplified phantom geometries (duct and","authors_text":"Faniry H. Razafindrazaka, Konrad Polthier, Konstantin Poelke, Leonid Goubergrits, Pavlo Yevtushenko","cross_cats":["physics.bio-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.QM","submitted_at":"2018-08-06T17:11:49Z","title":"Hodge Decomposition of the wall shear stress vector fields characterizing biological flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01998","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":"sha256:1cce16d9e4205bc1e0ff216bd74a695be7eb71a5a77044aa483c31a8948c1adc","target":"record","created_at":"2026-05-18T00:00:12Z","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":"f673b17afbf43ff52e0f32b34976f50ae79cdbb01792cd270371ebb0f3ea4686","cross_cats_sorted":["physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.QM","submitted_at":"2018-08-06T17:11:49Z","title_canon_sha256":"b6ad1944202a78bba423c6c537a1b80c668701153404eede18d0e2fcc0a96bf3"},"schema_version":"1.0","source":{"id":"1808.01998","kind":"arxiv","version":3}},"canonical_sha256":"4bfd7fe0e24ae31e65da565608e64233fd20053b642bad446eab9c5deaa98ed1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bfd7fe0e24ae31e65da565608e64233fd20053b642bad446eab9c5deaa98ed1","first_computed_at":"2026-05-18T00:00:12.955041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:12.955041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o3/g6Qr/W2nQ1sq/iGys6DB0EBvAtIuK0ixdUQTwXwlu1nsLyS93WRWC7e8StOrAppK8NLzAV1/CoNoUWJj2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:12.955649Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.01998","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1cce16d9e4205bc1e0ff216bd74a695be7eb71a5a77044aa483c31a8948c1adc","sha256:dcfb1fa19b346efd448cb6b5122eea914532984773d687e2e1ddd0908f0c1138"],"state_sha256":"e182dd3713fc7069c816fdb9aa030cce0b4d5722bdbd7b2fc2a86752320014b5"}