{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JP6X7YHCJLRR4ZO2KZLARZSCGP","short_pith_number":"pith:JP6X7YHC","canonical_record":{"source":{"id":"1808.01998","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.QM","submitted_at":"2018-08-06T17:11:49Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"b6ad1944202a78bba423c6c537a1b80c668701153404eede18d0e2fcc0a96bf3","abstract_canon_sha256":"f673b17afbf43ff52e0f32b34976f50ae79cdbb01792cd270371ebb0f3ea4686"},"schema_version":"1.0"},"canonical_sha256":"4bfd7fe0e24ae31e65da565608e64233fd20053b642bad446eab9c5deaa98ed1","source":{"kind":"arxiv","id":"1808.01998","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JP6X7YHCJLRR4ZO2KZLARZSCGP","target":"record","payload":{"canonical_record":{"source":{"id":"1808.01998","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.QM","submitted_at":"2018-08-06T17:11:49Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"b6ad1944202a78bba423c6c537a1b80c668701153404eede18d0e2fcc0a96bf3","abstract_canon_sha256":"f673b17afbf43ff52e0f32b34976f50ae79cdbb01792cd270371ebb0f3ea4686"},"schema_version":"1.0"},"canonical_sha256":"4bfd7fe0e24ae31e65da565608e64233fd20053b642bad446eab9c5deaa98ed1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:12.955649Z","signature_b64":"o3/g6Qr/W2nQ1sq/iGys6DB0EBvAtIuK0ixdUQTwXwlu1nsLyS93WRWC7e8StOrAppK8NLzAV1/CoNoUWJj2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bfd7fe0e24ae31e65da565608e64233fd20053b642bad446eab9c5deaa98ed1","last_reissued_at":"2026-05-18T00:00:12.955041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:12.955041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.01998","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hrm/wbKjtP3Ai7D5iiuRq0xyJce6aSCdTruQSHLYQrXV+oSN03cfEkbGred+9zDnuu1DUI5hmjxEE9aqsNgTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:14:21.311911Z"},"content_sha256":"1cce16d9e4205bc1e0ff216bd74a695be7eb71a5a77044aa483c31a8948c1adc","schema_version":"1.0","event_id":"sha256:1cce16d9e4205bc1e0ff216bd74a695be7eb71a5a77044aa483c31a8948c1adc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JP6X7YHCJLRR4ZO2KZLARZSCGP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hodge Decomposition of the wall shear stress vector fields characterizing biological flows","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"q-bio.QM","authors_text":"Faniry H. Razafindrazaka, Konrad Polthier, Konstantin Poelke, Leonid Goubergrits, Pavlo Yevtushenko","submitted_at":"2018-08-06T17:11:49Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01998","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RtazwnRCbs8bmADvKk/K7hWXD1oSM8G4SCveWntJ9MREDBmT1f9WIGXrpcHLN+xC3u+KZrCXYzbpp01uyekZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:14:21.312262Z"},"content_sha256":"dcfb1fa19b346efd448cb6b5122eea914532984773d687e2e1ddd0908f0c1138","schema_version":"1.0","event_id":"sha256:dcfb1fa19b346efd448cb6b5122eea914532984773d687e2e1ddd0908f0c1138"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JP6X7YHCJLRR4ZO2KZLARZSCGP/bundle.json","state_url":"https://pith.science/pith/JP6X7YHCJLRR4ZO2KZLARZSCGP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JP6X7YHCJLRR4ZO2KZLARZSCGP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T00:14:21Z","links":{"resolver":"https://pith.science/pith/JP6X7YHCJLRR4ZO2KZLARZSCGP","bundle":"https://pith.science/pith/JP6X7YHCJLRR4ZO2KZLARZSCGP/bundle.json","state":"https://pith.science/pith/JP6X7YHCJLRR4ZO2KZLARZSCGP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JP6X7YHCJLRR4ZO2KZLARZSCGP/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6gub4syRUykeC/THy3Nz5dsSyqmJHyjPakdzjxi/V9ksp5xf5RE0NP4Z7/+WU9Xd5+R3h3j3QrpscYkm4LLKCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T00:14:21.314219Z","bundle_sha256":"ca4b8f9c8f6cfc1823601c2533759e064e320b725257af0f70a4f75f695980c7"}}