{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HNGSHWFR344N3DMOTAGBG2F7KO","short_pith_number":"pith:HNGSHWFR","canonical_record":{"source":{"id":"1212.0188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-12-02T05:56:32Z","cross_cats_sorted":[],"title_canon_sha256":"8aab0297ad844d560faf6453285611ec66af8249f62c08c31c91d9528e273714","abstract_canon_sha256":"8354857693b039417cc4df973f8e5c9dcdc1eb524e9a1c77648e802f1f786c0c"},"schema_version":"1.0"},"canonical_sha256":"3b4d23d8b1df38dd8d8e980c1368bf538558ab878039c53cd135d8f2e0331547","source":{"kind":"arxiv","id":"1212.0188","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0188","created_at":"2026-05-18T03:39:26Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0188v1","created_at":"2026-05-18T03:39:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0188","created_at":"2026-05-18T03:39:26Z"},{"alias_kind":"pith_short_12","alias_value":"HNGSHWFR344N","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HNGSHWFR344N3DMO","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HNGSHWFR","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HNGSHWFR344N3DMOTAGBG2F7KO","target":"record","payload":{"canonical_record":{"source":{"id":"1212.0188","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-12-02T05:56:32Z","cross_cats_sorted":[],"title_canon_sha256":"8aab0297ad844d560faf6453285611ec66af8249f62c08c31c91d9528e273714","abstract_canon_sha256":"8354857693b039417cc4df973f8e5c9dcdc1eb524e9a1c77648e802f1f786c0c"},"schema_version":"1.0"},"canonical_sha256":"3b4d23d8b1df38dd8d8e980c1368bf538558ab878039c53cd135d8f2e0331547","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:26.935369Z","signature_b64":"m172wuGLywwpQDelCOtarhj6vtEI6DXwqaqHrPSOQtjo7ihahsy56/eAPdxHqtjprRHxdj2ZnRAfTx2l1/lwDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b4d23d8b1df38dd8d8e980c1368bf538558ab878039c53cd135d8f2e0331547","last_reissued_at":"2026-05-18T03:39:26.934513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:26.934513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.0188","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:39:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FkbFhitnNXU/S2QkLdQ5h6uZTljRkOI3T8Mgngu7XcaAmlDyGVck8Vfn7LfhZ31QzAGPjFeJ8w0sGDqu8vcxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T18:30:27.449613Z"},"content_sha256":"4da4dbce781a97e9f12dbac53c84195d847026d90f053aa9c9642e9666a5f801","schema_version":"1.0","event_id":"sha256:4da4dbce781a97e9f12dbac53c84195d847026d90f053aa9c9642e9666a5f801"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HNGSHWFR344N3DMOTAGBG2F7KO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An improved model for reduced-order physiological fluid flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Anne E. Staples, Omer San","submitted_at":"2012-12-02T05:56:32Z","abstract_excerpt":"An improved one-dimensional mathematical model based on Pulsed Flow Equations (PFE) is derived by integrating the axial component of the momentum equation over the transient Womersley velocity profile, providing a dynamic momentum equation whose coefficients are smoothly varying functions of the spatial variable. The resulting momentum equation along with the continuity equation and pressure-area relation form our reduced-order model for physiological fluid flows in one dimension, and are aimed at providing accurate and fast-to-compute global models for physiological systems represented as net"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0188","kind":"arxiv","version":1},"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":"2026-05-18T03:39:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5taAdTkvhW0uO52FfQtq+dr3vTAwAwqMvFHsTfH4gyo8KG11JrzPG7bmQjWYZPUk4HP+K+3TE8dbnFNPVhAwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T18:30:27.449946Z"},"content_sha256":"0534605265535dad5bd8d65d7f3c9bc0ac08dfaa00709e200a5b08446cccf12c","schema_version":"1.0","event_id":"sha256:0534605265535dad5bd8d65d7f3c9bc0ac08dfaa00709e200a5b08446cccf12c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HNGSHWFR344N3DMOTAGBG2F7KO/bundle.json","state_url":"https://pith.science/pith/HNGSHWFR344N3DMOTAGBG2F7KO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HNGSHWFR344N3DMOTAGBG2F7KO/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":"2026-06-20T18:30:27Z","links":{"resolver":"https://pith.science/pith/HNGSHWFR344N3DMOTAGBG2F7KO","bundle":"https://pith.science/pith/HNGSHWFR344N3DMOTAGBG2F7KO/bundle.json","state":"https://pith.science/pith/HNGSHWFR344N3DMOTAGBG2F7KO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HNGSHWFR344N3DMOTAGBG2F7KO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HNGSHWFR344N3DMOTAGBG2F7KO","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":"8354857693b039417cc4df973f8e5c9dcdc1eb524e9a1c77648e802f1f786c0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-12-02T05:56:32Z","title_canon_sha256":"8aab0297ad844d560faf6453285611ec66af8249f62c08c31c91d9528e273714"},"schema_version":"1.0","source":{"id":"1212.0188","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0188","created_at":"2026-05-18T03:39:26Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0188v1","created_at":"2026-05-18T03:39:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0188","created_at":"2026-05-18T03:39:26Z"},{"alias_kind":"pith_short_12","alias_value":"HNGSHWFR344N","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HNGSHWFR344N3DMO","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HNGSHWFR","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:0534605265535dad5bd8d65d7f3c9bc0ac08dfaa00709e200a5b08446cccf12c","target":"graph","created_at":"2026-05-18T03:39:26Z","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":"An improved one-dimensional mathematical model based on Pulsed Flow Equations (PFE) is derived by integrating the axial component of the momentum equation over the transient Womersley velocity profile, providing a dynamic momentum equation whose coefficients are smoothly varying functions of the spatial variable. The resulting momentum equation along with the continuity equation and pressure-area relation form our reduced-order model for physiological fluid flows in one dimension, and are aimed at providing accurate and fast-to-compute global models for physiological systems represented as net","authors_text":"Anne E. Staples, Omer San","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-12-02T05:56:32Z","title":"An improved model for reduced-order physiological fluid flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0188","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":"sha256:4da4dbce781a97e9f12dbac53c84195d847026d90f053aa9c9642e9666a5f801","target":"record","created_at":"2026-05-18T03:39:26Z","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":"8354857693b039417cc4df973f8e5c9dcdc1eb524e9a1c77648e802f1f786c0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-12-02T05:56:32Z","title_canon_sha256":"8aab0297ad844d560faf6453285611ec66af8249f62c08c31c91d9528e273714"},"schema_version":"1.0","source":{"id":"1212.0188","kind":"arxiv","version":1}},"canonical_sha256":"3b4d23d8b1df38dd8d8e980c1368bf538558ab878039c53cd135d8f2e0331547","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b4d23d8b1df38dd8d8e980c1368bf538558ab878039c53cd135d8f2e0331547","first_computed_at":"2026-05-18T03:39:26.934513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:26.934513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m172wuGLywwpQDelCOtarhj6vtEI6DXwqaqHrPSOQtjo7ihahsy56/eAPdxHqtjprRHxdj2ZnRAfTx2l1/lwDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:26.935369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0188","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4da4dbce781a97e9f12dbac53c84195d847026d90f053aa9c9642e9666a5f801","sha256:0534605265535dad5bd8d65d7f3c9bc0ac08dfaa00709e200a5b08446cccf12c"],"state_sha256":"ea10b86001b051079884dc47d045c45ac035b9a6b4f3961ed9f775b7a9f4266d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YT/3uzrAg+e2iy2W9v9zR4Bxvuc6W01lPUkIIhxzHpSvWmXp8T0Z9OaXV3HahJ7Bu/2Bjt96y6za6ILuoZ8LDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T18:30:27.451869Z","bundle_sha256":"85806b244648d1615111eb74acc1125a645084d256dadeb945fef390ffff649c"}}