{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:XPLXXGUJGL5GCRBSTMMGK57YYQ","short_pith_number":"pith:XPLXXGUJ","schema_version":"1.0","canonical_sha256":"bbd77b9a8932fa6144329b186577f8c435ab56bc4fe86d19a5d3596285368e46","source":{"kind":"arxiv","id":"1205.6033","version":1},"attestation_state":"computed","paper":{"title":"A \"well-balanced\" finite volume scheme for blood flow simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","cs.NA"],"primary_cat":"math.NA","authors_text":"Olivier Delestre (JAD), Pierre-Yves Lagr\\'ee (IJLRA)","submitted_at":"2012-05-28T06:19:14Z","abstract_excerpt":"We are interested in simulating blood flow in arteries with a one dimensional model. Thanks to recent developments in the analysis of hyperbolic system of conservation laws (in the Saint-Venant/ shallow water equations context) we will perform a simple finite volume scheme. We focus on conservation properties of this scheme which were not previously considered. To emphasize the necessity of this scheme, we present how a too simple numerical scheme may induce spurious flows when the basic static shape of the radius changes. On contrary, the proposed scheme is \"well-balanced\": it preserves equil"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.6033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-05-28T06:19:14Z","cross_cats_sorted":["cs.CE","cs.NA"],"title_canon_sha256":"04fc01d741d5b4b33a09631db8dcf565ec67f4be9bcfb9e287b30b9e32082f15","abstract_canon_sha256":"b2f3f3b55a9f926c169bebef7520f806a49bc772aa7aaea2368dc5a343fbf7b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:23.177926Z","signature_b64":"3Wm0GfXGV/icCx639dbpopSsSgrqOQOTwhqIi8GWlsY+WmINQNlZvG+xF4xPx8kiliBNDpyAmv2N/AS5R4TfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbd77b9a8932fa6144329b186577f8c435ab56bc4fe86d19a5d3596285368e46","last_reissued_at":"2026-05-18T03:27:23.177233Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:23.177233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A \"well-balanced\" finite volume scheme for blood flow simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","cs.NA"],"primary_cat":"math.NA","authors_text":"Olivier Delestre (JAD), Pierre-Yves Lagr\\'ee (IJLRA)","submitted_at":"2012-05-28T06:19:14Z","abstract_excerpt":"We are interested in simulating blood flow in arteries with a one dimensional model. Thanks to recent developments in the analysis of hyperbolic system of conservation laws (in the Saint-Venant/ shallow water equations context) we will perform a simple finite volume scheme. We focus on conservation properties of this scheme which were not previously considered. To emphasize the necessity of this scheme, we present how a too simple numerical scheme may induce spurious flows when the basic static shape of the radius changes. On contrary, the proposed scheme is \"well-balanced\": it preserves equil"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6033","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1205.6033","created_at":"2026-05-18T03:27:23.177333+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.6033v1","created_at":"2026-05-18T03:27:23.177333+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6033","created_at":"2026-05-18T03:27:23.177333+00:00"},{"alias_kind":"pith_short_12","alias_value":"XPLXXGUJGL5G","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XPLXXGUJGL5GCRBS","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XPLXXGUJ","created_at":"2026-05-18T12:27:27.928770+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XPLXXGUJGL5GCRBSTMMGK57YYQ","json":"https://pith.science/pith/XPLXXGUJGL5GCRBSTMMGK57YYQ.json","graph_json":"https://pith.science/api/pith-number/XPLXXGUJGL5GCRBSTMMGK57YYQ/graph.json","events_json":"https://pith.science/api/pith-number/XPLXXGUJGL5GCRBSTMMGK57YYQ/events.json","paper":"https://pith.science/paper/XPLXXGUJ"},"agent_actions":{"view_html":"https://pith.science/pith/XPLXXGUJGL5GCRBSTMMGK57YYQ","download_json":"https://pith.science/pith/XPLXXGUJGL5GCRBSTMMGK57YYQ.json","view_paper":"https://pith.science/paper/XPLXXGUJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.6033&json=true","fetch_graph":"https://pith.science/api/pith-number/XPLXXGUJGL5GCRBSTMMGK57YYQ/graph.json","fetch_events":"https://pith.science/api/pith-number/XPLXXGUJGL5GCRBSTMMGK57YYQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XPLXXGUJGL5GCRBSTMMGK57YYQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XPLXXGUJGL5GCRBSTMMGK57YYQ/action/storage_attestation","attest_author":"https://pith.science/pith/XPLXXGUJGL5GCRBSTMMGK57YYQ/action/author_attestation","sign_citation":"https://pith.science/pith/XPLXXGUJGL5GCRBSTMMGK57YYQ/action/citation_signature","submit_replication":"https://pith.science/pith/XPLXXGUJGL5GCRBSTMMGK57YYQ/action/replication_record"}},"created_at":"2026-05-18T03:27:23.177333+00:00","updated_at":"2026-05-18T03:27:23.177333+00:00"}