{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HAHGZ74SQRYDGC2KKNUH6MEAZC","short_pith_number":"pith:HAHGZ74S","schema_version":"1.0","canonical_sha256":"380e6cff928470330b4a53687f3080c8a0f8b6622d5a3a59d8dfd2a0f10863a5","source":{"kind":"arxiv","id":"1908.03087","version":1},"attestation_state":"computed","paper":{"title":"A second-order face-centred finite volume method for elliptic problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","cs.NA"],"primary_cat":"math.NA","authors_text":"Antonio Huerta, Luan M Vieira, Matteo Giacomini, Ruben Sevilla","submitted_at":"2019-08-08T14:11:59Z","abstract_excerpt":"A second-order face-centred finite volume method (FCFV) is proposed. Contrary to the more popular cell-centred and vertex-centred finite volume (FV) techniques, the proposed method defines the solution on the faces of the mesh (edges in two dimensions). The method is based on a mixed formulation and therefore considers the solution and its gradient as independent unknowns. They are computed solving an element-by-element problem after the solution at the faces is determined. The proposed approach avoids the need of reconstructing the solution gradient, as required by cell-centred and vertex-cen"},"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":"1908.03087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-08T14:11:59Z","cross_cats_sorted":["cs.CE","cs.NA"],"title_canon_sha256":"76d28e04f9e4004ef0a41352d6c9f623aa18165d3eb6270e13e09d454119c2d9","abstract_canon_sha256":"eca47eb9bf8f4ad6ce65342ea4c15742b4c07637c1a108843ad28c983f5ba2b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:18:09.532042Z","signature_b64":"c+C2rNqbWdHtwONe423nGmccu5KAxsUTE4C3mBml/PquesHBf+yGTRtYQUsPaSaLCi4w/bE0pTGeZ8rS15xEBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"380e6cff928470330b4a53687f3080c8a0f8b6622d5a3a59d8dfd2a0f10863a5","last_reissued_at":"2026-07-05T00:18:09.531634Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:18:09.531634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A second-order face-centred finite volume method for elliptic problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","cs.NA"],"primary_cat":"math.NA","authors_text":"Antonio Huerta, Luan M Vieira, Matteo Giacomini, Ruben Sevilla","submitted_at":"2019-08-08T14:11:59Z","abstract_excerpt":"A second-order face-centred finite volume method (FCFV) is proposed. Contrary to the more popular cell-centred and vertex-centred finite volume (FV) techniques, the proposed method defines the solution on the faces of the mesh (edges in two dimensions). The method is based on a mixed formulation and therefore considers the solution and its gradient as independent unknowns. They are computed solving an element-by-element problem after the solution at the faces is determined. The proposed approach avoids the need of reconstructing the solution gradient, as required by cell-centred and vertex-cen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03087","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.03087/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1908.03087","created_at":"2026-07-05T00:18:09.531692+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.03087v1","created_at":"2026-07-05T00:18:09.531692+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03087","created_at":"2026-07-05T00:18:09.531692+00:00"},{"alias_kind":"pith_short_12","alias_value":"HAHGZ74SQRYD","created_at":"2026-07-05T00:18:09.531692+00:00"},{"alias_kind":"pith_short_16","alias_value":"HAHGZ74SQRYDGC2K","created_at":"2026-07-05T00:18:09.531692+00:00"},{"alias_kind":"pith_short_8","alias_value":"HAHGZ74S","created_at":"2026-07-05T00:18:09.531692+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/HAHGZ74SQRYDGC2KKNUH6MEAZC","json":"https://pith.science/pith/HAHGZ74SQRYDGC2KKNUH6MEAZC.json","graph_json":"https://pith.science/api/pith-number/HAHGZ74SQRYDGC2KKNUH6MEAZC/graph.json","events_json":"https://pith.science/api/pith-number/HAHGZ74SQRYDGC2KKNUH6MEAZC/events.json","paper":"https://pith.science/paper/HAHGZ74S"},"agent_actions":{"view_html":"https://pith.science/pith/HAHGZ74SQRYDGC2KKNUH6MEAZC","download_json":"https://pith.science/pith/HAHGZ74SQRYDGC2KKNUH6MEAZC.json","view_paper":"https://pith.science/paper/HAHGZ74S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.03087&json=true","fetch_graph":"https://pith.science/api/pith-number/HAHGZ74SQRYDGC2KKNUH6MEAZC/graph.json","fetch_events":"https://pith.science/api/pith-number/HAHGZ74SQRYDGC2KKNUH6MEAZC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HAHGZ74SQRYDGC2KKNUH6MEAZC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HAHGZ74SQRYDGC2KKNUH6MEAZC/action/storage_attestation","attest_author":"https://pith.science/pith/HAHGZ74SQRYDGC2KKNUH6MEAZC/action/author_attestation","sign_citation":"https://pith.science/pith/HAHGZ74SQRYDGC2KKNUH6MEAZC/action/citation_signature","submit_replication":"https://pith.science/pith/HAHGZ74SQRYDGC2KKNUH6MEAZC/action/replication_record"}},"created_at":"2026-07-05T00:18:09.531692+00:00","updated_at":"2026-07-05T00:18:09.531692+00:00"}