{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6CP624ZJTKMOKZBFP2PCSRWAG4","short_pith_number":"pith:6CP624ZJ","schema_version":"1.0","canonical_sha256":"f09fed73299a98e564257e9e2946c0371f78d1fa2bb4fc33ced53b6a11e8a84f","source":{"kind":"arxiv","id":"1809.09355","version":2},"attestation_state":"computed","paper":{"title":"A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Li Yuan*, Yahui Wang, Yulong Du","submitted_at":"2018-09-25T07:56:47Z","abstract_excerpt":"The modified dimension-by-dimension finite volume (FV) WENO method on Cartesian grids proposed by Buchm\\\"{u}ller and Helzel can retain the full order of accuracy of the one-dimensional WENO reconstruction and requires only one flux computation per interface. The high-order accurate conversion between face-averaged values and face-center point values is the main ingredient of this method. In this paper, we derive sixth-order accurate conversion formulas on three-dimensional Cartesian grids. It is shown that the resulting modified FV WENO method is efficient and high-order accurate when applied "},"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":"1809.09355","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-09-25T07:56:47Z","cross_cats_sorted":[],"title_canon_sha256":"74e3c1da32148776304b2d144200cdb1e0861beddeb810deef984f594927db62","abstract_canon_sha256":"e4fcf20296a97e5d9be53ebaccd564f354f735d4cb5bb8ddcf14f76160f914e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:52.859826Z","signature_b64":"LMUTCrkn1tLSEvzhRJYn3/6O7qTnQ90FIfib3YmIO4/RGugpdWhJMhnBNKwnX1oyYKwdyYErPCj9JmjDWJyYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f09fed73299a98e564257e9e2946c0371f78d1fa2bb4fc33ced53b6a11e8a84f","last_reissued_at":"2026-05-17T23:56:52.859376Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:52.859376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Li Yuan*, Yahui Wang, Yulong Du","submitted_at":"2018-09-25T07:56:47Z","abstract_excerpt":"The modified dimension-by-dimension finite volume (FV) WENO method on Cartesian grids proposed by Buchm\\\"{u}ller and Helzel can retain the full order of accuracy of the one-dimensional WENO reconstruction and requires only one flux computation per interface. The high-order accurate conversion between face-averaged values and face-center point values is the main ingredient of this method. In this paper, we derive sixth-order accurate conversion formulas on three-dimensional Cartesian grids. It is shown that the resulting modified FV WENO method is efficient and high-order accurate when applied "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09355","kind":"arxiv","version":2},"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":"1809.09355","created_at":"2026-05-17T23:56:52.859444+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.09355v2","created_at":"2026-05-17T23:56:52.859444+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09355","created_at":"2026-05-17T23:56:52.859444+00:00"},{"alias_kind":"pith_short_12","alias_value":"6CP624ZJTKMO","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"6CP624ZJTKMOKZBF","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"6CP624ZJ","created_at":"2026-05-18T12:32:08.215937+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/6CP624ZJTKMOKZBFP2PCSRWAG4","json":"https://pith.science/pith/6CP624ZJTKMOKZBFP2PCSRWAG4.json","graph_json":"https://pith.science/api/pith-number/6CP624ZJTKMOKZBFP2PCSRWAG4/graph.json","events_json":"https://pith.science/api/pith-number/6CP624ZJTKMOKZBFP2PCSRWAG4/events.json","paper":"https://pith.science/paper/6CP624ZJ"},"agent_actions":{"view_html":"https://pith.science/pith/6CP624ZJTKMOKZBFP2PCSRWAG4","download_json":"https://pith.science/pith/6CP624ZJTKMOKZBFP2PCSRWAG4.json","view_paper":"https://pith.science/paper/6CP624ZJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.09355&json=true","fetch_graph":"https://pith.science/api/pith-number/6CP624ZJTKMOKZBFP2PCSRWAG4/graph.json","fetch_events":"https://pith.science/api/pith-number/6CP624ZJTKMOKZBFP2PCSRWAG4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6CP624ZJTKMOKZBFP2PCSRWAG4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6CP624ZJTKMOKZBFP2PCSRWAG4/action/storage_attestation","attest_author":"https://pith.science/pith/6CP624ZJTKMOKZBFP2PCSRWAG4/action/author_attestation","sign_citation":"https://pith.science/pith/6CP624ZJTKMOKZBFP2PCSRWAG4/action/citation_signature","submit_replication":"https://pith.science/pith/6CP624ZJTKMOKZBFP2PCSRWAG4/action/replication_record"}},"created_at":"2026-05-17T23:56:52.859444+00:00","updated_at":"2026-05-17T23:56:52.859444+00:00"}