{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:KZUHYXW6A6QAZ75J6P3WY4HJXI","short_pith_number":"pith:KZUHYXW6","schema_version":"1.0","canonical_sha256":"56687c5ede07a00cffa9f3f76c70e9ba3e534db0d9494e1b272679cbf1a96e1e","source":{"kind":"arxiv","id":"1101.3587","version":1},"attestation_state":"computed","paper":{"title":"Convergence Analysis of a Class of Massively Parallel Direction Splitting Algorithms for the Navier-Stokes Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Abner J. Salgado, Jean-Luc Guermond, Peter D. Minev","submitted_at":"2011-01-19T00:11:28Z","abstract_excerpt":"We provide a convergence analysis for a new fractional time-stepping technique for the incompressible Navier-Stokes equations based on direction splitting. This new technique is of linear complexity, unconditionally stable and convergent, and suitable for massive parallelization."},"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":"1101.3587","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-01-19T00:11:28Z","cross_cats_sorted":[],"title_canon_sha256":"cedd31b62b93593bbf9e8f92ce4c283d728be553feb614088b0fadcf0846d8d9","abstract_canon_sha256":"27ff36c58a2ad406bc0bc2e9b61f1b60b9f9558d134747d1d3d13051ab854704"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:21.910469Z","signature_b64":"tjrWnJixp2FFR4OV2zbNMViol0Dkgy4ixYRKkHfKX4aU5pZKOalN5qU3WNB59xOQarG6vjr3BCXoEFrk5iLCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56687c5ede07a00cffa9f3f76c70e9ba3e534db0d9494e1b272679cbf1a96e1e","last_reissued_at":"2026-05-18T04:31:21.909986Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:21.909986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence Analysis of a Class of Massively Parallel Direction Splitting Algorithms for the Navier-Stokes Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Abner J. Salgado, Jean-Luc Guermond, Peter D. Minev","submitted_at":"2011-01-19T00:11:28Z","abstract_excerpt":"We provide a convergence analysis for a new fractional time-stepping technique for the incompressible Navier-Stokes equations based on direction splitting. This new technique is of linear complexity, unconditionally stable and convergent, and suitable for massive parallelization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3587","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":"1101.3587","created_at":"2026-05-18T04:31:21.910058+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.3587v1","created_at":"2026-05-18T04:31:21.910058+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3587","created_at":"2026-05-18T04:31:21.910058+00:00"},{"alias_kind":"pith_short_12","alias_value":"KZUHYXW6A6QA","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"KZUHYXW6A6QAZ75J","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"KZUHYXW6","created_at":"2026-05-18T12:26:34.985390+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/KZUHYXW6A6QAZ75J6P3WY4HJXI","json":"https://pith.science/pith/KZUHYXW6A6QAZ75J6P3WY4HJXI.json","graph_json":"https://pith.science/api/pith-number/KZUHYXW6A6QAZ75J6P3WY4HJXI/graph.json","events_json":"https://pith.science/api/pith-number/KZUHYXW6A6QAZ75J6P3WY4HJXI/events.json","paper":"https://pith.science/paper/KZUHYXW6"},"agent_actions":{"view_html":"https://pith.science/pith/KZUHYXW6A6QAZ75J6P3WY4HJXI","download_json":"https://pith.science/pith/KZUHYXW6A6QAZ75J6P3WY4HJXI.json","view_paper":"https://pith.science/paper/KZUHYXW6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.3587&json=true","fetch_graph":"https://pith.science/api/pith-number/KZUHYXW6A6QAZ75J6P3WY4HJXI/graph.json","fetch_events":"https://pith.science/api/pith-number/KZUHYXW6A6QAZ75J6P3WY4HJXI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KZUHYXW6A6QAZ75J6P3WY4HJXI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KZUHYXW6A6QAZ75J6P3WY4HJXI/action/storage_attestation","attest_author":"https://pith.science/pith/KZUHYXW6A6QAZ75J6P3WY4HJXI/action/author_attestation","sign_citation":"https://pith.science/pith/KZUHYXW6A6QAZ75J6P3WY4HJXI/action/citation_signature","submit_replication":"https://pith.science/pith/KZUHYXW6A6QAZ75J6P3WY4HJXI/action/replication_record"}},"created_at":"2026-05-18T04:31:21.910058+00:00","updated_at":"2026-05-18T04:31:21.910058+00:00"}