{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4EYN2FKMVUQ5RMWCNSSGXW6TLX","short_pith_number":"pith:4EYN2FKM","schema_version":"1.0","canonical_sha256":"e130dd154cad21d8b2c26ca46bdbd35dea257e20ae08e5767ff748de7f0a77e7","source":{"kind":"arxiv","id":"1705.00020","version":1},"attestation_state":"computed","paper":{"title":"The Scott-Vogelius finite elements revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Johnny Guzman, Ridgway Scott","submitted_at":"2017-04-28T18:04:31Z","abstract_excerpt":"We prove that the Scott-Vogelius finite elements are inf-sup stable on shape-regular meshes for piecewise quartic velocity fields and higher ($k \\ge 4$)."},"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":"1705.00020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-28T18:04:31Z","cross_cats_sorted":[],"title_canon_sha256":"168e709eb902a3a2a897ab7cb498c435f6e7e818e21f14845257ba402a357824","abstract_canon_sha256":"53579b073a8ac513fcf12c59fb6d22322d8443d317479d08f0ba4c0bc0a3fb86"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:21.701152Z","signature_b64":"6DkH6cfn9ISCr01XXeD8gfL6t9ZNdIMzkdEGEE2uxlS9FSzXphN+jaOsbK4JT/IgCreQ9g13gCE0CLcjxuqVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e130dd154cad21d8b2c26ca46bdbd35dea257e20ae08e5767ff748de7f0a77e7","last_reissued_at":"2026-05-18T00:45:21.700547Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:21.700547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Scott-Vogelius finite elements revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Johnny Guzman, Ridgway Scott","submitted_at":"2017-04-28T18:04:31Z","abstract_excerpt":"We prove that the Scott-Vogelius finite elements are inf-sup stable on shape-regular meshes for piecewise quartic velocity fields and higher ($k \\ge 4$)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00020","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":"1705.00020","created_at":"2026-05-18T00:45:21.700635+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.00020v1","created_at":"2026-05-18T00:45:21.700635+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00020","created_at":"2026-05-18T00:45:21.700635+00:00"},{"alias_kind":"pith_short_12","alias_value":"4EYN2FKMVUQ5","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"4EYN2FKMVUQ5RMWC","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"4EYN2FKM","created_at":"2026-05-18T12:30:58.224056+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/4EYN2FKMVUQ5RMWCNSSGXW6TLX","json":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX.json","graph_json":"https://pith.science/api/pith-number/4EYN2FKMVUQ5RMWCNSSGXW6TLX/graph.json","events_json":"https://pith.science/api/pith-number/4EYN2FKMVUQ5RMWCNSSGXW6TLX/events.json","paper":"https://pith.science/paper/4EYN2FKM"},"agent_actions":{"view_html":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX","download_json":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX.json","view_paper":"https://pith.science/paper/4EYN2FKM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.00020&json=true","fetch_graph":"https://pith.science/api/pith-number/4EYN2FKMVUQ5RMWCNSSGXW6TLX/graph.json","fetch_events":"https://pith.science/api/pith-number/4EYN2FKMVUQ5RMWCNSSGXW6TLX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/action/storage_attestation","attest_author":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/action/author_attestation","sign_citation":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/action/citation_signature","submit_replication":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/action/replication_record"}},"created_at":"2026-05-18T00:45:21.700635+00:00","updated_at":"2026-05-18T00:45:21.700635+00:00"}