{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IKTBQQDETETI7Z2UQYOX3JKOMQ","short_pith_number":"pith:IKTBQQDE","schema_version":"1.0","canonical_sha256":"42a618406499268fe754861d7da54e640a4302261e22665379a51d20d8bcac8f","source":{"kind":"arxiv","id":"1710.01048","version":1},"attestation_state":"computed","paper":{"title":"Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Michael Barto\\v{n}, Quanling Deng, Victor Calo, Vladimir Puzyrev","submitted_at":"2017-10-03T09:25:08Z","abstract_excerpt":"Calabro et al. (2017) changed the paradigm of the mass and stiffness computation from the traditional element-wise assembly to a row-wise concept, showing that the latter one offers integration that may be orders of magnitude faster. Considering a B-spline basis function as a non-negative measure, each mass matrix row is integrated by its own quadrature rule with respect to that measure. Each rule is easy to compute as it leads to a linear system of equations, however, the quadrature rules are of the Newton-Cotes type, that is, they require a number of quadrature points that is equal to the di"},"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":"1710.01048","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-03T09:25:08Z","cross_cats_sorted":[],"title_canon_sha256":"40c8d3b68d4f2eecf63a2a1e6cc07732ccce50e5a9a150436eb55416d19b7eb4","abstract_canon_sha256":"2255187e64c3879bfa4617fc1bcd9dce9cf11e324e5fcdeb40dfb95eab006b0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:45.427498Z","signature_b64":"x8TKcY2NcgdsC+igTjaHFC568pSuVIhG1lViniy0Pz32if5SH0YprM+jb9QDUjbqBN82L5Kd7Ge4G5PM6xRsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42a618406499268fe754861d7da54e640a4302261e22665379a51d20d8bcac8f","last_reissued_at":"2026-05-18T00:33:45.426898Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:45.426898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Michael Barto\\v{n}, Quanling Deng, Victor Calo, Vladimir Puzyrev","submitted_at":"2017-10-03T09:25:08Z","abstract_excerpt":"Calabro et al. (2017) changed the paradigm of the mass and stiffness computation from the traditional element-wise assembly to a row-wise concept, showing that the latter one offers integration that may be orders of magnitude faster. Considering a B-spline basis function as a non-negative measure, each mass matrix row is integrated by its own quadrature rule with respect to that measure. Each rule is easy to compute as it leads to a linear system of equations, however, the quadrature rules are of the Newton-Cotes type, that is, they require a number of quadrature points that is equal to the di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01048","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":"1710.01048","created_at":"2026-05-18T00:33:45.426979+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.01048v1","created_at":"2026-05-18T00:33:45.426979+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01048","created_at":"2026-05-18T00:33:45.426979+00:00"},{"alias_kind":"pith_short_12","alias_value":"IKTBQQDETETI","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IKTBQQDETETI7Z2U","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IKTBQQDE","created_at":"2026-05-18T12:31:21.493067+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/IKTBQQDETETI7Z2UQYOX3JKOMQ","json":"https://pith.science/pith/IKTBQQDETETI7Z2UQYOX3JKOMQ.json","graph_json":"https://pith.science/api/pith-number/IKTBQQDETETI7Z2UQYOX3JKOMQ/graph.json","events_json":"https://pith.science/api/pith-number/IKTBQQDETETI7Z2UQYOX3JKOMQ/events.json","paper":"https://pith.science/paper/IKTBQQDE"},"agent_actions":{"view_html":"https://pith.science/pith/IKTBQQDETETI7Z2UQYOX3JKOMQ","download_json":"https://pith.science/pith/IKTBQQDETETI7Z2UQYOX3JKOMQ.json","view_paper":"https://pith.science/paper/IKTBQQDE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.01048&json=true","fetch_graph":"https://pith.science/api/pith-number/IKTBQQDETETI7Z2UQYOX3JKOMQ/graph.json","fetch_events":"https://pith.science/api/pith-number/IKTBQQDETETI7Z2UQYOX3JKOMQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IKTBQQDETETI7Z2UQYOX3JKOMQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IKTBQQDETETI7Z2UQYOX3JKOMQ/action/storage_attestation","attest_author":"https://pith.science/pith/IKTBQQDETETI7Z2UQYOX3JKOMQ/action/author_attestation","sign_citation":"https://pith.science/pith/IKTBQQDETETI7Z2UQYOX3JKOMQ/action/citation_signature","submit_replication":"https://pith.science/pith/IKTBQQDETETI7Z2UQYOX3JKOMQ/action/replication_record"}},"created_at":"2026-05-18T00:33:45.426979+00:00","updated_at":"2026-05-18T00:33:45.426979+00:00"}