{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:CDSBUXPYLNI3OR7OIDGPOMNPNG","short_pith_number":"pith:CDSBUXPY","schema_version":"1.0","canonical_sha256":"10e41a5df85b51b747ee40ccf731af6998424ae04c79276bcf8eec3e8107c495","source":{"kind":"arxiv","id":"1105.5372","version":1},"attestation_state":"computed","paper":{"title":"A direct solver with O(N) complexity for integral equations on one-dimensional domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Adrianna Gillman, Patrick Young, Per-Gunnar Martinsson","submitted_at":"2011-05-26T18:55:39Z","abstract_excerpt":"An algorithm for the direct inversion of the linear systems arising from Nystrom discretization of integral equations on one-dimensional domains is described. The method typically has O(N) complexity when applied to boundary integral equations (BIEs) in the plane with non-oscillatory kernels such as those associated with the Laplace and Stokes' equations. The scaling coefficient suppressed by the \"big-O\" notation depends logarithmically on the requested accuracy. The method can also be applied to BIEs with oscillatory kernels such as those associated with the Helmholtz and Maxwell equations; i"},"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":"1105.5372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-05-26T18:55:39Z","cross_cats_sorted":[],"title_canon_sha256":"33c3485b24726004bdb4d38b4c11102b42775d9cecadd3171f4beab85021a4f7","abstract_canon_sha256":"570058d6446bd05f21954400484b13b1b7e725ff13f6094e78791c011f87ed2c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:12.672858Z","signature_b64":"7vqH+pXNttEdKwlfelTg0z8Y5ZZFJJKlJb3aUAWUB97WS5b5MoM0hia6TYu9k15ADWuCj6EPuUOTfs7fq6HwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10e41a5df85b51b747ee40ccf731af6998424ae04c79276bcf8eec3e8107c495","last_reissued_at":"2026-05-18T04:21:12.672188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:12.672188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A direct solver with O(N) complexity for integral equations on one-dimensional domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Adrianna Gillman, Patrick Young, Per-Gunnar Martinsson","submitted_at":"2011-05-26T18:55:39Z","abstract_excerpt":"An algorithm for the direct inversion of the linear systems arising from Nystrom discretization of integral equations on one-dimensional domains is described. The method typically has O(N) complexity when applied to boundary integral equations (BIEs) in the plane with non-oscillatory kernels such as those associated with the Laplace and Stokes' equations. The scaling coefficient suppressed by the \"big-O\" notation depends logarithmically on the requested accuracy. The method can also be applied to BIEs with oscillatory kernels such as those associated with the Helmholtz and Maxwell equations; i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5372","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":"1105.5372","created_at":"2026-05-18T04:21:12.672303+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.5372v1","created_at":"2026-05-18T04:21:12.672303+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5372","created_at":"2026-05-18T04:21:12.672303+00:00"},{"alias_kind":"pith_short_12","alias_value":"CDSBUXPYLNI3","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"CDSBUXPYLNI3OR7O","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"CDSBUXPY","created_at":"2026-05-18T12:26:26.731475+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/CDSBUXPYLNI3OR7OIDGPOMNPNG","json":"https://pith.science/pith/CDSBUXPYLNI3OR7OIDGPOMNPNG.json","graph_json":"https://pith.science/api/pith-number/CDSBUXPYLNI3OR7OIDGPOMNPNG/graph.json","events_json":"https://pith.science/api/pith-number/CDSBUXPYLNI3OR7OIDGPOMNPNG/events.json","paper":"https://pith.science/paper/CDSBUXPY"},"agent_actions":{"view_html":"https://pith.science/pith/CDSBUXPYLNI3OR7OIDGPOMNPNG","download_json":"https://pith.science/pith/CDSBUXPYLNI3OR7OIDGPOMNPNG.json","view_paper":"https://pith.science/paper/CDSBUXPY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.5372&json=true","fetch_graph":"https://pith.science/api/pith-number/CDSBUXPYLNI3OR7OIDGPOMNPNG/graph.json","fetch_events":"https://pith.science/api/pith-number/CDSBUXPYLNI3OR7OIDGPOMNPNG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CDSBUXPYLNI3OR7OIDGPOMNPNG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CDSBUXPYLNI3OR7OIDGPOMNPNG/action/storage_attestation","attest_author":"https://pith.science/pith/CDSBUXPYLNI3OR7OIDGPOMNPNG/action/author_attestation","sign_citation":"https://pith.science/pith/CDSBUXPYLNI3OR7OIDGPOMNPNG/action/citation_signature","submit_replication":"https://pith.science/pith/CDSBUXPYLNI3OR7OIDGPOMNPNG/action/replication_record"}},"created_at":"2026-05-18T04:21:12.672303+00:00","updated_at":"2026-05-18T04:21:12.672303+00:00"}