{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ULVII7GND4GVD5YFEPLHKWUTMC","short_pith_number":"pith:ULVII7GN","schema_version":"1.0","canonical_sha256":"a2ea847ccd1f0d51f70523d6755a936086fb670131c84104d5faecb74e823a85","source":{"kind":"arxiv","id":"1410.2187","version":1},"attestation_state":"computed","paper":{"title":"Spectrally-accurate quadratures for evaluation of layer potentials close to the boundary for the 2D Stokes and Laplace equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alex H. Barnett, Bowei Wu, Shravan K. Veerapaneni","submitted_at":"2014-10-08T16:16:04Z","abstract_excerpt":"Dense particulate flow simulations using integral equation methods demand accurate evaluation of Stokes layer potentials on arbitrarily close interfaces. In this paper, we generalize techniques for close evaluation of Laplace double-layer potentials in J. Helsing and R. Ojala, J. Comput. Phys. 227 (2008) 2899-2921. We create a \"globally compensated\" trapezoid rule quadrature for the Laplace single-layer potential on the interior and exterior of smooth curves. This exploits a complex representation, a product quadrature (in the style of Kress) for the sawtooth function, careful attention to bra"},"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":"1410.2187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-08T16:16:04Z","cross_cats_sorted":[],"title_canon_sha256":"db36cb12d394a0466f698e614dab5738922531cd225b4de88c744b3294fe6c07","abstract_canon_sha256":"09019b69a5380824f39a3db51805c8dfb7394da93f41ba4e27f2a77e2cbe74f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:48.019699Z","signature_b64":"utvCLf93bqMO3NNh9x6ip6LPLWeZQRc2Fm5KewKROJ+RROT+0DlQ/McgWZwFnPBAOx/U3aMFf8mYia5cr7N5BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2ea847ccd1f0d51f70523d6755a936086fb670131c84104d5faecb74e823a85","last_reissued_at":"2026-05-18T02:40:48.019245Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:48.019245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectrally-accurate quadratures for evaluation of layer potentials close to the boundary for the 2D Stokes and Laplace equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alex H. Barnett, Bowei Wu, Shravan K. Veerapaneni","submitted_at":"2014-10-08T16:16:04Z","abstract_excerpt":"Dense particulate flow simulations using integral equation methods demand accurate evaluation of Stokes layer potentials on arbitrarily close interfaces. In this paper, we generalize techniques for close evaluation of Laplace double-layer potentials in J. Helsing and R. Ojala, J. Comput. Phys. 227 (2008) 2899-2921. We create a \"globally compensated\" trapezoid rule quadrature for the Laplace single-layer potential on the interior and exterior of smooth curves. This exploits a complex representation, a product quadrature (in the style of Kress) for the sawtooth function, careful attention to bra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2187","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":"1410.2187","created_at":"2026-05-18T02:40:48.019310+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.2187v1","created_at":"2026-05-18T02:40:48.019310+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2187","created_at":"2026-05-18T02:40:48.019310+00:00"},{"alias_kind":"pith_short_12","alias_value":"ULVII7GND4GV","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"ULVII7GND4GVD5YF","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"ULVII7GN","created_at":"2026-05-18T12:28:52.271510+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/ULVII7GND4GVD5YFEPLHKWUTMC","json":"https://pith.science/pith/ULVII7GND4GVD5YFEPLHKWUTMC.json","graph_json":"https://pith.science/api/pith-number/ULVII7GND4GVD5YFEPLHKWUTMC/graph.json","events_json":"https://pith.science/api/pith-number/ULVII7GND4GVD5YFEPLHKWUTMC/events.json","paper":"https://pith.science/paper/ULVII7GN"},"agent_actions":{"view_html":"https://pith.science/pith/ULVII7GND4GVD5YFEPLHKWUTMC","download_json":"https://pith.science/pith/ULVII7GND4GVD5YFEPLHKWUTMC.json","view_paper":"https://pith.science/paper/ULVII7GN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.2187&json=true","fetch_graph":"https://pith.science/api/pith-number/ULVII7GND4GVD5YFEPLHKWUTMC/graph.json","fetch_events":"https://pith.science/api/pith-number/ULVII7GND4GVD5YFEPLHKWUTMC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ULVII7GND4GVD5YFEPLHKWUTMC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ULVII7GND4GVD5YFEPLHKWUTMC/action/storage_attestation","attest_author":"https://pith.science/pith/ULVII7GND4GVD5YFEPLHKWUTMC/action/author_attestation","sign_citation":"https://pith.science/pith/ULVII7GND4GVD5YFEPLHKWUTMC/action/citation_signature","submit_replication":"https://pith.science/pith/ULVII7GND4GVD5YFEPLHKWUTMC/action/replication_record"}},"created_at":"2026-05-18T02:40:48.019310+00:00","updated_at":"2026-05-18T02:40:48.019310+00:00"}