{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:EFTHLAK3YD7RC6CP4CUFQEP3BA","short_pith_number":"pith:EFTHLAK3","schema_version":"1.0","canonical_sha256":"216675815bc0ff11784fe0a85811fb080476746093ec963d154ced08cd5d1cba","source":{"kind":"arxiv","id":"1802.07844","version":1},"attestation_state":"computed","paper":{"title":"Fast Ewald summation for Green's functions of Stokes flow in a half-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Anna-Karin Tornberg, Shriram Srinivasan","submitted_at":"2018-02-21T23:16:20Z","abstract_excerpt":"Recently, Gimbutas et al derived an elegant representation for the Green's functions of Stokes flow in a half-space. We present a fast summation method for sums involving these half-space Green's functions (stokeslets, stresslets and rotlets) that consolidates and builds on the work by Klinteberg et al for the corresponding free-space Green's functions. The fast method is based on two main ingredients: The Ewald decomposition and subsequent use of FFTs. The Ewald decomposition recasts the sum into a sum of two exponentially decaying series: one in real-space (short-range interactions) and one "},"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":"1802.07844","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-02-21T23:16:20Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"1f0d987f8303df65cfb15b917303ba5cdec1de20d6f5cc7ed53d5c159c11f116","abstract_canon_sha256":"70624206e4b2ce79383f31f1d9ebbd5cfa082d2316ed62e00f51c7777dc9409c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:11:32.429589Z","signature_b64":"xVsyKIVIhSGJldhsbrtI2c0oI2bHcQZm2HIuPuf4BWddGuiY4X17iwhCEF2zxrMusf4DE2hzCogmyPq0DEPYBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"216675815bc0ff11784fe0a85811fb080476746093ec963d154ced08cd5d1cba","last_reissued_at":"2026-06-04T19:11:32.428534Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:11:32.428534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fast Ewald summation for Green's functions of Stokes flow in a half-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Anna-Karin Tornberg, Shriram Srinivasan","submitted_at":"2018-02-21T23:16:20Z","abstract_excerpt":"Recently, Gimbutas et al derived an elegant representation for the Green's functions of Stokes flow in a half-space. We present a fast summation method for sums involving these half-space Green's functions (stokeslets, stresslets and rotlets) that consolidates and builds on the work by Klinteberg et al for the corresponding free-space Green's functions. The fast method is based on two main ingredients: The Ewald decomposition and subsequent use of FFTs. The Ewald decomposition recasts the sum into a sum of two exponentially decaying series: one in real-space (short-range interactions) and one "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07844","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1802.07844/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1802.07844","created_at":"2026-06-04T19:11:32.429034+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.07844v1","created_at":"2026-06-04T19:11:32.429034+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07844","created_at":"2026-06-04T19:11:32.429034+00:00"},{"alias_kind":"pith_short_12","alias_value":"EFTHLAK3YD7R","created_at":"2026-06-04T19:11:32.429034+00:00"},{"alias_kind":"pith_short_16","alias_value":"EFTHLAK3YD7RC6CP","created_at":"2026-06-04T19:11:32.429034+00:00"},{"alias_kind":"pith_short_8","alias_value":"EFTHLAK3","created_at":"2026-06-04T19:11:32.429034+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/EFTHLAK3YD7RC6CP4CUFQEP3BA","json":"https://pith.science/pith/EFTHLAK3YD7RC6CP4CUFQEP3BA.json","graph_json":"https://pith.science/api/pith-number/EFTHLAK3YD7RC6CP4CUFQEP3BA/graph.json","events_json":"https://pith.science/api/pith-number/EFTHLAK3YD7RC6CP4CUFQEP3BA/events.json","paper":"https://pith.science/paper/EFTHLAK3"},"agent_actions":{"view_html":"https://pith.science/pith/EFTHLAK3YD7RC6CP4CUFQEP3BA","download_json":"https://pith.science/pith/EFTHLAK3YD7RC6CP4CUFQEP3BA.json","view_paper":"https://pith.science/paper/EFTHLAK3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.07844&json=true","fetch_graph":"https://pith.science/api/pith-number/EFTHLAK3YD7RC6CP4CUFQEP3BA/graph.json","fetch_events":"https://pith.science/api/pith-number/EFTHLAK3YD7RC6CP4CUFQEP3BA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EFTHLAK3YD7RC6CP4CUFQEP3BA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EFTHLAK3YD7RC6CP4CUFQEP3BA/action/storage_attestation","attest_author":"https://pith.science/pith/EFTHLAK3YD7RC6CP4CUFQEP3BA/action/author_attestation","sign_citation":"https://pith.science/pith/EFTHLAK3YD7RC6CP4CUFQEP3BA/action/citation_signature","submit_replication":"https://pith.science/pith/EFTHLAK3YD7RC6CP4CUFQEP3BA/action/replication_record"}},"created_at":"2026-06-04T19:11:32.429034+00:00","updated_at":"2026-06-04T19:11:32.429034+00:00"}