{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:P6UPOEXPHVQ6F6BANIT7VFCLKA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0921f9b99af67907dcaf06a037fd260aa165cfddb95ee0a96f5518e9a426ac19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-02T02:36:27Z","title_canon_sha256":"3805aef8569e649e590a9cd461d7f9ea4ea740e0ba9f37633cbc69311cc8b0b5"},"schema_version":"1.0","source":{"id":"1406.0236","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0236","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0236v1","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0236","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"P6UPOEXPHVQ6","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P6UPOEXPHVQ6F6BA","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P6UPOEXP","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:0104e24d45b813c2a113ee55344f319bd00149de56ca4e863fe9e1c430baf4db","target":"graph","created_at":"2026-05-18T02:50:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A numerical method for solving the equations modeling acoustic scattering is presented. The method is capable of handling several dozen scatterers, each of which is several wave-lengths long, on a personal work station. Even for geometries involving cavities, solutions accurate to seven digits or better were obtained. The method relies on a Boundary Integral Equation formulation of the scattering problem, discretized using a high-order accurate Nystr\\\"om method. A hybrid iterative/direct solver is used in which a local scattering matrix for each body is computed, and then GMRES, accelerated by","authors_text":"Patrick Young, Per-Gunnar Martinsson, Sijia Hao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-02T02:36:27Z","title":"An efficient and highly accurate solver for multi-body acoustic scattering problems involving rotationally symmetric scatterers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0236","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:773b2051eabadefa9f8b698722e2820548692e9f98355ef588cb279a0c56ecbe","target":"record","created_at":"2026-05-18T02:50:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0921f9b99af67907dcaf06a037fd260aa165cfddb95ee0a96f5518e9a426ac19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-06-02T02:36:27Z","title_canon_sha256":"3805aef8569e649e590a9cd461d7f9ea4ea740e0ba9f37633cbc69311cc8b0b5"},"schema_version":"1.0","source":{"id":"1406.0236","kind":"arxiv","version":1}},"canonical_sha256":"7fa8f712ef3d61e2f8206a27fa944b501ddbc2e0f4c8faee0b48bff649894f98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fa8f712ef3d61e2f8206a27fa944b501ddbc2e0f4c8faee0b48bff649894f98","first_computed_at":"2026-05-18T02:50:41.401162Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:41.401162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8/1GRgCryI1OqYPwHInbwpQBnGS50aM6y+OrUzgmF4FR6BIs0iV/QFm7pLcNYBAdyvsfCQf5xJE/A6Y0QdvjBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:41.401792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0236","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:773b2051eabadefa9f8b698722e2820548692e9f98355ef588cb279a0c56ecbe","sha256:0104e24d45b813c2a113ee55344f319bd00149de56ca4e863fe9e1c430baf4db"],"state_sha256":"c0192bc2e4a49fd5a7946fae4ce7c08beb1f95fd5635e0310fe84a42493ca011"}