{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TQAXRTGVPDGB4ALMH3ON4KDLUE","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":"34b26a0ea43370029d112e4efbd9ea4c025205bade95415fb21ba035a37bbff4","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-31T22:14:09Z","title_canon_sha256":"a12795c87a49865fbcd8ddb84e3c5d0b079186245fb576699a50b85987b60782"},"schema_version":"1.0","source":{"id":"1606.00062","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00062","created_at":"2026-05-18T00:26:08Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00062v1","created_at":"2026-05-18T00:26:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00062","created_at":"2026-05-18T00:26:08Z"},{"alias_kind":"pith_short_12","alias_value":"TQAXRTGVPDGB","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TQAXRTGVPDGB4ALM","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TQAXRTGV","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:3f8ad040e0a26036cbcbdb59573542862af103634f84ad01cf38cfbfea236874","target":"graph","created_at":"2026-05-18T00:26:08Z","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":"High frequency integral equation methodologies display the capability of reproducing single-scattering returns in frequency-independent computational times and employ a Neumann series formulation to handle multiple-scattering effects. This requires the solution of an enormously large number of single-scattering problems to attain a reasonable numerical accuracy in geometrically challenging configurations. Here we propose a novel and effective Krylov subspace method suitable for the use of high frequency integral equation techniques and significantly accelerates the convergence of Neumann serie","authors_text":"Fatih Ecevit, Fernando Reitich, Yassine Boubendir","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-31T22:14:09Z","title":"Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00062","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":"sha256:7fe46440d138758ed918ac04f18405d6ed2b35b980cff4efabf5a444d6783280","target":"record","created_at":"2026-05-18T00:26:08Z","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":"34b26a0ea43370029d112e4efbd9ea4c025205bade95415fb21ba035a37bbff4","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-31T22:14:09Z","title_canon_sha256":"a12795c87a49865fbcd8ddb84e3c5d0b079186245fb576699a50b85987b60782"},"schema_version":"1.0","source":{"id":"1606.00062","kind":"arxiv","version":1}},"canonical_sha256":"9c0178ccd578cc1e016c3edcde286ba123a69fe090717fcfc4938b492b88207c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c0178ccd578cc1e016c3edcde286ba123a69fe090717fcfc4938b492b88207c","first_computed_at":"2026-05-18T00:26:08.750093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:08.750093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5nIOSlkjFHCJJCHIZpL1XpLDo6xcbHaYrONbfFLmiRjJ24j6TPQq/MlfXTRIDqmitcXTItInG+08rI3QM5BRDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:08.750685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00062","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fe46440d138758ed918ac04f18405d6ed2b35b980cff4efabf5a444d6783280","sha256:3f8ad040e0a26036cbcbdb59573542862af103634f84ad01cf38cfbfea236874"],"state_sha256":"43c20945ba8950512642628eaaddd44616763fc3c168921373f6e0deba306304"}