{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:25B64ED2CWEM7DUES4G3ADXQA4","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":"c1b7a692ad093e98de772fa94b013f1ff5c236e6ae3de7eff46c8e8b65794a1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-02T01:08:57Z","title_canon_sha256":"4ff9873581c1c0f45a1b567f04ded9a7af2e66dd9204b82ac141f2b8d0a978d9"},"schema_version":"1.0","source":{"id":"1806.00563","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00563","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00563v1","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00563","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"25B64ED2CWEM","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"25B64ED2CWEM7DUE","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"25B64ED2","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:1ae170285a8b34f563b6d50b441e20633b18c2363a274a69a6fde880a7c50604","target":"graph","created_at":"2026-05-18T00:00:55Z","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":"In recent years, several fast solvers for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic acoustic waves by penetrable inhomogeneous obstacles, have been proposed. While many of these fast methodologies exhibit rapid convergence for smoothly varying scattering configurations, the rate for most of them reduce to either linear or quadratic when material properties are allowed to jump across the interface. A notable exception to this is a recently introduced Nystr\\\"{o}m scheme [J. Comput. Phys., 311 (2016), 258--274] that utilize","authors_text":"Akash Anand, Ambuj Pandey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-02T01:08:57Z","title":"Improved convergence of fast integral equation solvers for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00563","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:f64344ab0c090f229af760ed11bfc781c2c02c36dbd5aaa2fde41e2f990576d4","target":"record","created_at":"2026-05-18T00:00:55Z","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":"c1b7a692ad093e98de772fa94b013f1ff5c236e6ae3de7eff46c8e8b65794a1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-02T01:08:57Z","title_canon_sha256":"4ff9873581c1c0f45a1b567f04ded9a7af2e66dd9204b82ac141f2b8d0a978d9"},"schema_version":"1.0","source":{"id":"1806.00563","kind":"arxiv","version":1}},"canonical_sha256":"d743ee107a1588cf8e84970db00ef00739730bf442356b893a04cf7f63d1f292","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d743ee107a1588cf8e84970db00ef00739730bf442356b893a04cf7f63d1f292","first_computed_at":"2026-05-18T00:00:55.384816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:55.384816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OA2xhukC8eOudH7d/+SfcHeY+aWahQHl/eMHThtioyu2S/BeSBm6NA3+XmhAFMsvv3/W4Wbc4cbXgPH1xYrhAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:55.385398Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.00563","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f64344ab0c090f229af760ed11bfc781c2c02c36dbd5aaa2fde41e2f990576d4","sha256:1ae170285a8b34f563b6d50b441e20633b18c2363a274a69a6fde880a7c50604"],"state_sha256":"0e561f04b0e858bfb499f3af5752b779cdee32c717e8e293c44aa44ca2c48763"}