{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:OPI2HDT4MTF6BE3LTGA7NTGH3G","short_pith_number":"pith:OPI2HDT4","schema_version":"1.0","canonical_sha256":"73d1a38e7c64cbe0936b9981f6ccc7d98eb983786cc36458803b045c4d89b7e5","source":{"kind":"arxiv","id":"1509.05063","version":1},"attestation_state":"computed","paper":{"title":"An efficient high-order Nystr\\\"om scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Akash Anand, Ambuj Pandey, B. V. Rathish Kumar, Jagabandhu Paul","submitted_at":"2015-09-16T20:54:40Z","abstract_excerpt":"This text proposes a fast, rapidly convergent Nystr\\\"{o}m method for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic acoustic waves by inhomogeneous obstacles, while allowing the material properties to jump across the interface. The method works with overlapping coordinate charts as a description of the given scatterer. In particular, it employs \"partitions of unity\" to simplify the implementation of high-order quadratures along with suitable changes of parametric variables to analytically resolve the singularities present in "},"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":"1509.05063","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-16T20:54:40Z","cross_cats_sorted":[],"title_canon_sha256":"fe707823b3e89d184c52364ad4473c24e14dcc3eb810b29edeef16deef04e4e2","abstract_canon_sha256":"df379534d48c08a8061c2fd429c61bd46f4fa8344a83934f4fafc8fabed82bce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:43.034784Z","signature_b64":"mFoe/+ocPsuIaOX+tnYLudhLJ5VbJ2KOHRbkFb2XGXr1HWBnkm9vOgDC869t7qdnse8I79kOo76VfzVjdYYLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73d1a38e7c64cbe0936b9981f6ccc7d98eb983786cc36458803b045c4d89b7e5","last_reissued_at":"2026-05-18T01:18:43.034000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:43.034000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An efficient high-order Nystr\\\"om scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Akash Anand, Ambuj Pandey, B. V. Rathish Kumar, Jagabandhu Paul","submitted_at":"2015-09-16T20:54:40Z","abstract_excerpt":"This text proposes a fast, rapidly convergent Nystr\\\"{o}m method for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic acoustic waves by inhomogeneous obstacles, while allowing the material properties to jump across the interface. The method works with overlapping coordinate charts as a description of the given scatterer. In particular, it employs \"partitions of unity\" to simplify the implementation of high-order quadratures along with suitable changes of parametric variables to analytically resolve the singularities present in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05063","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":"1509.05063","created_at":"2026-05-18T01:18:43.034137+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.05063v1","created_at":"2026-05-18T01:18:43.034137+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05063","created_at":"2026-05-18T01:18:43.034137+00:00"},{"alias_kind":"pith_short_12","alias_value":"OPI2HDT4MTF6","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"OPI2HDT4MTF6BE3L","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"OPI2HDT4","created_at":"2026-05-18T12:29:34.919912+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/OPI2HDT4MTF6BE3LTGA7NTGH3G","json":"https://pith.science/pith/OPI2HDT4MTF6BE3LTGA7NTGH3G.json","graph_json":"https://pith.science/api/pith-number/OPI2HDT4MTF6BE3LTGA7NTGH3G/graph.json","events_json":"https://pith.science/api/pith-number/OPI2HDT4MTF6BE3LTGA7NTGH3G/events.json","paper":"https://pith.science/paper/OPI2HDT4"},"agent_actions":{"view_html":"https://pith.science/pith/OPI2HDT4MTF6BE3LTGA7NTGH3G","download_json":"https://pith.science/pith/OPI2HDT4MTF6BE3LTGA7NTGH3G.json","view_paper":"https://pith.science/paper/OPI2HDT4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.05063&json=true","fetch_graph":"https://pith.science/api/pith-number/OPI2HDT4MTF6BE3LTGA7NTGH3G/graph.json","fetch_events":"https://pith.science/api/pith-number/OPI2HDT4MTF6BE3LTGA7NTGH3G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OPI2HDT4MTF6BE3LTGA7NTGH3G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OPI2HDT4MTF6BE3LTGA7NTGH3G/action/storage_attestation","attest_author":"https://pith.science/pith/OPI2HDT4MTF6BE3LTGA7NTGH3G/action/author_attestation","sign_citation":"https://pith.science/pith/OPI2HDT4MTF6BE3LTGA7NTGH3G/action/citation_signature","submit_replication":"https://pith.science/pith/OPI2HDT4MTF6BE3LTGA7NTGH3G/action/replication_record"}},"created_at":"2026-05-18T01:18:43.034137+00:00","updated_at":"2026-05-18T01:18:43.034137+00:00"}