{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KYE43I7YGMBJN4YLMQLEDO4B64","short_pith_number":"pith:KYE43I7Y","schema_version":"1.0","canonical_sha256":"5609cda3f8330296f30b641641bb81f727832f99aa6f08d09decb70688052a76","source":{"kind":"arxiv","id":"1610.03589","version":1},"attestation_state":"computed","paper":{"title":"Perfectly-matched-layer boundary integral equation method for wave scattering in a layered medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Jianliang Qian, Wangtao Lu, Ya Yan Lu","submitted_at":"2016-10-12T03:34:57Z","abstract_excerpt":"For scattering problems of time-harmonic waves, the boundary integral equation (BIE) methods are highly competitive, since they are formulated on lower-dimension boundaries or interfaces, and can automatically satisfy outgoing radiation conditions. For scattering problems in a layered medium, standard BIE methods based on the Green's function of the background medium must evaluate the expensive Sommefeld integrals. Alternative BIE methods based on the free-space Green's function give rise to integral equations on unbounded interfaces which are not easy to truncate, since the wave fields on the"},"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":"1610.03589","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-12T03:34:57Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"41cde740572d79e4e3e4e8ae4c690570a2a56a6b77ed1d01d9c31cb09744c783","abstract_canon_sha256":"5a1e64b505b9faa10086d169ec72af4f2ea7f917d4d1256e7ddb0b478827be41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:55.162955Z","signature_b64":"g34hAxXzSpQG5G6xHI7E4dgEsACr6Ehl9ubBW7zg22Ru32J3NzwsKbi5hTsIUxzRYZ63JmNtcCGEOlBksiBSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5609cda3f8330296f30b641641bb81f727832f99aa6f08d09decb70688052a76","last_reissued_at":"2026-05-18T00:17:55.162388Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:55.162388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perfectly-matched-layer boundary integral equation method for wave scattering in a layered medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Jianliang Qian, Wangtao Lu, Ya Yan Lu","submitted_at":"2016-10-12T03:34:57Z","abstract_excerpt":"For scattering problems of time-harmonic waves, the boundary integral equation (BIE) methods are highly competitive, since they are formulated on lower-dimension boundaries or interfaces, and can automatically satisfy outgoing radiation conditions. For scattering problems in a layered medium, standard BIE methods based on the Green's function of the background medium must evaluate the expensive Sommefeld integrals. Alternative BIE methods based on the free-space Green's function give rise to integral equations on unbounded interfaces which are not easy to truncate, since the wave fields on the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03589","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":"1610.03589","created_at":"2026-05-18T00:17:55.162483+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.03589v1","created_at":"2026-05-18T00:17:55.162483+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03589","created_at":"2026-05-18T00:17:55.162483+00:00"},{"alias_kind":"pith_short_12","alias_value":"KYE43I7YGMBJ","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"KYE43I7YGMBJN4YL","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"KYE43I7Y","created_at":"2026-05-18T12:30:29.479603+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/KYE43I7YGMBJN4YLMQLEDO4B64","json":"https://pith.science/pith/KYE43I7YGMBJN4YLMQLEDO4B64.json","graph_json":"https://pith.science/api/pith-number/KYE43I7YGMBJN4YLMQLEDO4B64/graph.json","events_json":"https://pith.science/api/pith-number/KYE43I7YGMBJN4YLMQLEDO4B64/events.json","paper":"https://pith.science/paper/KYE43I7Y"},"agent_actions":{"view_html":"https://pith.science/pith/KYE43I7YGMBJN4YLMQLEDO4B64","download_json":"https://pith.science/pith/KYE43I7YGMBJN4YLMQLEDO4B64.json","view_paper":"https://pith.science/paper/KYE43I7Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.03589&json=true","fetch_graph":"https://pith.science/api/pith-number/KYE43I7YGMBJN4YLMQLEDO4B64/graph.json","fetch_events":"https://pith.science/api/pith-number/KYE43I7YGMBJN4YLMQLEDO4B64/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KYE43I7YGMBJN4YLMQLEDO4B64/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KYE43I7YGMBJN4YLMQLEDO4B64/action/storage_attestation","attest_author":"https://pith.science/pith/KYE43I7YGMBJN4YLMQLEDO4B64/action/author_attestation","sign_citation":"https://pith.science/pith/KYE43I7YGMBJN4YLMQLEDO4B64/action/citation_signature","submit_replication":"https://pith.science/pith/KYE43I7YGMBJN4YLMQLEDO4B64/action/replication_record"}},"created_at":"2026-05-18T00:17:55.162483+00:00","updated_at":"2026-05-18T00:17:55.162483+00:00"}