{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:UQKQPOGMVBP5IWWPARGEXF3QFQ","short_pith_number":"pith:UQKQPOGM","schema_version":"1.0","canonical_sha256":"a41507b8cca85fd45acf044c4b97702c1e8510c2a914b762370e7e79fbe14dce","source":{"kind":"arxiv","id":"1907.09703","version":1},"attestation_state":"computed","paper":{"title":"Convergence of the perfectly matched layer method for transient acoustic-elastic interaction above an unbounded rough surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.AP","authors_text":"Bo Zhang, Changkun Wei, Jiaqing Yang","submitted_at":"2019-07-23T05:54:24Z","abstract_excerpt":"This paper is concerned with the time-dependent acoustic-elastic interaction problem associated with a bounded elastic body immersed in a homogeneous air or fluid above an unbounded rough surface. The well-posedness and stability of the problem are first established by using the Laplace transform and the energy method. A perfectly matched layer (PML) is then introduced to truncate the interaction problem above a finite layer containing the elastic body, leading to a PML problem in a finite strip domain. We further establish the existence, uniqueness and stability estimate of solutions to the P"},"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":"1907.09703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-23T05:54:24Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"bf98640a4457485469c4d86c44b15df75dbebe7dc5b5779d64d16cb0999571e8","abstract_canon_sha256":"ea2764db8a140d7f5e021b5d2fdc0110228fb8bc35d2dcd3da4d3cf166966920"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:50.344540Z","signature_b64":"bB2C1q3T3riZuedHPapC453KNABGf4NSpBzqYhFPAVs6s4226Iq0e6u90RZxM7onrpBQdv4doALN9DQtaUliBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a41507b8cca85fd45acf044c4b97702c1e8510c2a914b762370e7e79fbe14dce","last_reissued_at":"2026-05-17T23:39:50.343853Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:50.343853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence of the perfectly matched layer method for transient acoustic-elastic interaction above an unbounded rough surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.AP","authors_text":"Bo Zhang, Changkun Wei, Jiaqing Yang","submitted_at":"2019-07-23T05:54:24Z","abstract_excerpt":"This paper is concerned with the time-dependent acoustic-elastic interaction problem associated with a bounded elastic body immersed in a homogeneous air or fluid above an unbounded rough surface. The well-posedness and stability of the problem are first established by using the Laplace transform and the energy method. A perfectly matched layer (PML) is then introduced to truncate the interaction problem above a finite layer containing the elastic body, leading to a PML problem in a finite strip domain. We further establish the existence, uniqueness and stability estimate of solutions to the P"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.09703","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":"1907.09703","created_at":"2026-05-17T23:39:50.343949+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.09703v1","created_at":"2026-05-17T23:39:50.343949+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.09703","created_at":"2026-05-17T23:39:50.343949+00:00"},{"alias_kind":"pith_short_12","alias_value":"UQKQPOGMVBP5","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"UQKQPOGMVBP5IWWP","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"UQKQPOGM","created_at":"2026-05-18T12:33:30.264802+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/UQKQPOGMVBP5IWWPARGEXF3QFQ","json":"https://pith.science/pith/UQKQPOGMVBP5IWWPARGEXF3QFQ.json","graph_json":"https://pith.science/api/pith-number/UQKQPOGMVBP5IWWPARGEXF3QFQ/graph.json","events_json":"https://pith.science/api/pith-number/UQKQPOGMVBP5IWWPARGEXF3QFQ/events.json","paper":"https://pith.science/paper/UQKQPOGM"},"agent_actions":{"view_html":"https://pith.science/pith/UQKQPOGMVBP5IWWPARGEXF3QFQ","download_json":"https://pith.science/pith/UQKQPOGMVBP5IWWPARGEXF3QFQ.json","view_paper":"https://pith.science/paper/UQKQPOGM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.09703&json=true","fetch_graph":"https://pith.science/api/pith-number/UQKQPOGMVBP5IWWPARGEXF3QFQ/graph.json","fetch_events":"https://pith.science/api/pith-number/UQKQPOGMVBP5IWWPARGEXF3QFQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UQKQPOGMVBP5IWWPARGEXF3QFQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UQKQPOGMVBP5IWWPARGEXF3QFQ/action/storage_attestation","attest_author":"https://pith.science/pith/UQKQPOGMVBP5IWWPARGEXF3QFQ/action/author_attestation","sign_citation":"https://pith.science/pith/UQKQPOGMVBP5IWWPARGEXF3QFQ/action/citation_signature","submit_replication":"https://pith.science/pith/UQKQPOGMVBP5IWWPARGEXF3QFQ/action/replication_record"}},"created_at":"2026-05-17T23:39:50.343949+00:00","updated_at":"2026-05-17T23:39:50.343949+00:00"}