{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:XGTZLYML2EPG5ESEV672FHX5NI","short_pith_number":"pith:XGTZLYML","schema_version":"1.0","canonical_sha256":"b9a795e18bd11e6e9244afbfa29efd6a2432f2725921eb620d352450b57d5ac6","source":{"kind":"arxiv","id":"1812.09009","version":1},"attestation_state":"computed","paper":{"title":"Uniqueness to Inverse Acoustic and Electromagnetic Scattering From Locally Perturbed Rough Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Baoqiang Yan, Guanghui Hu, Yu Zhao","submitted_at":"2018-12-21T09:21:55Z","abstract_excerpt":"In this paper, we consider inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with compact support. It is proved that an acoustically sound-soft or sound-hard surface can be uniquely determined by the far-field pattern of infinite number of incident plane waves with distinct directions. Moreover, a single point source or plane wave can be used to uniquely determine a scattering surface of polyhedral type. These uniqueness results apply to"},"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":"1812.09009","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-21T09:21:55Z","cross_cats_sorted":[],"title_canon_sha256":"4c4f4f2d93152a93ec53165d7bcc80ba3295e1ca4ffedb873400c905d122205a","abstract_canon_sha256":"2cbb777bc5b00e86978c3d7929f4d6472170b93ba425663319da70ae27b2bdd6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:45.660416Z","signature_b64":"Cg33s3kyUq9rgjL1kpWXsFzounhgLAhaBPmiMCcZKEeFg6kKgePcxNf4AnOcW2bhD9rhAjj4CfVO7eHlsAqvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9a795e18bd11e6e9244afbfa29efd6a2432f2725921eb620d352450b57d5ac6","last_reissued_at":"2026-05-17T23:57:45.659809Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:45.659809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniqueness to Inverse Acoustic and Electromagnetic Scattering From Locally Perturbed Rough Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Baoqiang Yan, Guanghui Hu, Yu Zhao","submitted_at":"2018-12-21T09:21:55Z","abstract_excerpt":"In this paper, we consider inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with compact support. It is proved that an acoustically sound-soft or sound-hard surface can be uniquely determined by the far-field pattern of infinite number of incident plane waves with distinct directions. Moreover, a single point source or plane wave can be used to uniquely determine a scattering surface of polyhedral type. These uniqueness results apply to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09009","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":"1812.09009","created_at":"2026-05-17T23:57:45.659893+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.09009v1","created_at":"2026-05-17T23:57:45.659893+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09009","created_at":"2026-05-17T23:57:45.659893+00:00"},{"alias_kind":"pith_short_12","alias_value":"XGTZLYML2EPG","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"XGTZLYML2EPG5ESE","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"XGTZLYML","created_at":"2026-05-18T12:33:01.666342+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/XGTZLYML2EPG5ESEV672FHX5NI","json":"https://pith.science/pith/XGTZLYML2EPG5ESEV672FHX5NI.json","graph_json":"https://pith.science/api/pith-number/XGTZLYML2EPG5ESEV672FHX5NI/graph.json","events_json":"https://pith.science/api/pith-number/XGTZLYML2EPG5ESEV672FHX5NI/events.json","paper":"https://pith.science/paper/XGTZLYML"},"agent_actions":{"view_html":"https://pith.science/pith/XGTZLYML2EPG5ESEV672FHX5NI","download_json":"https://pith.science/pith/XGTZLYML2EPG5ESEV672FHX5NI.json","view_paper":"https://pith.science/paper/XGTZLYML","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.09009&json=true","fetch_graph":"https://pith.science/api/pith-number/XGTZLYML2EPG5ESEV672FHX5NI/graph.json","fetch_events":"https://pith.science/api/pith-number/XGTZLYML2EPG5ESEV672FHX5NI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XGTZLYML2EPG5ESEV672FHX5NI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XGTZLYML2EPG5ESEV672FHX5NI/action/storage_attestation","attest_author":"https://pith.science/pith/XGTZLYML2EPG5ESEV672FHX5NI/action/author_attestation","sign_citation":"https://pith.science/pith/XGTZLYML2EPG5ESEV672FHX5NI/action/citation_signature","submit_replication":"https://pith.science/pith/XGTZLYML2EPG5ESEV672FHX5NI/action/replication_record"}},"created_at":"2026-05-17T23:57:45.659893+00:00","updated_at":"2026-05-17T23:57:45.659893+00:00"}