{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:N37ABVLLAXEMMM2PGXNDMOWYIG","short_pith_number":"pith:N37ABVLL","schema_version":"1.0","canonical_sha256":"6efe00d56b05c8c6334f35da363ad841a36da0401807bd7c0cd8a64a9f4f4fa0","source":{"kind":"arxiv","id":"1809.01786","version":1},"attestation_state":"computed","paper":{"title":"Unique determination of a penetrable scatterer of rectangular type for inverse Maxwell equations by a single incoming wave","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guanghui Hu, Jun Zou, Long Li","submitted_at":"2018-09-06T01:44:22Z","abstract_excerpt":"This work is concerned with an inverse electromagnetic scattering problem in two dimensions. We prove that in the TE polarization case, the knowledge of the electric far-field pattern incited by a single incoming wave is sufficient to uniquely determine the shape of a penetrable scatterer of rectangular type. As a by-product, the uniqueness is also confirmed to inverse transmission problems modelled by scalar Helmholtz equations with discontinuous normal derivatives at the scattering interface.\n  Keywords: Uniqueness, inverse medium scattering, Maxwell equations, one incoming wave, shape ident"},"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":"1809.01786","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-06T01:44:22Z","cross_cats_sorted":[],"title_canon_sha256":"52b36a4623bbe358748878e4afe1f018e20c72bc69a7165a33f0ae444942d42c","abstract_canon_sha256":"fd49ae23ca91b81f0ac5fc456eb9f58a7b24280fd198c5b9c9e306fed2207f9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:28.945237Z","signature_b64":"vOBP9wBVfXtXQ76GuIiXwEzrPQ8TBIJw0hq2y/TF/BGzcVqnY+iQARXP/KCxlVq1DzMvFyr4iUHuTe9k2+/kBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6efe00d56b05c8c6334f35da363ad841a36da0401807bd7c0cd8a64a9f4f4fa0","last_reissued_at":"2026-05-17T23:53:28.944810Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:28.944810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unique determination of a penetrable scatterer of rectangular type for inverse Maxwell equations by a single incoming wave","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guanghui Hu, Jun Zou, Long Li","submitted_at":"2018-09-06T01:44:22Z","abstract_excerpt":"This work is concerned with an inverse electromagnetic scattering problem in two dimensions. We prove that in the TE polarization case, the knowledge of the electric far-field pattern incited by a single incoming wave is sufficient to uniquely determine the shape of a penetrable scatterer of rectangular type. As a by-product, the uniqueness is also confirmed to inverse transmission problems modelled by scalar Helmholtz equations with discontinuous normal derivatives at the scattering interface.\n  Keywords: Uniqueness, inverse medium scattering, Maxwell equations, one incoming wave, shape ident"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01786","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":"1809.01786","created_at":"2026-05-17T23:53:28.944876+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.01786v1","created_at":"2026-05-17T23:53:28.944876+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01786","created_at":"2026-05-17T23:53:28.944876+00:00"},{"alias_kind":"pith_short_12","alias_value":"N37ABVLLAXEM","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"N37ABVLLAXEMMM2P","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"N37ABVLL","created_at":"2026-05-18T12:32:40.477152+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/N37ABVLLAXEMMM2PGXNDMOWYIG","json":"https://pith.science/pith/N37ABVLLAXEMMM2PGXNDMOWYIG.json","graph_json":"https://pith.science/api/pith-number/N37ABVLLAXEMMM2PGXNDMOWYIG/graph.json","events_json":"https://pith.science/api/pith-number/N37ABVLLAXEMMM2PGXNDMOWYIG/events.json","paper":"https://pith.science/paper/N37ABVLL"},"agent_actions":{"view_html":"https://pith.science/pith/N37ABVLLAXEMMM2PGXNDMOWYIG","download_json":"https://pith.science/pith/N37ABVLLAXEMMM2PGXNDMOWYIG.json","view_paper":"https://pith.science/paper/N37ABVLL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.01786&json=true","fetch_graph":"https://pith.science/api/pith-number/N37ABVLLAXEMMM2PGXNDMOWYIG/graph.json","fetch_events":"https://pith.science/api/pith-number/N37ABVLLAXEMMM2PGXNDMOWYIG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N37ABVLLAXEMMM2PGXNDMOWYIG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N37ABVLLAXEMMM2PGXNDMOWYIG/action/storage_attestation","attest_author":"https://pith.science/pith/N37ABVLLAXEMMM2PGXNDMOWYIG/action/author_attestation","sign_citation":"https://pith.science/pith/N37ABVLLAXEMMM2PGXNDMOWYIG/action/citation_signature","submit_replication":"https://pith.science/pith/N37ABVLLAXEMMM2PGXNDMOWYIG/action/replication_record"}},"created_at":"2026-05-17T23:53:28.944876+00:00","updated_at":"2026-05-17T23:53:28.944876+00:00"}