{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:DAS7HWNDHJZUK5SN4PX334I464","short_pith_number":"pith:DAS7HWND","schema_version":"1.0","canonical_sha256":"1825f3d9a33a7345764de3efbdf11cf721c25db3a57f7250283655a698069918","source":{"kind":"arxiv","id":"1610.05855","version":1},"attestation_state":"computed","paper":{"title":"Imaging of locally rough surfaces from intensity-only far-field or near-field data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bo Zhang, Haiwen Zhang","submitted_at":"2016-10-19T03:40:38Z","abstract_excerpt":"This paper is concerned with a nonlinear imaging problem, which aims to reconstruct a locally perturbed, perfectly reflecting, infinite plane from intensity-only (or phaseless) far-field or near-field data. A recursive Newton iteration algorithm in frequencies is developed to reconstruct the locally rough surface from multi-frequency intensity-only far-field or near-field data, where the fast integral equation solver developed in [39] is used to solve the direct scattering problem in each iteration. For the case with far-field data, a main feature of our work is that the incident field is take"},"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":"1610.05855","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-19T03:40:38Z","cross_cats_sorted":[],"title_canon_sha256":"66a4a28d97c75c364e9b2f27558e238804264fd1b4c903173e2e923f1a05de0c","abstract_canon_sha256":"28e228233e78c3f04637dae2e7c3febe9bdb8b9cec7c3adb46fe56d28a5454e2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:09.119066Z","signature_b64":"3YHGjg5PoJkNcEFtWQT1fZPw4cmzMmF1Xhe2ollLwuK23Mw74TdP1auJzVEs4TmGDrcXTMtWF+jrdRh4ITvCBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1825f3d9a33a7345764de3efbdf11cf721c25db3a57f7250283655a698069918","last_reissued_at":"2026-05-18T00:43:09.118531Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:09.118531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Imaging of locally rough surfaces from intensity-only far-field or near-field data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bo Zhang, Haiwen Zhang","submitted_at":"2016-10-19T03:40:38Z","abstract_excerpt":"This paper is concerned with a nonlinear imaging problem, which aims to reconstruct a locally perturbed, perfectly reflecting, infinite plane from intensity-only (or phaseless) far-field or near-field data. A recursive Newton iteration algorithm in frequencies is developed to reconstruct the locally rough surface from multi-frequency intensity-only far-field or near-field data, where the fast integral equation solver developed in [39] is used to solve the direct scattering problem in each iteration. For the case with far-field data, a main feature of our work is that the incident field is take"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05855","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":"1610.05855","created_at":"2026-05-18T00:43:09.118614+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.05855v1","created_at":"2026-05-18T00:43:09.118614+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05855","created_at":"2026-05-18T00:43:09.118614+00:00"},{"alias_kind":"pith_short_12","alias_value":"DAS7HWNDHJZU","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"DAS7HWNDHJZUK5SN","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"DAS7HWND","created_at":"2026-05-18T12:30:09.641336+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/DAS7HWNDHJZUK5SN4PX334I464","json":"https://pith.science/pith/DAS7HWNDHJZUK5SN4PX334I464.json","graph_json":"https://pith.science/api/pith-number/DAS7HWNDHJZUK5SN4PX334I464/graph.json","events_json":"https://pith.science/api/pith-number/DAS7HWNDHJZUK5SN4PX334I464/events.json","paper":"https://pith.science/paper/DAS7HWND"},"agent_actions":{"view_html":"https://pith.science/pith/DAS7HWNDHJZUK5SN4PX334I464","download_json":"https://pith.science/pith/DAS7HWNDHJZUK5SN4PX334I464.json","view_paper":"https://pith.science/paper/DAS7HWND","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.05855&json=true","fetch_graph":"https://pith.science/api/pith-number/DAS7HWNDHJZUK5SN4PX334I464/graph.json","fetch_events":"https://pith.science/api/pith-number/DAS7HWNDHJZUK5SN4PX334I464/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DAS7HWNDHJZUK5SN4PX334I464/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DAS7HWNDHJZUK5SN4PX334I464/action/storage_attestation","attest_author":"https://pith.science/pith/DAS7HWNDHJZUK5SN4PX334I464/action/author_attestation","sign_citation":"https://pith.science/pith/DAS7HWNDHJZUK5SN4PX334I464/action/citation_signature","submit_replication":"https://pith.science/pith/DAS7HWNDHJZUK5SN4PX334I464/action/replication_record"}},"created_at":"2026-05-18T00:43:09.118614+00:00","updated_at":"2026-05-18T00:43:09.118614+00:00"}