{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QJQA7CMDJ2DTW2W3VNTQUNHC2P","short_pith_number":"pith:QJQA7CMD","schema_version":"1.0","canonical_sha256":"82600f89834e873b6adbab670a34e2d3e0ebfe1b3693e12e297e8e568ac2969b","source":{"kind":"arxiv","id":"1802.03592","version":2},"attestation_state":"computed","paper":{"title":"Uniqueness results on phaseless inverse scattering with a reference ball","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Deyue Zhang, Yukun Guo","submitted_at":"2018-02-10T13:59:15Z","abstract_excerpt":"This paper is devoted to the uniqueness in inverse acoustic scattering problems for the Helmholtz equation with phaseless far-field data. Some novel techniques are developed to overcome the difficulty of translation invariance induced by a single incident plane wave. In this paper, based on adding a reference ball as an extra artificial impenetrable obstacle (resp. penetrable homogeneous medium) to the inverse obstacle (resp. medium) scattering system and then using superpositions of a fixed plane wave and some point sources as the incident waves, we rigorously prove that the location and shap"},"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":"1802.03592","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-10T13:59:15Z","cross_cats_sorted":[],"title_canon_sha256":"a0dabce313015fc8fed24069ec91d627b3d0622b57b870713e235cb999a76c93","abstract_canon_sha256":"466bc87e17fbe2e3669e3d42feb28cae820ccb71b1a1197a50d9665ed244aad4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:38.351213Z","signature_b64":"iGP79QIb4oh82HrCu9k7r2Rr45n1S0UnY6W0FAxE8U04RUu6z34jyVnbZ/jpoLJMEqa7cwbraEmkpCAa5OfYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82600f89834e873b6adbab670a34e2d3e0ebfe1b3693e12e297e8e568ac2969b","last_reissued_at":"2026-05-18T00:11:38.350626Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:38.350626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniqueness results on phaseless inverse scattering with a reference ball","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Deyue Zhang, Yukun Guo","submitted_at":"2018-02-10T13:59:15Z","abstract_excerpt":"This paper is devoted to the uniqueness in inverse acoustic scattering problems for the Helmholtz equation with phaseless far-field data. Some novel techniques are developed to overcome the difficulty of translation invariance induced by a single incident plane wave. In this paper, based on adding a reference ball as an extra artificial impenetrable obstacle (resp. penetrable homogeneous medium) to the inverse obstacle (resp. medium) scattering system and then using superpositions of a fixed plane wave and some point sources as the incident waves, we rigorously prove that the location and shap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03592","kind":"arxiv","version":2},"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":"1802.03592","created_at":"2026-05-18T00:11:38.350713+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.03592v2","created_at":"2026-05-18T00:11:38.350713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03592","created_at":"2026-05-18T00:11:38.350713+00:00"},{"alias_kind":"pith_short_12","alias_value":"QJQA7CMDJ2DT","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QJQA7CMDJ2DTW2W3","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QJQA7CMD","created_at":"2026-05-18T12:32:46.962924+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/QJQA7CMDJ2DTW2W3VNTQUNHC2P","json":"https://pith.science/pith/QJQA7CMDJ2DTW2W3VNTQUNHC2P.json","graph_json":"https://pith.science/api/pith-number/QJQA7CMDJ2DTW2W3VNTQUNHC2P/graph.json","events_json":"https://pith.science/api/pith-number/QJQA7CMDJ2DTW2W3VNTQUNHC2P/events.json","paper":"https://pith.science/paper/QJQA7CMD"},"agent_actions":{"view_html":"https://pith.science/pith/QJQA7CMDJ2DTW2W3VNTQUNHC2P","download_json":"https://pith.science/pith/QJQA7CMDJ2DTW2W3VNTQUNHC2P.json","view_paper":"https://pith.science/paper/QJQA7CMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.03592&json=true","fetch_graph":"https://pith.science/api/pith-number/QJQA7CMDJ2DTW2W3VNTQUNHC2P/graph.json","fetch_events":"https://pith.science/api/pith-number/QJQA7CMDJ2DTW2W3VNTQUNHC2P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QJQA7CMDJ2DTW2W3VNTQUNHC2P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QJQA7CMDJ2DTW2W3VNTQUNHC2P/action/storage_attestation","attest_author":"https://pith.science/pith/QJQA7CMDJ2DTW2W3VNTQUNHC2P/action/author_attestation","sign_citation":"https://pith.science/pith/QJQA7CMDJ2DTW2W3VNTQUNHC2P/action/citation_signature","submit_replication":"https://pith.science/pith/QJQA7CMDJ2DTW2W3VNTQUNHC2P/action/replication_record"}},"created_at":"2026-05-18T00:11:38.350713+00:00","updated_at":"2026-05-18T00:11:38.350713+00:00"}