{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FTTUCYGTC35HQGLGULZDWAWBMG","short_pith_number":"pith:FTTUCYGT","schema_version":"1.0","canonical_sha256":"2ce74160d316fa781966a2f23b02c161b54d0bd69795a7466377eaf0008f609e","source":{"kind":"arxiv","id":"1612.04014","version":1},"attestation_state":"computed","paper":{"title":"A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multi-frequency data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Dinh-Liem Nguyen, Hui Liu, Loc H. Nguyen, Michael V. Klibanov","submitted_at":"2016-12-13T03:34:51Z","abstract_excerpt":"The goal of this paper is to reconstruct spatially distributed dielectric constants from complex-valued scattered wave field by solving a 3D coefficient inverse problem for the Helmholtz equation at multi-frequencies. The data are generated by only a single direction of the incident plane wave. To solve this inverse problem, a globally convergent algorithm is analytically developed. We prove that this algorithm provides a good approximation for the exact coefficient without any \\textit{a priori} knowledge of any point in a small neighborhood of that coefficient. This is the main advantage of o"},"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":"1612.04014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-13T03:34:51Z","cross_cats_sorted":[],"title_canon_sha256":"f9d67c3a005ee90112df9c9b3ba305cf2d7b164816b456c570f0d346654f91b6","abstract_canon_sha256":"592cad76eb80a18b332b7c8dbc19b49a0ac16f5488601bca82869233a3497722"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:05.839007Z","signature_b64":"qhW9tSgljo6D1w+vEAhne/NrB9poNhN3ybYiHoNBNtQIT6T4mDuvaJF1hGZexfIoxKMSLP1qD070BZyJA9TKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ce74160d316fa781966a2f23b02c161b54d0bd69795a7466377eaf0008f609e","last_reissued_at":"2026-05-18T00:55:05.838397Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:05.838397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multi-frequency data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Dinh-Liem Nguyen, Hui Liu, Loc H. Nguyen, Michael V. Klibanov","submitted_at":"2016-12-13T03:34:51Z","abstract_excerpt":"The goal of this paper is to reconstruct spatially distributed dielectric constants from complex-valued scattered wave field by solving a 3D coefficient inverse problem for the Helmholtz equation at multi-frequencies. The data are generated by only a single direction of the incident plane wave. To solve this inverse problem, a globally convergent algorithm is analytically developed. We prove that this algorithm provides a good approximation for the exact coefficient without any \\textit{a priori} knowledge of any point in a small neighborhood of that coefficient. This is the main advantage of o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04014","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":"1612.04014","created_at":"2026-05-18T00:55:05.838504+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.04014v1","created_at":"2026-05-18T00:55:05.838504+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04014","created_at":"2026-05-18T00:55:05.838504+00:00"},{"alias_kind":"pith_short_12","alias_value":"FTTUCYGTC35H","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FTTUCYGTC35HQGLG","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FTTUCYGT","created_at":"2026-05-18T12:30:15.759754+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/FTTUCYGTC35HQGLGULZDWAWBMG","json":"https://pith.science/pith/FTTUCYGTC35HQGLGULZDWAWBMG.json","graph_json":"https://pith.science/api/pith-number/FTTUCYGTC35HQGLGULZDWAWBMG/graph.json","events_json":"https://pith.science/api/pith-number/FTTUCYGTC35HQGLGULZDWAWBMG/events.json","paper":"https://pith.science/paper/FTTUCYGT"},"agent_actions":{"view_html":"https://pith.science/pith/FTTUCYGTC35HQGLGULZDWAWBMG","download_json":"https://pith.science/pith/FTTUCYGTC35HQGLGULZDWAWBMG.json","view_paper":"https://pith.science/paper/FTTUCYGT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.04014&json=true","fetch_graph":"https://pith.science/api/pith-number/FTTUCYGTC35HQGLGULZDWAWBMG/graph.json","fetch_events":"https://pith.science/api/pith-number/FTTUCYGTC35HQGLGULZDWAWBMG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FTTUCYGTC35HQGLGULZDWAWBMG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FTTUCYGTC35HQGLGULZDWAWBMG/action/storage_attestation","attest_author":"https://pith.science/pith/FTTUCYGTC35HQGLGULZDWAWBMG/action/author_attestation","sign_citation":"https://pith.science/pith/FTTUCYGTC35HQGLGULZDWAWBMG/action/citation_signature","submit_replication":"https://pith.science/pith/FTTUCYGTC35HQGLGULZDWAWBMG/action/replication_record"}},"created_at":"2026-05-18T00:55:05.838504+00:00","updated_at":"2026-05-18T00:55:05.838504+00:00"}