{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:UEL4U5P4YSICRZTDJTF3VPOUMS","short_pith_number":"pith:UEL4U5P4","schema_version":"1.0","canonical_sha256":"a117ca75fcc49028e6634ccbbabdd4649afdc6bb33e5fac96e71a84941776c4f","source":{"kind":"arxiv","id":"1702.03024","version":1},"attestation_state":"computed","paper":{"title":"On a backward problem for multidimensional Ginzburg-Landau equation with random data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR","math.SP"],"primary_cat":"math.AP","authors_text":"Erkan Nane, Mokhtar Kirane, Nguyen Huy Tuan","submitted_at":"2017-02-10T00:36:35Z","abstract_excerpt":"In this paper, we consider a backward in time problem for Ginzburg-Landau equation in multidimensional domain associated with some random data. The problem is ill-posed in the sense of Hadamard. To regularize the instable solution, we develop a new regularized method combined with statistical approach to solve this problem. We prove a upper bound, on the rate of convergence of the mean integrated squared error in $L^2 $ norm and $H^1$ norm."},"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":"1702.03024","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-10T00:36:35Z","cross_cats_sorted":["math-ph","math.MP","math.PR","math.SP"],"title_canon_sha256":"96101aabc91f5629998bd02a472e144eae8037a315881dbcfcc96c9b37dfb8cb","abstract_canon_sha256":"10aa762d636c26f808aab76a13eedc3e6384f6d3dcd8fe827a3fcb1e79d017af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:01.210999Z","signature_b64":"WO00sobwwCIVsysf5HRRt3W9sJyzxTLvswhuuNylAt3dNMAjBREvKe3x/8nJZLAtqm67/5t0qYmnihXTZom3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a117ca75fcc49028e6634ccbbabdd4649afdc6bb33e5fac96e71a84941776c4f","last_reissued_at":"2026-05-18T00:26:01.210255Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:01.210255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a backward problem for multidimensional Ginzburg-Landau equation with random data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR","math.SP"],"primary_cat":"math.AP","authors_text":"Erkan Nane, Mokhtar Kirane, Nguyen Huy Tuan","submitted_at":"2017-02-10T00:36:35Z","abstract_excerpt":"In this paper, we consider a backward in time problem for Ginzburg-Landau equation in multidimensional domain associated with some random data. The problem is ill-posed in the sense of Hadamard. To regularize the instable solution, we develop a new regularized method combined with statistical approach to solve this problem. We prove a upper bound, on the rate of convergence of the mean integrated squared error in $L^2 $ norm and $H^1$ norm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03024","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":"1702.03024","created_at":"2026-05-18T00:26:01.210391+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.03024v1","created_at":"2026-05-18T00:26:01.210391+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03024","created_at":"2026-05-18T00:26:01.210391+00:00"},{"alias_kind":"pith_short_12","alias_value":"UEL4U5P4YSIC","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"UEL4U5P4YSICRZTD","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"UEL4U5P4","created_at":"2026-05-18T12:31:46.661854+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/UEL4U5P4YSICRZTDJTF3VPOUMS","json":"https://pith.science/pith/UEL4U5P4YSICRZTDJTF3VPOUMS.json","graph_json":"https://pith.science/api/pith-number/UEL4U5P4YSICRZTDJTF3VPOUMS/graph.json","events_json":"https://pith.science/api/pith-number/UEL4U5P4YSICRZTDJTF3VPOUMS/events.json","paper":"https://pith.science/paper/UEL4U5P4"},"agent_actions":{"view_html":"https://pith.science/pith/UEL4U5P4YSICRZTDJTF3VPOUMS","download_json":"https://pith.science/pith/UEL4U5P4YSICRZTDJTF3VPOUMS.json","view_paper":"https://pith.science/paper/UEL4U5P4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.03024&json=true","fetch_graph":"https://pith.science/api/pith-number/UEL4U5P4YSICRZTDJTF3VPOUMS/graph.json","fetch_events":"https://pith.science/api/pith-number/UEL4U5P4YSICRZTDJTF3VPOUMS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UEL4U5P4YSICRZTDJTF3VPOUMS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UEL4U5P4YSICRZTDJTF3VPOUMS/action/storage_attestation","attest_author":"https://pith.science/pith/UEL4U5P4YSICRZTDJTF3VPOUMS/action/author_attestation","sign_citation":"https://pith.science/pith/UEL4U5P4YSICRZTDJTF3VPOUMS/action/citation_signature","submit_replication":"https://pith.science/pith/UEL4U5P4YSICRZTDJTF3VPOUMS/action/replication_record"}},"created_at":"2026-05-18T00:26:01.210391+00:00","updated_at":"2026-05-18T00:26:01.210391+00:00"}