{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:KVXXIPSMAEMJOI45JGIKSUGQO3","short_pith_number":"pith:KVXXIPSM","schema_version":"1.0","canonical_sha256":"556f743e4c011897239d4990a950d076e01711802a08771506471f5651816378","source":{"kind":"arxiv","id":"1104.5567","version":1},"attestation_state":"computed","paper":{"title":"2D Backward Stochastic Navier-Stokes Equations with Nonlinear Forcing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jinniao Qiu, Shanjian Tang, Yuncheng You","submitted_at":"2011-04-29T08:33:04Z","abstract_excerpt":"The paper is concerned with the existence and uniqueness of a strong solution to a two-dimensional backward stochastic Navier-Stokes equation with nonlinear forcing, driven by a Brownian motion. We use the spectral approximation and the truncation and variational techniques. The methodology features an interactive analysis on basis of the regularity of the deterministic Navier-Stokes dynamics and the stochastic properties of the It\\^o-type diffusion processes."},"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":"1104.5567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-04-29T08:33:04Z","cross_cats_sorted":[],"title_canon_sha256":"b9f8d58307863e12b86abed967847c5a307aa0d6c34b62fe00408e404bfe4898","abstract_canon_sha256":"cea46a2690753a57bf589e175ce42d71734aa6494d266bb6d4c51be9aa751d30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:20.753713Z","signature_b64":"kQssgaknfYcWAcbFAvffK9K8Yz88QPjjjq8NWLWxkMkzf/2m2nNvdNXv3cY7gZc1tNwuHuHpQ/Jl0NX6yX8mDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"556f743e4c011897239d4990a950d076e01711802a08771506471f5651816378","last_reissued_at":"2026-05-18T04:23:20.753242Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:20.753242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"2D Backward Stochastic Navier-Stokes Equations with Nonlinear Forcing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jinniao Qiu, Shanjian Tang, Yuncheng You","submitted_at":"2011-04-29T08:33:04Z","abstract_excerpt":"The paper is concerned with the existence and uniqueness of a strong solution to a two-dimensional backward stochastic Navier-Stokes equation with nonlinear forcing, driven by a Brownian motion. We use the spectral approximation and the truncation and variational techniques. The methodology features an interactive analysis on basis of the regularity of the deterministic Navier-Stokes dynamics and the stochastic properties of the It\\^o-type diffusion processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5567","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":"1104.5567","created_at":"2026-05-18T04:23:20.753321+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.5567v1","created_at":"2026-05-18T04:23:20.753321+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5567","created_at":"2026-05-18T04:23:20.753321+00:00"},{"alias_kind":"pith_short_12","alias_value":"KVXXIPSMAEMJ","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"KVXXIPSMAEMJOI45","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"KVXXIPSM","created_at":"2026-05-18T12:26:34.985390+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/KVXXIPSMAEMJOI45JGIKSUGQO3","json":"https://pith.science/pith/KVXXIPSMAEMJOI45JGIKSUGQO3.json","graph_json":"https://pith.science/api/pith-number/KVXXIPSMAEMJOI45JGIKSUGQO3/graph.json","events_json":"https://pith.science/api/pith-number/KVXXIPSMAEMJOI45JGIKSUGQO3/events.json","paper":"https://pith.science/paper/KVXXIPSM"},"agent_actions":{"view_html":"https://pith.science/pith/KVXXIPSMAEMJOI45JGIKSUGQO3","download_json":"https://pith.science/pith/KVXXIPSMAEMJOI45JGIKSUGQO3.json","view_paper":"https://pith.science/paper/KVXXIPSM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.5567&json=true","fetch_graph":"https://pith.science/api/pith-number/KVXXIPSMAEMJOI45JGIKSUGQO3/graph.json","fetch_events":"https://pith.science/api/pith-number/KVXXIPSMAEMJOI45JGIKSUGQO3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KVXXIPSMAEMJOI45JGIKSUGQO3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KVXXIPSMAEMJOI45JGIKSUGQO3/action/storage_attestation","attest_author":"https://pith.science/pith/KVXXIPSMAEMJOI45JGIKSUGQO3/action/author_attestation","sign_citation":"https://pith.science/pith/KVXXIPSMAEMJOI45JGIKSUGQO3/action/citation_signature","submit_replication":"https://pith.science/pith/KVXXIPSMAEMJOI45JGIKSUGQO3/action/replication_record"}},"created_at":"2026-05-18T04:23:20.753321+00:00","updated_at":"2026-05-18T04:23:20.753321+00:00"}