{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:D662LBV524RQMIOILY57E5EXYX","short_pith_number":"pith:D662LBV5","schema_version":"1.0","canonical_sha256":"1fbda586bdd7230621c85e3bf27497c5eb79b0d8e41f1fec71554550645c5017","source":{"kind":"arxiv","id":"1401.6299","version":2},"attestation_state":"computed","paper":{"title":"Quasipotential and exit time for 2D Stochastic Navier-Stokes equations driven by space time white noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Mark Freidlin, Sandra Cerrai, Zdzislaw Brzezniak","submitted_at":"2014-01-24T09:57:53Z","abstract_excerpt":"We are dealing with the Navier-Stokes equation in a bounded regular domain $D$ of $\\mathbb{R}^2$, perturbed by an additive Gaussian noise $\\partial w^{Q_\\delta}/\\partial t$, which is white in time and colored in space. We assume that the correlation radius of the noise gets smaller and smaller as $\\delta\\searrow 0$, so that the noise converges to the white noise in space and time. For every $\\delta>0$ we introduce the large deviation action functional $S^\\delta_{0,T}$ and the corresponding quasi-potential $U_\\delta$ and, by using arguments from relaxation and $\\Gamma$-convergence we show that "},"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":"1401.6299","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-24T09:57:53Z","cross_cats_sorted":[],"title_canon_sha256":"f903238d1f462ce1512939cffd4c09dc4e73e8c5780af1e05f9ecdeb74f0bd05","abstract_canon_sha256":"9417892dc772a4a39987b3e8eccccbca96b4e4f0f4065d5c660549447bde532d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:50.277805Z","signature_b64":"ZVbBtmoK6gqXaXpfmreoVl3uKYsbfYVPyKq0QVjQJlf3j0wfz6gFjutalgDYFXKapTe4bmZB768oA7/zxC8PAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fbda586bdd7230621c85e3bf27497c5eb79b0d8e41f1fec71554550645c5017","last_reissued_at":"2026-05-18T02:50:50.277350Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:50.277350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasipotential and exit time for 2D Stochastic Navier-Stokes equations driven by space time white noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Mark Freidlin, Sandra Cerrai, Zdzislaw Brzezniak","submitted_at":"2014-01-24T09:57:53Z","abstract_excerpt":"We are dealing with the Navier-Stokes equation in a bounded regular domain $D$ of $\\mathbb{R}^2$, perturbed by an additive Gaussian noise $\\partial w^{Q_\\delta}/\\partial t$, which is white in time and colored in space. We assume that the correlation radius of the noise gets smaller and smaller as $\\delta\\searrow 0$, so that the noise converges to the white noise in space and time. For every $\\delta>0$ we introduce the large deviation action functional $S^\\delta_{0,T}$ and the corresponding quasi-potential $U_\\delta$ and, by using arguments from relaxation and $\\Gamma$-convergence we show that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6299","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":"1401.6299","created_at":"2026-05-18T02:50:50.277416+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.6299v2","created_at":"2026-05-18T02:50:50.277416+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6299","created_at":"2026-05-18T02:50:50.277416+00:00"},{"alias_kind":"pith_short_12","alias_value":"D662LBV524RQ","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"D662LBV524RQMIOI","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"D662LBV5","created_at":"2026-05-18T12:28:25.294606+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/D662LBV524RQMIOILY57E5EXYX","json":"https://pith.science/pith/D662LBV524RQMIOILY57E5EXYX.json","graph_json":"https://pith.science/api/pith-number/D662LBV524RQMIOILY57E5EXYX/graph.json","events_json":"https://pith.science/api/pith-number/D662LBV524RQMIOILY57E5EXYX/events.json","paper":"https://pith.science/paper/D662LBV5"},"agent_actions":{"view_html":"https://pith.science/pith/D662LBV524RQMIOILY57E5EXYX","download_json":"https://pith.science/pith/D662LBV524RQMIOILY57E5EXYX.json","view_paper":"https://pith.science/paper/D662LBV5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.6299&json=true","fetch_graph":"https://pith.science/api/pith-number/D662LBV524RQMIOILY57E5EXYX/graph.json","fetch_events":"https://pith.science/api/pith-number/D662LBV524RQMIOILY57E5EXYX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D662LBV524RQMIOILY57E5EXYX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D662LBV524RQMIOILY57E5EXYX/action/storage_attestation","attest_author":"https://pith.science/pith/D662LBV524RQMIOILY57E5EXYX/action/author_attestation","sign_citation":"https://pith.science/pith/D662LBV524RQMIOILY57E5EXYX/action/citation_signature","submit_replication":"https://pith.science/pith/D662LBV524RQMIOILY57E5EXYX/action/replication_record"}},"created_at":"2026-05-18T02:50:50.277416+00:00","updated_at":"2026-05-18T02:50:50.277416+00:00"}