{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YL43ULDGNHELWFBGQQT7TDJSCX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c1a849e3c9001d5e8b442fe07c8f62d53e1c9a5cdb9f3192803c58dcdb559726","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-08-08T14:33:24Z","title_canon_sha256":"d27681e8e8723bcac8a6734f86463f380fc995bc1017ec5d79b1330152e5f772"},"schema_version":"1.0","source":{"id":"2308.04290","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.04290","created_at":"2026-07-05T06:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"2308.04290v2","created_at":"2026-07-05T06:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.04290","created_at":"2026-07-05T06:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"YL43ULDGNHEL","created_at":"2026-07-05T06:41:51Z"},{"alias_kind":"pith_short_16","alias_value":"YL43ULDGNHELWFBG","created_at":"2026-07-05T06:41:51Z"},{"alias_kind":"pith_short_8","alias_value":"YL43ULDG","created_at":"2026-07-05T06:41:51Z"}],"graph_snapshots":[{"event_id":"sha256:bb8fe3e5e4af5553976736001c3ee1b90bb14bf5a28ba247b05044ed6a9fc268","target":"graph","created_at":"2026-07-05T06:41:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2308.04290/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the existence and uniqueness of global, probabilistically strong, analytically strong solutions of the 2D Stochastic Navier-Stokes Equation under Navier boundary conditions. The choice of noise includes a large class of additive, multiplicative and transport models. We emphasise that with a transport type noise, the Navier boundary conditions enable direct energy estimates which appear to be prohibited for the usual no-slip condition. The importance of the Stochastic Advection by Lie Transport (SALT) structure, in comparison to a purely transport Stratonovich noise, is also highlighte","authors_text":"Daniel Goodair","cross_cats":["math.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-08-08T14:33:24Z","title":"Navier-Stokes Equations with Navier Boundary Conditions and Stochastic Lie Transport: Well-Posedness and Inviscid Limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.04290","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:279a12a3574733006ef45c539ee2280d40ae81c42e938218cee8969ef6e8fade","target":"record","created_at":"2026-07-05T06:41:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c1a849e3c9001d5e8b442fe07c8f62d53e1c9a5cdb9f3192803c58dcdb559726","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-08-08T14:33:24Z","title_canon_sha256":"d27681e8e8723bcac8a6734f86463f380fc995bc1017ec5d79b1330152e5f772"},"schema_version":"1.0","source":{"id":"2308.04290","kind":"arxiv","version":2}},"canonical_sha256":"c2f9ba2c6669c8bb14268427f98d3215e343746ddd5b072ed79d4d41bd6c0d68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2f9ba2c6669c8bb14268427f98d3215e343746ddd5b072ed79d4d41bd6c0d68","first_computed_at":"2026-07-05T06:41:51.121971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:41:51.121971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+O+FY/Qa5p9/8gwAXgV+lwRaxhg7SN+tQjTCNY+QOZxww5dzmEUatPtCt4VCFGWvvKavJ28Mjrsm/6V5bwcCCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:41:51.122449Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.04290","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:279a12a3574733006ef45c539ee2280d40ae81c42e938218cee8969ef6e8fade","sha256:bb8fe3e5e4af5553976736001c3ee1b90bb14bf5a28ba247b05044ed6a9fc268"],"state_sha256":"afcd3b4f49b1769f2cdad30f36861d71e70a1d3564084a6998fdf3b0e32b5e68"}