{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4OGUL7WXAZIA3MNXKTBOE56L4T","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":"c8e3278299dc09cf2d1fa7fc89bfc5f27acd44fca520b1060b7f62ff1897d0b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-03-15T08:37:29Z","title_canon_sha256":"ff9f7e072c84e2faf772e6f3878294bc83061117fa4f59713b482b80bf5c2a7d"},"schema_version":"1.0","source":{"id":"2503.12046","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.12046","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"arxiv_version","alias_value":"2503.12046v1","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.12046","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"pith_short_12","alias_value":"4OGUL7WXAZIA","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"pith_short_16","alias_value":"4OGUL7WXAZIA3MNX","created_at":"2026-05-20T14:03:18Z"},{"alias_kind":"pith_short_8","alias_value":"4OGUL7WX","created_at":"2026-05-20T14:03:18Z"}],"graph_snapshots":[{"event_id":"sha256:e00ebcf15a62e41ceeca95237dbc893bcacfe2bf2db0e6536ae41c53002a7ef4","target":"graph","created_at":"2026-05-20T14:03:18Z","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/2503.12046/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we investigate the link between kinetic equations (including Boltzmann with or without cutoff assumption and Landau equations) and the incompressible Navier-Stokes equation. We work with strong solutions and we treat all the cases in a unified framework. The main purpose of this work is to be as accurate as possible in terms of functional spaces. More precisely, it is well-known that the Navier-Stokes equation can be solved in a lower regularity setting (in the space variable) than kinetic equations. Our main result allows to get a rigorous link between solutions to the Navier-S","authors_text":"Isabelle Gallagher, Isabelle Tristani, Kleber Carrapatoso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-03-15T08:37:29Z","title":"The Navier-Stokes limit of kinetic equations for low regularity data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.12046","kind":"arxiv","version":1},"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:d78e60de22eb462902bec931b2407f6cfadd4343ed2e692bcd1b4b728b1e1a19","target":"record","created_at":"2026-05-20T14:03:18Z","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":"c8e3278299dc09cf2d1fa7fc89bfc5f27acd44fca520b1060b7f62ff1897d0b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-03-15T08:37:29Z","title_canon_sha256":"ff9f7e072c84e2faf772e6f3878294bc83061117fa4f59713b482b80bf5c2a7d"},"schema_version":"1.0","source":{"id":"2503.12046","kind":"arxiv","version":1}},"canonical_sha256":"e38d45fed706500db1b754c2e277cbe4f389d6e2202d5966b29de527649f398d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e38d45fed706500db1b754c2e277cbe4f389d6e2202d5966b29de527649f398d","first_computed_at":"2026-05-20T14:03:18.559294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T14:03:18.559294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FGIDOGLBdYCzHUpbI8mEro33x0sCtU6LORyizADuluPNViER/2WTERVmAHykxpj6vHHha+qSBD7fJIPnKTDMBA==","signature_status":"signed_v1","signed_at":"2026-05-20T14:03:18.559825Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.12046","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d78e60de22eb462902bec931b2407f6cfadd4343ed2e692bcd1b4b728b1e1a19","sha256:e00ebcf15a62e41ceeca95237dbc893bcacfe2bf2db0e6536ae41c53002a7ef4"],"state_sha256":"8f074472cf245c0ddb59e8f306071e0f1151d897b7d1c40f775cc4c8e7e81689"}