{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HICHK5VDCS7HN6ELSCK2P2JUJO","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":"56b8ad18962942a9419f63fa30ee5a490e49426bceac211b2d87cf0a4336b32b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-03T10:48:13Z","title_canon_sha256":"25055e7648dbdc85ff86707d53a2f4028d60d4b3dc0ceb1499bb83c0747e6c70"},"schema_version":"1.0","source":{"id":"1202.0657","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.0657","created_at":"2026-05-18T04:03:08Z"},{"alias_kind":"arxiv_version","alias_value":"1202.0657v1","created_at":"2026-05-18T04:03:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.0657","created_at":"2026-05-18T04:03:08Z"},{"alias_kind":"pith_short_12","alias_value":"HICHK5VDCS7H","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HICHK5VDCS7HN6EL","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HICHK5VD","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:64b0895246114208b82156ee81917f5cc1cc680355ce857479141d541330593e","target":"graph","created_at":"2026-05-18T04:03:08Z","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"},"paper":{"abstract_excerpt":"We study the inviscid limit of the free boundary Navier-Stokes equations. We prove the existence of solutions on a uniform time interval by using a suitable functional framework based on Sobolev conormal spaces.\n  This allows us to use a strong compactness argument to justify the inviscid limit. Our approach does not rely on the justification of asymptotic expansions. In particular, we get a new existence result for the Euler equations with free surface from the one for Navier-Stokes.","authors_text":"Fr\\'ed\\'eric Rousset, Nader Masmoudi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-03T10:48:13Z","title":"Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.0657","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":"sha256:4a0e6854cfa333260ac4a6cf2a0c7e58e34f446a864a370fc6afaabf04ddeccd","target":"record","created_at":"2026-05-18T04:03:08Z","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":"56b8ad18962942a9419f63fa30ee5a490e49426bceac211b2d87cf0a4336b32b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-03T10:48:13Z","title_canon_sha256":"25055e7648dbdc85ff86707d53a2f4028d60d4b3dc0ceb1499bb83c0747e6c70"},"schema_version":"1.0","source":{"id":"1202.0657","kind":"arxiv","version":1}},"canonical_sha256":"3a047576a314be76f88b9095a7e9344bbc2527992eb6505e6bc83e698ae89aee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a047576a314be76f88b9095a7e9344bbc2527992eb6505e6bc83e698ae89aee","first_computed_at":"2026-05-18T04:03:08.308575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:08.308575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nNEnqzfD/RDomxY3iZEQnQnFuLCZmztz8FecMMWPgSpXS4bU9uJAIHq7KuxifCMkPPjL+HFGdw9Z+6cPBxY+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:08.309237Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.0657","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a0e6854cfa333260ac4a6cf2a0c7e58e34f446a864a370fc6afaabf04ddeccd","sha256:64b0895246114208b82156ee81917f5cc1cc680355ce857479141d541330593e"],"state_sha256":"3714493d58917a2db39468bea6444393601d48b1d3489d7e75febf5d6ba98761"}