{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FFY37U5DOX3P5QCTSDKEQM6WVU","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":"e267e0861dc60b94af746dff838b3e62053506642d2a2b863614d55e330efda9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-03T21:34:24Z","title_canon_sha256":"41f3f213daba52a401cb6dbf1c13e40006ebdead59a196255646c97b1bf8fd58"},"schema_version":"1.0","source":{"id":"1803.01246","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01246","created_at":"2026-05-18T00:22:01Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01246v1","created_at":"2026-05-18T00:22:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01246","created_at":"2026-05-18T00:22:01Z"},{"alias_kind":"pith_short_12","alias_value":"FFY37U5DOX3P","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FFY37U5DOX3P5QCT","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FFY37U5D","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:0fa54e6310496574c1121928ebaf1bfbf0eb9b776c777968745b0af6b971b13d","target":"graph","created_at":"2026-05-18T00:22:01Z","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 prove the instability of the Couette flow if the disturbances is less smooth than the Gevrey space of class 2. This shows that this is the critical regularity for this problem since it was proved in [5] that stability and inviscid damping hold for disturbances which are smoother than the Gevrey space of class 2. A big novelty is that this critical space is due to an instability mechanism which is completely nonlinear and is due to some energy cascade.","authors_text":"Nader Masmoudi, Yu Deng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-03T21:34:24Z","title":"Long time instability of the Couette flow in low Gevrey spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01246","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":"sha256:3a7c79468cb33d00e18c8517b25d3ba10af21690d704a6d46367de6f054fce06","target":"record","created_at":"2026-05-18T00:22:01Z","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":"e267e0861dc60b94af746dff838b3e62053506642d2a2b863614d55e330efda9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-03T21:34:24Z","title_canon_sha256":"41f3f213daba52a401cb6dbf1c13e40006ebdead59a196255646c97b1bf8fd58"},"schema_version":"1.0","source":{"id":"1803.01246","kind":"arxiv","version":1}},"canonical_sha256":"2971bfd3a375f6fec05390d44833d6ad1944077521ea2a0210cb97388ce3ecc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2971bfd3a375f6fec05390d44833d6ad1944077521ea2a0210cb97388ce3ecc3","first_computed_at":"2026-05-18T00:22:01.287783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:01.287783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xg56+PfLmTEyNdK7Bx2cIJjw5N1zopIDeSFP0EFezShXp5/B5iyV24BFLis7vGW1hwJ6Ex6l777tYea3pzE1Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:01.288407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.01246","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a7c79468cb33d00e18c8517b25d3ba10af21690d704a6d46367de6f054fce06","sha256:0fa54e6310496574c1121928ebaf1bfbf0eb9b776c777968745b0af6b971b13d"],"state_sha256":"587ced37ec48e764097efc1af7275002c605a7295361a125349fddf8647ffbd6"}