{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:23OUVTI3GAW4KHGZL6DOTT2RKJ","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":"b1294ecdf844ccc7b4430de3a2123c0691c9bf787508d5750d6e9f94d7c1f3c8","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-06-21T00:40:24Z","title_canon_sha256":"3d6e52b02b1a08d1ec65d22be9476004232b05bab8b03710c3f7462c5892ac63"},"schema_version":"1.0","source":{"id":"1306.5028","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5028","created_at":"2026-05-18T02:53:41Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5028v3","created_at":"2026-05-18T02:53:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5028","created_at":"2026-05-18T02:53:41Z"},{"alias_kind":"pith_short_12","alias_value":"23OUVTI3GAW4","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"23OUVTI3GAW4KHGZ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"23OUVTI3","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:9d51881ecab9f99ed6750fe15c23471e3dc42ee6a2e5455ff48de03a75f7a672","target":"graph","created_at":"2026-05-18T02:53:41Z","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 asymptotic stability of shear flows close to the planar Couette flow in the 2D inviscid Euler equations on $\\Torus \\times \\Real$. That is, given an initial perturbation of the Couette flow small in a suitable regularity class, specifically Gevrey space of class smaller than 2, the velocity converges strongly in L^2 to a shear flow which is also close to the Couette flow. The vorticity is asymptotically driven to small scales by a linear evolution and weakly converges as $t \\rightarrow \\pm\\infty$. The strong convergence of the velocity field is sometimes referred to as inviscid damping","authors_text":"Jacob Bedrossian, Nader Masmoudi","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-06-21T00:40:24Z","title":"Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5028","kind":"arxiv","version":3},"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":"sha256:6a767136fea9d0e174e96ea29d89f47378411c4342d041cfc4717ac68c45f11a","target":"record","created_at":"2026-05-18T02:53:41Z","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":"b1294ecdf844ccc7b4430de3a2123c0691c9bf787508d5750d6e9f94d7c1f3c8","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-06-21T00:40:24Z","title_canon_sha256":"3d6e52b02b1a08d1ec65d22be9476004232b05bab8b03710c3f7462c5892ac63"},"schema_version":"1.0","source":{"id":"1306.5028","kind":"arxiv","version":3}},"canonical_sha256":"d6dd4acd1b302dc51cd95f86e9cf5152745557e427accfcc3be4fe1181a15479","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6dd4acd1b302dc51cd95f86e9cf5152745557e427accfcc3be4fe1181a15479","first_computed_at":"2026-05-18T02:53:41.362040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:41.362040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JxYkmWaeoXVfkMCE6jFKcgXN4K6y7d44j+2z/dM9DcnL+fVGEdznk6Cm9QD7zTfDe9lhz0GTGhxKtyIQRJWKDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:41.362573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5028","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a767136fea9d0e174e96ea29d89f47378411c4342d041cfc4717ac68c45f11a","sha256:9d51881ecab9f99ed6750fe15c23471e3dc42ee6a2e5455ff48de03a75f7a672"],"state_sha256":"2b8efe6e3ea03d7da2c7dcf1006dc6c11f8bb2861a16fa4a0c303a8b9419a40b"}