{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DRUUBU3I665VUMW4OWSEH4UU52","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":"e35a51a39dcc9668a935e849f98dc980db8e39620c761a4bc86e4f464db53e62","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-23T13:30:52Z","title_canon_sha256":"dd7019840223dd46bc8eb3e6de6cee3178c0c53f021240a992dbff0f4b8ade4a"},"schema_version":"1.0","source":{"id":"2402.15312","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.15312","created_at":"2026-07-05T07:48:39Z"},{"alias_kind":"arxiv_version","alias_value":"2402.15312v1","created_at":"2026-07-05T07:48:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.15312","created_at":"2026-07-05T07:48:39Z"},{"alias_kind":"pith_short_12","alias_value":"DRUUBU3I665V","created_at":"2026-07-05T07:48:39Z"},{"alias_kind":"pith_short_16","alias_value":"DRUUBU3I665VUMW4","created_at":"2026-07-05T07:48:39Z"},{"alias_kind":"pith_short_8","alias_value":"DRUUBU3I","created_at":"2026-07-05T07:48:39Z"}],"graph_snapshots":[{"event_id":"sha256:8e37bad369f7fccdd2b2c7e1bb603130e8cd184db06df0bbb4e1798a12107cc6","target":"graph","created_at":"2026-07-05T07:48:39Z","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/2402.15312/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article explores the stability of stratified Couette flow in the viscous $3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves. These mechanisms are of fundamentally different nature and relevant in complementary dynamical regimes. Our study combines them to establish a bound for the nonlinear transition threshold, which is quantitatively larger than the inverse Reynolds number $\\nu$, and increases with stronger stratification resp. gravity.","authors_text":"Augusto Del Zotto, Klaus Widmayer, Michele Coti Zelati","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-23T13:30:52Z","title":"Stability of viscous three-dimensional stratified Couette flow via dispersion and mixing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.15312","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":"sha256:203dcc6e66b3c1dd0f0da62964b552765f4a762b8cc9ac3267abefc7af68c4e3","target":"record","created_at":"2026-07-05T07:48:39Z","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":"e35a51a39dcc9668a935e849f98dc980db8e39620c761a4bc86e4f464db53e62","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-23T13:30:52Z","title_canon_sha256":"dd7019840223dd46bc8eb3e6de6cee3178c0c53f021240a992dbff0f4b8ade4a"},"schema_version":"1.0","source":{"id":"2402.15312","kind":"arxiv","version":1}},"canonical_sha256":"1c6940d368f7bb5a32dc75a443f294eea7fd95789352ee9dd0610692b6b3cb90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c6940d368f7bb5a32dc75a443f294eea7fd95789352ee9dd0610692b6b3cb90","first_computed_at":"2026-07-05T07:48:39.136780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:48:39.136780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"faeU9dRpRAiAugV4vYdgb8Ibbk3B5CxmGfNbdO4QU5zl98ewUxdcYUd3wQ8I75k8UbuhWcbjd/Y6X8smeArzBg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:48:39.137150Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.15312","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:203dcc6e66b3c1dd0f0da62964b552765f4a762b8cc9ac3267abefc7af68c4e3","sha256:8e37bad369f7fccdd2b2c7e1bb603130e8cd184db06df0bbb4e1798a12107cc6"],"state_sha256":"b284522124dc20f497e3a5df0be3568570e21293cc89b7b70396fc7fc8f4c866"}