{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6NH7Q6R5PIXMG5MHPFGBRKJXHU","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":"d6751ea85bbc6739457b56c4c782b1c816ca38aaa08c529ce42a4739e50ecca0","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-03-16T13:51:51Z","title_canon_sha256":"3d4d4345754503e1e842f0737efca385ec541b0b3bb5ac89efe473638dffa775"},"schema_version":"1.0","source":{"id":"2603.15287","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.15287","created_at":"2026-07-13T01:18:05Z"},{"alias_kind":"arxiv_version","alias_value":"2603.15287v2","created_at":"2026-07-13T01:18:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.15287","created_at":"2026-07-13T01:18:05Z"},{"alias_kind":"pith_short_12","alias_value":"6NH7Q6R5PIXM","created_at":"2026-07-13T01:18:05Z"},{"alias_kind":"pith_short_16","alias_value":"6NH7Q6R5PIXMG5MH","created_at":"2026-07-13T01:18:05Z"},{"alias_kind":"pith_short_8","alias_value":"6NH7Q6R5","created_at":"2026-07-13T01:18:05Z"}],"graph_snapshots":[{"event_id":"sha256:06bcb25c4cf7901d574d03256f44455917b08ec09136e700862eabab8bf94e0c","target":"graph","created_at":"2026-07-13T01:18:05Z","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/2603.15287/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the study of oceanic flows at the geophysical scale, the phenomenon of density stratification plays a central role in the dynamics of the system. Two categories of mathematical models are commonly used to describe the role played by the density stratification: on the one hand, continuously stratified models - such as the stratified Euler equations in a strip, considered in the present article - offer an accurate description of vertical effects, but come with a high level of complexity, both at the theoretical and numerical levels. On the other hand, bilayer models approximate the stratifica","authors_text":"Th\\'eo Fradin","cross_cats":["math.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-03-16T13:51:51Z","title":"Numerical study of the sharp stratification limit towards bilayer models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.15287","kind":"arxiv","version":2},"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":"sha256:0060c759434df1d0238d718d5c59720ee1b0a52ba0ea41ff09379902ea63ca64","target":"record","created_at":"2026-07-13T01:18:05Z","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":"d6751ea85bbc6739457b56c4c782b1c816ca38aaa08c529ce42a4739e50ecca0","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-03-16T13:51:51Z","title_canon_sha256":"3d4d4345754503e1e842f0737efca385ec541b0b3bb5ac89efe473638dffa775"},"schema_version":"1.0","source":{"id":"2603.15287","kind":"arxiv","version":2}},"canonical_sha256":"f34ff87a3d7a2ec37587794c18a9373d37968ebc3c96679209294f49e2df8967","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f34ff87a3d7a2ec37587794c18a9373d37968ebc3c96679209294f49e2df8967","first_computed_at":"2026-07-13T01:18:05.425584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T01:18:05.425584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZQmIUVci9KFzruJCoHitrx18NSWKTofGc+T/5y6MH8oqTkBsLHhIT4aeyDqgZFp33+S8Hk9FtlbRWisvicYZAg==","signature_status":"signed_v1","signed_at":"2026-07-13T01:18:05.427045Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.15287","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0060c759434df1d0238d718d5c59720ee1b0a52ba0ea41ff09379902ea63ca64","sha256:06bcb25c4cf7901d574d03256f44455917b08ec09136e700862eabab8bf94e0c"],"state_sha256":"57b749f885ffdc24c3627bcbb628760ae985b5096459c7f46bc89d359f3d221a"}