{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JQJKUE6RCSJQGM6F6U6TNWHTKF","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":"1b84fabe4a20ef620dea8698617174ef8c503687d84e0cb66ff850a923ff75f2","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-02-24T16:41:03Z","title_canon_sha256":"f905997fb0fab149da43154259b13836a356aa57e12277e07ceb2dfce92ba165"},"schema_version":"1.0","source":{"id":"2602.21077","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.21077","created_at":"2026-06-03T01:05:49Z"},{"alias_kind":"arxiv_version","alias_value":"2602.21077v2","created_at":"2026-06-03T01:05:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.21077","created_at":"2026-06-03T01:05:49Z"},{"alias_kind":"pith_short_12","alias_value":"JQJKUE6RCSJQ","created_at":"2026-06-03T01:05:49Z"},{"alias_kind":"pith_short_16","alias_value":"JQJKUE6RCSJQGM6F","created_at":"2026-06-03T01:05:49Z"},{"alias_kind":"pith_short_8","alias_value":"JQJKUE6R","created_at":"2026-06-03T01:05:49Z"}],"graph_snapshots":[{"event_id":"sha256:52236fb69e53602b253ad508825135d226745c4735e8f201ce2c0783c634be09","target":"graph","created_at":"2026-06-03T01:05:49Z","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/2602.21077/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate within the framework of linear theory the behaviour of the total (hydrodynamic) pressure and of the dynamic pressure in a regular wave train which propagates at the surface of water with a flat bed in a flow with constant vorticity. We show that nonzero vorticity, the hallmark of a non-uniform underlying current, may strongly alter the behaviour with respect to the case of irrotational flows, for which the maximum and minimum of the dynamic pressure always occur at the wave crest and at the wave trough, respectively (the extrema of the dynamic pressure may occur along the flat b","authors_text":"Adrian Constantin, Nicolas Gindrier, Otmar Scherzer","cross_cats":["math.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-02-24T16:41:03Z","title":"Pressure beneath a periodic travelling water-wave in constant-vorticity flow over a flat bed"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.21077","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":"sha256:5be9800c0ae568ae8e02ac949d8153d04e3baa69465e7774c37caec89835a030","target":"record","created_at":"2026-06-03T01:05:49Z","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":"1b84fabe4a20ef620dea8698617174ef8c503687d84e0cb66ff850a923ff75f2","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-02-24T16:41:03Z","title_canon_sha256":"f905997fb0fab149da43154259b13836a356aa57e12277e07ceb2dfce92ba165"},"schema_version":"1.0","source":{"id":"2602.21077","kind":"arxiv","version":2}},"canonical_sha256":"4c12aa13d114930333c5f53d36d8f3516f16c60e6bad719420979572c34ad45b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c12aa13d114930333c5f53d36d8f3516f16c60e6bad719420979572c34ad45b","first_computed_at":"2026-06-03T01:05:49.155262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T01:05:49.155262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gyQOyoTww/43O3vihmVfxtxh1nOqBs9A8/eLxQMTDo8JySVb7AcXa0T4ghBHnyT9bEksUOW4wF6wfwyRihfwAQ==","signature_status":"signed_v1","signed_at":"2026-06-03T01:05:49.155663Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.21077","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5be9800c0ae568ae8e02ac949d8153d04e3baa69465e7774c37caec89835a030","sha256:52236fb69e53602b253ad508825135d226745c4735e8f201ce2c0783c634be09"],"state_sha256":"e8053deaa1a482e3b2463cffa1dd1d890b2a116a260cb22f1881d282a069bd47"}