{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UYXDIYXXA2TTPJQK6SY6DKLEBW","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":"57cff5e79144bba09ad23597b88bbb77be12976fc8e1822533ac15a1b4b9ecc9","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-25T21:34:45Z","title_canon_sha256":"c6dbad2992998bfdd4d90ad2afa6c7f1346caf88470a1cdd5bb7ea99247593c2"},"schema_version":"1.0","source":{"id":"2606.27562","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27562","created_at":"2026-06-29T00:14:10Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27562v1","created_at":"2026-06-29T00:14:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27562","created_at":"2026-06-29T00:14:10Z"},{"alias_kind":"pith_short_12","alias_value":"UYXDIYXXA2TT","created_at":"2026-06-29T00:14:10Z"},{"alias_kind":"pith_short_16","alias_value":"UYXDIYXXA2TTPJQK","created_at":"2026-06-29T00:14:10Z"},{"alias_kind":"pith_short_8","alias_value":"UYXDIYXX","created_at":"2026-06-29T00:14:10Z"}],"graph_snapshots":[{"event_id":"sha256:c6e4592746d90b96c070d5dacbe86eb9a2c28706b1f9e930110229fb65e6847a","target":"graph","created_at":"2026-06-29T00:14:10Z","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/2606.27562/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a two-dimensional non-hydrostatic model for shallow water wave dispersion. The model is based on a locally adapted application of a non-hydrostatic correction to the hydrostatic shallow water equations (SWE) in a predictor-corrector scheme. Applying the non-hydrostatic correction uniformly to the entire domain demands a high computational cost, since an elliptic system of equations needs to be solved for the correction terms. We demonstrate that by determining the area where the non-hydrostatic effects are significant, and applying the correction only locally, the computational ef","authors_text":"J\\\"orn Behrens, Kemal Firdaus","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-25T21:34:45Z","title":"Two-Dimensional Locally Adaptive Non-Hydrostatic Extension of Shallow Water Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27562","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":"sha256:92ecaafb766971b3b1dae4898549188ea4a54d9fb58fc639777a0557425b892f","target":"record","created_at":"2026-06-29T00:14:10Z","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":"57cff5e79144bba09ad23597b88bbb77be12976fc8e1822533ac15a1b4b9ecc9","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-06-25T21:34:45Z","title_canon_sha256":"c6dbad2992998bfdd4d90ad2afa6c7f1346caf88470a1cdd5bb7ea99247593c2"},"schema_version":"1.0","source":{"id":"2606.27562","kind":"arxiv","version":1}},"canonical_sha256":"a62e3462f706a737a60af4b1e1a9640d92076bc6feced52e2b4f3f307235d0a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a62e3462f706a737a60af4b1e1a9640d92076bc6feced52e2b4f3f307235d0a2","first_computed_at":"2026-06-29T00:14:10.073001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T00:14:10.073001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6u3cTT8DdLsaU8s1DGa/Up6ZyPaSgy16ZAd0+svWkEDhuX44LwVczEHGh+e1qGiecMeFzMkQLJPE5bAdpub8DA==","signature_status":"signed_v1","signed_at":"2026-06-29T00:14:10.073414Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27562","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92ecaafb766971b3b1dae4898549188ea4a54d9fb58fc639777a0557425b892f","sha256:c6e4592746d90b96c070d5dacbe86eb9a2c28706b1f9e930110229fb65e6847a"],"state_sha256":"0c2bac1e7c8aa3bd4711520d9f57a63b66f5f16d7759eeb45c1b1db95d98b350"}