{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:GZR276GEBBRFDHKAX47CNS54QB","short_pith_number":"pith:GZR276GE","schema_version":"1.0","canonical_sha256":"3663aff8c40862519d40bf3e26cbbc804592d6fc730636a480d54a0a784971d8","source":{"kind":"arxiv","id":"2511.20092","version":2},"attestation_state":"computed","paper":{"title":"An ALE approach to reduce spurious numerical mixing through variational minimizers: application to internal waves","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.ao-ph","physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Andreas Alexandris-Galanopoulos, George Papadakis","submitted_at":"2025-11-25T09:09:01Z","abstract_excerpt":"Spurious numerical mixing is a frequent phenomenon in ocean models. In this paper, we present an efficient and robust methodology that defines the vertical grid motion so that this mixing is reduced. This motion is defined as the solution of an optimization problem that -- using the ideas of the calculus of variations -- results in an elliptic partial differential equation, which is straightforward to analyze and discretize. This framework is generally applicable to any ocean model that uses an Arbitrary Lagrangian-Eulerian (ALE) vertical coordinate and can be tuned to fit the modeler's specif"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2511.20092","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-11-25T09:09:01Z","cross_cats_sorted":["physics.ao-ph","physics.flu-dyn"],"title_canon_sha256":"6f1acbae1a9fdc7e0a3af938788f33f1a70e69cafc46c4652d7291d5d3ab8a77","abstract_canon_sha256":"975f204561f4ba924e05bfb3abef6984dce665db4cd754dda25267af074e0c2a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:05:40.274883Z","signature_b64":"N1ouwbdee9wfVdh+h9+KlqTxDVTPT2EXkpVZYyoRMZMzlI3F+oZeffP6p7G4qw8fImTGbrFLv5HOU/q8rQi8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3663aff8c40862519d40bf3e26cbbc804592d6fc730636a480d54a0a784971d8","last_reissued_at":"2026-05-27T01:05:40.274084Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:05:40.274084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An ALE approach to reduce spurious numerical mixing through variational minimizers: application to internal waves","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.ao-ph","physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Andreas Alexandris-Galanopoulos, George Papadakis","submitted_at":"2025-11-25T09:09:01Z","abstract_excerpt":"Spurious numerical mixing is a frequent phenomenon in ocean models. In this paper, we present an efficient and robust methodology that defines the vertical grid motion so that this mixing is reduced. This motion is defined as the solution of an optimization problem that -- using the ideas of the calculus of variations -- results in an elliptic partial differential equation, which is straightforward to analyze and discretize. This framework is generally applicable to any ocean model that uses an Arbitrary Lagrangian-Eulerian (ALE) vertical coordinate and can be tuned to fit the modeler's specif"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.20092","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.20092/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2511.20092","created_at":"2026-05-27T01:05:40.274180+00:00"},{"alias_kind":"arxiv_version","alias_value":"2511.20092v2","created_at":"2026-05-27T01:05:40.274180+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.20092","created_at":"2026-05-27T01:05:40.274180+00:00"},{"alias_kind":"pith_short_12","alias_value":"GZR276GEBBRF","created_at":"2026-05-27T01:05:40.274180+00:00"},{"alias_kind":"pith_short_16","alias_value":"GZR276GEBBRFDHKA","created_at":"2026-05-27T01:05:40.274180+00:00"},{"alias_kind":"pith_short_8","alias_value":"GZR276GE","created_at":"2026-05-27T01:05:40.274180+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GZR276GEBBRFDHKAX47CNS54QB","json":"https://pith.science/pith/GZR276GEBBRFDHKAX47CNS54QB.json","graph_json":"https://pith.science/api/pith-number/GZR276GEBBRFDHKAX47CNS54QB/graph.json","events_json":"https://pith.science/api/pith-number/GZR276GEBBRFDHKAX47CNS54QB/events.json","paper":"https://pith.science/paper/GZR276GE"},"agent_actions":{"view_html":"https://pith.science/pith/GZR276GEBBRFDHKAX47CNS54QB","download_json":"https://pith.science/pith/GZR276GEBBRFDHKAX47CNS54QB.json","view_paper":"https://pith.science/paper/GZR276GE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2511.20092&json=true","fetch_graph":"https://pith.science/api/pith-number/GZR276GEBBRFDHKAX47CNS54QB/graph.json","fetch_events":"https://pith.science/api/pith-number/GZR276GEBBRFDHKAX47CNS54QB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GZR276GEBBRFDHKAX47CNS54QB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GZR276GEBBRFDHKAX47CNS54QB/action/storage_attestation","attest_author":"https://pith.science/pith/GZR276GEBBRFDHKAX47CNS54QB/action/author_attestation","sign_citation":"https://pith.science/pith/GZR276GEBBRFDHKAX47CNS54QB/action/citation_signature","submit_replication":"https://pith.science/pith/GZR276GEBBRFDHKAX47CNS54QB/action/replication_record"}},"created_at":"2026-05-27T01:05:40.274180+00:00","updated_at":"2026-05-27T01:05:40.274180+00:00"}