{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:33ZOV2NWQTRMYYYI3UG7WSE6PW","short_pith_number":"pith:33ZOV2NW","schema_version":"1.0","canonical_sha256":"def2eae9b684e2cc6308dd0dfb489e7db786d11062daef917b7f664c558609c8","source":{"kind":"arxiv","id":"2510.15159","version":4},"attestation_state":"computed","paper":{"title":"Rogue waves and large deviations for 2D pure gravity deep water waves","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"Alberto Maspero, Gigliola Staffilani, Massimiliano Berti, Ricardo Grande","submitted_at":"2025-10-16T21:39:25Z","abstract_excerpt":"Rogue waves are extreme ocean events characterized by the sudden formation of anomalously large crests, and remain an important subject of investigation in oceanography and mathematics. A central problem is to quantify the probability of their formation under random Gaussian sea initial data. In this work, we rigorously characterize the tail-probability for the formation of rogue waves of the pure gravity water wave equations in deep water, the most accurate quasilinear PDE modeling waves in open ocean. This large deviation result rigorously proves various conjectures from the oceanography lit"},"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":"2510.15159","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-10-16T21:39:25Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"6b91bf830ff6912714df9bac0c580560f0d19199f4681c9b5ab5c42dc1cd3e89","abstract_canon_sha256":"ebd722007ae4cd55a82b6991d7db38fab3b611606aa21cab126db0ae36353501"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"def2eae9b684e2cc6308dd0dfb489e7db786d11062daef917b7f664c558609c8","last_reissued_at":"2026-07-30T01:19:13.984430Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-30T01:19:13.984430Z"},"graph_snapshot":{"paper":{"title":"Rogue waves and large deviations for 2D pure gravity deep water waves","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"Alberto Maspero, Gigliola Staffilani, Massimiliano Berti, Ricardo Grande","submitted_at":"2025-10-16T21:39:25Z","abstract_excerpt":"Rogue waves are extreme ocean events characterized by the sudden formation of anomalously large crests, and remain an important subject of investigation in oceanography and mathematics. A central problem is to quantify the probability of their formation under random Gaussian sea initial data. In this work, we rigorously characterize the tail-probability for the formation of rogue waves of the pure gravity water wave equations in deep water, the most accurate quasilinear PDE modeling waves in open ocean. This large deviation result rigorously proves various conjectures from the oceanography lit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.15159","kind":"arxiv","version":4},"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/2510.15159/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":"2510.15159","created_at":"2026-07-30T01:19:13.989739+00:00"},{"alias_kind":"arxiv_version","alias_value":"2510.15159v4","created_at":"2026-07-30T01:19:13.989739+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.15159","created_at":"2026-07-30T01:19:13.989739+00:00"},{"alias_kind":"pith_short_12","alias_value":"33ZOV2NWQTRM","created_at":"2026-07-30T01:19:13.989739+00:00"},{"alias_kind":"pith_short_16","alias_value":"33ZOV2NWQTRMYYYI","created_at":"2026-07-30T01:19:13.989739+00:00"},{"alias_kind":"pith_short_8","alias_value":"33ZOV2NW","created_at":"2026-07-30T01:19:13.989739+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.09657","citing_title":"Benjamin-Feir spectrum of hydroelastic Stokes waves","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2605.00484","citing_title":"Almost global large deviations principle for the KdV equation","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/33ZOV2NWQTRMYYYI3UG7WSE6PW","json":"https://pith.science/pith/33ZOV2NWQTRMYYYI3UG7WSE6PW.json","graph_json":"https://pith.science/api/pith-number/33ZOV2NWQTRMYYYI3UG7WSE6PW/graph.json","events_json":"https://pith.science/api/pith-number/33ZOV2NWQTRMYYYI3UG7WSE6PW/events.json","paper":"https://pith.science/paper/33ZOV2NW"},"agent_actions":{"view_html":"https://pith.science/pith/33ZOV2NWQTRMYYYI3UG7WSE6PW","download_json":"https://pith.science/pith/33ZOV2NWQTRMYYYI3UG7WSE6PW.json","view_paper":"https://pith.science/paper/33ZOV2NW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2510.15159&json=true","fetch_graph":"https://pith.science/api/pith-number/33ZOV2NWQTRMYYYI3UG7WSE6PW/graph.json","fetch_events":"https://pith.science/api/pith-number/33ZOV2NWQTRMYYYI3UG7WSE6PW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/33ZOV2NWQTRMYYYI3UG7WSE6PW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/33ZOV2NWQTRMYYYI3UG7WSE6PW/action/storage_attestation","attest_author":"https://pith.science/pith/33ZOV2NWQTRMYYYI3UG7WSE6PW/action/author_attestation","sign_citation":"https://pith.science/pith/33ZOV2NWQTRMYYYI3UG7WSE6PW/action/citation_signature","submit_replication":"https://pith.science/pith/33ZOV2NWQTRMYYYI3UG7WSE6PW/action/replication_record"}},"created_at":"2026-07-30T01:19:13.989739+00:00","updated_at":"2026-07-30T01:19:13.989739+00:00"}