{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ESD2HHE43TCAPTLBP4R63SGREF","short_pith_number":"pith:ESD2HHE4","schema_version":"1.0","canonical_sha256":"2487a39c9cdcc407cd617f23edc8d1217dffccb463987fc7c854a377dc85c88a","source":{"kind":"arxiv","id":"1412.8231","version":3},"attestation_state":"computed","paper":{"title":"On the kurtosis of deep-water gravity waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Francesco Fedele","submitted_at":"2014-12-28T23:44:25Z","abstract_excerpt":"In this paper, we revisit Janssen's (2003) formulation for the dynamic excess kurtosis of weakly nonlinear gravity waves at deep water. For narrowband directional spectra, the formulation is given by a sixfold integral that depends upon the Benjamin-Feir index and the parameter $R=\\sigma_{\\theta}^{2}/2\\nu^{2}$, a measure of short-crestedness for the dominant waves with $\\nu$ and $\\sigma_{\\theta}$} denoting spectral bandwidth and angular spreading. Our refinement leads to a new analytical solution for the dynamic kurtosis of narrowband directional waves described with a Gaussian type spectrum. "},"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":"1412.8231","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-12-28T23:44:25Z","cross_cats_sorted":[],"title_canon_sha256":"a9299de74cd250868063f15bd1ce30eb24e428ddf44661fdb9169700797dec14","abstract_canon_sha256":"678ed83836c7695ab56395376ed750f937b386ee7447a55793d19047df447333"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:38.711720Z","signature_b64":"UCC2VD7BCJlz5ahhT81+QIZ2baF9bIpLp9G/+5uYsjnHdc5Qr0NArBruQm8DDCt4UcvhlsYdILuQ6SA24V9RDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2487a39c9cdcc407cd617f23edc8d1217dffccb463987fc7c854a377dc85c88a","last_reissued_at":"2026-05-18T01:10:38.711267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:38.711267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the kurtosis of deep-water gravity waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Francesco Fedele","submitted_at":"2014-12-28T23:44:25Z","abstract_excerpt":"In this paper, we revisit Janssen's (2003) formulation for the dynamic excess kurtosis of weakly nonlinear gravity waves at deep water. For narrowband directional spectra, the formulation is given by a sixfold integral that depends upon the Benjamin-Feir index and the parameter $R=\\sigma_{\\theta}^{2}/2\\nu^{2}$, a measure of short-crestedness for the dominant waves with $\\nu$ and $\\sigma_{\\theta}$} denoting spectral bandwidth and angular spreading. Our refinement leads to a new analytical solution for the dynamic kurtosis of narrowband directional waves described with a Gaussian type spectrum. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8231","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1412.8231","created_at":"2026-05-18T01:10:38.711348+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.8231v3","created_at":"2026-05-18T01:10:38.711348+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8231","created_at":"2026-05-18T01:10:38.711348+00:00"},{"alias_kind":"pith_short_12","alias_value":"ESD2HHE43TCA","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"ESD2HHE43TCAPTLB","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"ESD2HHE4","created_at":"2026-05-18T12:28:28.263976+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.03490","citing_title":"Single-spectrum prediction of kurtosis of water waves in a non-conservative model","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ESD2HHE43TCAPTLBP4R63SGREF","json":"https://pith.science/pith/ESD2HHE43TCAPTLBP4R63SGREF.json","graph_json":"https://pith.science/api/pith-number/ESD2HHE43TCAPTLBP4R63SGREF/graph.json","events_json":"https://pith.science/api/pith-number/ESD2HHE43TCAPTLBP4R63SGREF/events.json","paper":"https://pith.science/paper/ESD2HHE4"},"agent_actions":{"view_html":"https://pith.science/pith/ESD2HHE43TCAPTLBP4R63SGREF","download_json":"https://pith.science/pith/ESD2HHE43TCAPTLBP4R63SGREF.json","view_paper":"https://pith.science/paper/ESD2HHE4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.8231&json=true","fetch_graph":"https://pith.science/api/pith-number/ESD2HHE43TCAPTLBP4R63SGREF/graph.json","fetch_events":"https://pith.science/api/pith-number/ESD2HHE43TCAPTLBP4R63SGREF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ESD2HHE43TCAPTLBP4R63SGREF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ESD2HHE43TCAPTLBP4R63SGREF/action/storage_attestation","attest_author":"https://pith.science/pith/ESD2HHE43TCAPTLBP4R63SGREF/action/author_attestation","sign_citation":"https://pith.science/pith/ESD2HHE43TCAPTLBP4R63SGREF/action/citation_signature","submit_replication":"https://pith.science/pith/ESD2HHE43TCAPTLBP4R63SGREF/action/replication_record"}},"created_at":"2026-05-18T01:10:38.711348+00:00","updated_at":"2026-05-18T01:10:38.711348+00:00"}