{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VMAZPJH5NJXFHP2SD5VVAKHDSK","short_pith_number":"pith:VMAZPJH5","schema_version":"1.0","canonical_sha256":"ab0197a4fd6a6e53bf521f6b5028e3929cac35aac1aa22f38cc64f24cdb8ff9d","source":{"kind":"arxiv","id":"1112.5520","version":1},"attestation_state":"computed","paper":{"title":"Fluctuating hydrodynamics and turbulence in a rotating fluid: Universal properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhik Basu, Jayanta K Bhattacharjee","submitted_at":"2011-12-23T06:12:13Z","abstract_excerpt":"We analyze the statistical properties of three-dimensional ($3d$) turbulence in a rotating fluid. To this end we introduce a generating functional to study the statistical properties of the velocity field $\\bf v$. We obtain the master equation from the Navier-Stokes equation in a rotating frame and thence a set of exact hierarchical equations for the velocity structure functions for arbitrary angular velocity $\\mathbf \\Omega$. In particular we obtain the {\\em differential forms} for the analogs of the well-known von Karman-Howarth relation for $3d$ fluid turbulence. We examine their behavior i"},"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":"1112.5520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-23T06:12:13Z","cross_cats_sorted":[],"title_canon_sha256":"4e941e1f1f0ed72eeb227bf67e7a7f50225114c23f2d50f01d03b00926beb7a5","abstract_canon_sha256":"3dc78f37f0aaa370461f936751a44473fd96ac215df637aa8b04d294bc6fea3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:01.056717Z","signature_b64":"wnsSOpi9QHebqGeRyvm/nj8xx5zVfufLSFWFauFGf7kc0KOFZztg+rC1kc3unQw/etHF9FdGfHb47r0i6L4uBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab0197a4fd6a6e53bf521f6b5028e3929cac35aac1aa22f38cc64f24cdb8ff9d","last_reissued_at":"2026-05-18T01:59:01.056102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:01.056102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fluctuating hydrodynamics and turbulence in a rotating fluid: Universal properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abhik Basu, Jayanta K Bhattacharjee","submitted_at":"2011-12-23T06:12:13Z","abstract_excerpt":"We analyze the statistical properties of three-dimensional ($3d$) turbulence in a rotating fluid. To this end we introduce a generating functional to study the statistical properties of the velocity field $\\bf v$. We obtain the master equation from the Navier-Stokes equation in a rotating frame and thence a set of exact hierarchical equations for the velocity structure functions for arbitrary angular velocity $\\mathbf \\Omega$. In particular we obtain the {\\em differential forms} for the analogs of the well-known von Karman-Howarth relation for $3d$ fluid turbulence. We examine their behavior i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5520","kind":"arxiv","version":1},"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":"1112.5520","created_at":"2026-05-18T01:59:01.056182+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.5520v1","created_at":"2026-05-18T01:59:01.056182+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5520","created_at":"2026-05-18T01:59:01.056182+00:00"},{"alias_kind":"pith_short_12","alias_value":"VMAZPJH5NJXF","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"VMAZPJH5NJXFHP2S","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"VMAZPJH5","created_at":"2026-05-18T12:26:44.992195+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/VMAZPJH5NJXFHP2SD5VVAKHDSK","json":"https://pith.science/pith/VMAZPJH5NJXFHP2SD5VVAKHDSK.json","graph_json":"https://pith.science/api/pith-number/VMAZPJH5NJXFHP2SD5VVAKHDSK/graph.json","events_json":"https://pith.science/api/pith-number/VMAZPJH5NJXFHP2SD5VVAKHDSK/events.json","paper":"https://pith.science/paper/VMAZPJH5"},"agent_actions":{"view_html":"https://pith.science/pith/VMAZPJH5NJXFHP2SD5VVAKHDSK","download_json":"https://pith.science/pith/VMAZPJH5NJXFHP2SD5VVAKHDSK.json","view_paper":"https://pith.science/paper/VMAZPJH5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.5520&json=true","fetch_graph":"https://pith.science/api/pith-number/VMAZPJH5NJXFHP2SD5VVAKHDSK/graph.json","fetch_events":"https://pith.science/api/pith-number/VMAZPJH5NJXFHP2SD5VVAKHDSK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VMAZPJH5NJXFHP2SD5VVAKHDSK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VMAZPJH5NJXFHP2SD5VVAKHDSK/action/storage_attestation","attest_author":"https://pith.science/pith/VMAZPJH5NJXFHP2SD5VVAKHDSK/action/author_attestation","sign_citation":"https://pith.science/pith/VMAZPJH5NJXFHP2SD5VVAKHDSK/action/citation_signature","submit_replication":"https://pith.science/pith/VMAZPJH5NJXFHP2SD5VVAKHDSK/action/replication_record"}},"created_at":"2026-05-18T01:59:01.056182+00:00","updated_at":"2026-05-18T01:59:01.056182+00:00"}