{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:WWGIY7XQ53RWQTNQYBWANCCXIY","short_pith_number":"pith:WWGIY7XQ","schema_version":"1.0","canonical_sha256":"b58c8c7ef0eee3684db0c06c068857463cf6ce147f71a53042cd1579cf7e2288","source":{"kind":"arxiv","id":"physics/0601198","version":1},"attestation_state":"computed","paper":{"title":"Anisotropy, inhomogeneity and inertial range scalings in turbulent convection","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Cambridge), DAMTP, Francois Rincon (LATT, Toulouse","submitted_at":"2006-01-25T14:42:26Z","abstract_excerpt":"This paper provides a detailed study of scale-by-scale budgets in turbulent Rayleigh-B\\'enard convection and aims at testing the applicability of Kolmogorov (1941) and Bolgiano (1959) theories for this flow. Particular emphasis is laid on anisotropic and inhomogeneous effects: the SO(3) decomposition of structure functions (Arad et al 1999) and a method of description of inhomogeneities proposed by Danaila et al (2001) are used to derive inhomogeneous and anisotropic generalizations of Kolmogorov and Yaglom equations applying to RB convection. The various terms in these equations are computed "},"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":"physics/0601198","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.flu-dyn","submitted_at":"2006-01-25T14:42:26Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"47fa3c9770ed519c10f35fd5bacec41205c092f835956e3000dd565ff192ea45","abstract_canon_sha256":"d0a473fb69c285a1c51c67fbfcd7a46afa7b6ab3c2b223a888e5bd0037966e93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:02:24.313222Z","signature_b64":"BNBkI0cCSqIGBj3RpJwa5ej9b0XgBRoGAh4XNljpdKrjNnilHn11kYK46ZpsexUsU/6jzX5HE4hXmfTbXM/qAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b58c8c7ef0eee3684db0c06c068857463cf6ce147f71a53042cd1579cf7e2288","last_reissued_at":"2026-07-04T17:02:24.312830Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:02:24.312830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anisotropy, inhomogeneity and inertial range scalings in turbulent convection","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Cambridge), DAMTP, Francois Rincon (LATT, Toulouse","submitted_at":"2006-01-25T14:42:26Z","abstract_excerpt":"This paper provides a detailed study of scale-by-scale budgets in turbulent Rayleigh-B\\'enard convection and aims at testing the applicability of Kolmogorov (1941) and Bolgiano (1959) theories for this flow. Particular emphasis is laid on anisotropic and inhomogeneous effects: the SO(3) decomposition of structure functions (Arad et al 1999) and a method of description of inhomogeneities proposed by Danaila et al (2001) are used to derive inhomogeneous and anisotropic generalizations of Kolmogorov and Yaglom equations applying to RB convection. The various terms in these equations are computed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0601198","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/physics/0601198/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":"physics/0601198","created_at":"2026-07-04T17:02:24.312897+00:00"},{"alias_kind":"arxiv_version","alias_value":"physics/0601198v1","created_at":"2026-07-04T17:02:24.312897+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0601198","created_at":"2026-07-04T17:02:24.312897+00:00"},{"alias_kind":"pith_short_12","alias_value":"WWGIY7XQ53RW","created_at":"2026-07-04T17:02:24.312897+00:00"},{"alias_kind":"pith_short_16","alias_value":"WWGIY7XQ53RWQTNQ","created_at":"2026-07-04T17:02:24.312897+00:00"},{"alias_kind":"pith_short_8","alias_value":"WWGIY7XQ","created_at":"2026-07-04T17:02:24.312897+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/WWGIY7XQ53RWQTNQYBWANCCXIY","json":"https://pith.science/pith/WWGIY7XQ53RWQTNQYBWANCCXIY.json","graph_json":"https://pith.science/api/pith-number/WWGIY7XQ53RWQTNQYBWANCCXIY/graph.json","events_json":"https://pith.science/api/pith-number/WWGIY7XQ53RWQTNQYBWANCCXIY/events.json","paper":"https://pith.science/paper/WWGIY7XQ"},"agent_actions":{"view_html":"https://pith.science/pith/WWGIY7XQ53RWQTNQYBWANCCXIY","download_json":"https://pith.science/pith/WWGIY7XQ53RWQTNQYBWANCCXIY.json","view_paper":"https://pith.science/paper/WWGIY7XQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=physics/0601198&json=true","fetch_graph":"https://pith.science/api/pith-number/WWGIY7XQ53RWQTNQYBWANCCXIY/graph.json","fetch_events":"https://pith.science/api/pith-number/WWGIY7XQ53RWQTNQYBWANCCXIY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WWGIY7XQ53RWQTNQYBWANCCXIY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WWGIY7XQ53RWQTNQYBWANCCXIY/action/storage_attestation","attest_author":"https://pith.science/pith/WWGIY7XQ53RWQTNQYBWANCCXIY/action/author_attestation","sign_citation":"https://pith.science/pith/WWGIY7XQ53RWQTNQYBWANCCXIY/action/citation_signature","submit_replication":"https://pith.science/pith/WWGIY7XQ53RWQTNQYBWANCCXIY/action/replication_record"}},"created_at":"2026-07-04T17:02:24.312897+00:00","updated_at":"2026-07-04T17:02:24.312897+00:00"}