{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PFXHUWMUJMDSOFNAEXKUESMXAN","short_pith_number":"pith:PFXHUWMU","schema_version":"1.0","canonical_sha256":"796e7a59944b072715a025d5424997036a0bf063318586f2b087a7ca2bccd318","source":{"kind":"arxiv","id":"1611.09076","version":1},"attestation_state":"computed","paper":{"title":"Dynamics of large-scale quantities in Rayleigh-B\\'enard convection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Abhishek Kumar, Ambrish Pandey, Anando G. Chatterjee, Mahendra K. Verma","submitted_at":"2016-11-28T11:26:20Z","abstract_excerpt":"In this paper we estimate the relative strengths of various terms of the Rayleigh-B\\'enard equations. Based on these estimates and scaling analysis, we derive a general formula for the large-scale velocity, $U$, or the P\\'eclet number that is applicable for arbitrary Rayleigh number $\\mathrm{Ra}$ and Prandtl number $\\mathrm{Pr}$. Our formula fits reasonably well with the earlier simulation and experimental results. Our analysis also shows that the wall-bounded convection has enhanced viscous force compared to free turbulence. We also demonstrate how correlations deviate the Nusselt number scal"},"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":"1611.09076","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-11-28T11:26:20Z","cross_cats_sorted":[],"title_canon_sha256":"ccd4c9d08d3c57ac85b5a4575bd44ac8b33257d531b28c87317b36e193564c71","abstract_canon_sha256":"7d700740324eeef55ce79ada0aff37b5c25cd9ee9609454daa7440e695056982"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:29.276071Z","signature_b64":"GnQP7WKL+vfXCe8Pd687jk0KERy0YuHrrM8w+myUKWxj41UqS8Yym5BPhHdUrwd6K7aAaKV0P10JHyChOA/9Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"796e7a59944b072715a025d5424997036a0bf063318586f2b087a7ca2bccd318","last_reissued_at":"2026-05-18T00:56:29.275484Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:29.275484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics of large-scale quantities in Rayleigh-B\\'enard convection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Abhishek Kumar, Ambrish Pandey, Anando G. Chatterjee, Mahendra K. Verma","submitted_at":"2016-11-28T11:26:20Z","abstract_excerpt":"In this paper we estimate the relative strengths of various terms of the Rayleigh-B\\'enard equations. Based on these estimates and scaling analysis, we derive a general formula for the large-scale velocity, $U$, or the P\\'eclet number that is applicable for arbitrary Rayleigh number $\\mathrm{Ra}$ and Prandtl number $\\mathrm{Pr}$. Our formula fits reasonably well with the earlier simulation and experimental results. Our analysis also shows that the wall-bounded convection has enhanced viscous force compared to free turbulence. We also demonstrate how correlations deviate the Nusselt number scal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09076","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":"1611.09076","created_at":"2026-05-18T00:56:29.275602+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.09076v1","created_at":"2026-05-18T00:56:29.275602+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09076","created_at":"2026-05-18T00:56:29.275602+00:00"},{"alias_kind":"pith_short_12","alias_value":"PFXHUWMUJMDS","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PFXHUWMUJMDSOFNA","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PFXHUWMU","created_at":"2026-05-18T12:30:39.010887+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/PFXHUWMUJMDSOFNAEXKUESMXAN","json":"https://pith.science/pith/PFXHUWMUJMDSOFNAEXKUESMXAN.json","graph_json":"https://pith.science/api/pith-number/PFXHUWMUJMDSOFNAEXKUESMXAN/graph.json","events_json":"https://pith.science/api/pith-number/PFXHUWMUJMDSOFNAEXKUESMXAN/events.json","paper":"https://pith.science/paper/PFXHUWMU"},"agent_actions":{"view_html":"https://pith.science/pith/PFXHUWMUJMDSOFNAEXKUESMXAN","download_json":"https://pith.science/pith/PFXHUWMUJMDSOFNAEXKUESMXAN.json","view_paper":"https://pith.science/paper/PFXHUWMU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.09076&json=true","fetch_graph":"https://pith.science/api/pith-number/PFXHUWMUJMDSOFNAEXKUESMXAN/graph.json","fetch_events":"https://pith.science/api/pith-number/PFXHUWMUJMDSOFNAEXKUESMXAN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PFXHUWMUJMDSOFNAEXKUESMXAN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PFXHUWMUJMDSOFNAEXKUESMXAN/action/storage_attestation","attest_author":"https://pith.science/pith/PFXHUWMUJMDSOFNAEXKUESMXAN/action/author_attestation","sign_citation":"https://pith.science/pith/PFXHUWMUJMDSOFNAEXKUESMXAN/action/citation_signature","submit_replication":"https://pith.science/pith/PFXHUWMUJMDSOFNAEXKUESMXAN/action/replication_record"}},"created_at":"2026-05-18T00:56:29.275602+00:00","updated_at":"2026-05-18T00:56:29.275602+00:00"}