{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:YFNI6ECVPW2A2BU6EW6XGNL5WT","short_pith_number":"pith:YFNI6ECV","schema_version":"1.0","canonical_sha256":"c15a8f10557db40d069e25bd73357db4f9161b045f28aa615db355407db4f16e","source":{"kind":"arxiv","id":"comp-gas/9612001","version":1},"attestation_state":"computed","paper":{"title":"Simulation of Rayleigh-B\\'enard convection using lattice Boltzmann method","license":"","headline":"","cross_cats":["nlin.CG"],"primary_cat":"comp-gas","authors_text":"(Complex Systems Group, Los Alamos National Lab), Xiaowen Shan","submitted_at":"1996-12-09T23:05:33Z","abstract_excerpt":"Rayleigh-B\\'enard convection is numerically simulated in two- and three-dimensions using a recently developed two-component lattice Boltzmann equation (LBE) method. The density field of the second component, which evolves according to the advection-diffusion equation of a passive-scalar, is used to simulate the temperature field. A body force proportional to the temperature is applied, and the system satisfies the Boussinesq equation except for a slight compressibility. A no-slip, isothermal boundary condition is imposed in the vertical direction, and periodic boundary conditions are used in h"},"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":"comp-gas/9612001","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"comp-gas","submitted_at":"1996-12-09T23:05:33Z","cross_cats_sorted":["nlin.CG"],"title_canon_sha256":"fcafd615a87282603bb46e1011c9ecc5b7cf3877885cf66e34c3193ac8cb92ad","abstract_canon_sha256":"a1ee74c7b589729695243328845f37c0614de9310efbb6375e668372209e2bad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:23.694623Z","signature_b64":"V4mRPeCRourUAaLiAQOzzXQc1zmnl4Qe6tFPjVf+f+U3WhCmR4G2UgCPr05HXzxMKKVbvyVhCi2bgT2b9EI1Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c15a8f10557db40d069e25bd73357db4f9161b045f28aa615db355407db4f16e","last_reissued_at":"2026-05-18T01:07:23.694196Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:23.694196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simulation of Rayleigh-B\\'enard convection using lattice Boltzmann method","license":"","headline":"","cross_cats":["nlin.CG"],"primary_cat":"comp-gas","authors_text":"(Complex Systems Group, Los Alamos National Lab), Xiaowen Shan","submitted_at":"1996-12-09T23:05:33Z","abstract_excerpt":"Rayleigh-B\\'enard convection is numerically simulated in two- and three-dimensions using a recently developed two-component lattice Boltzmann equation (LBE) method. The density field of the second component, which evolves according to the advection-diffusion equation of a passive-scalar, is used to simulate the temperature field. A body force proportional to the temperature is applied, and the system satisfies the Boussinesq equation except for a slight compressibility. A no-slip, isothermal boundary condition is imposed in the vertical direction, and periodic boundary conditions are used in h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"comp-gas/9612001","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":"comp-gas/9612001","created_at":"2026-05-18T01:07:23.694266+00:00"},{"alias_kind":"arxiv_version","alias_value":"comp-gas/9612001v1","created_at":"2026-05-18T01:07:23.694266+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.comp-gas/9612001","created_at":"2026-05-18T01:07:23.694266+00:00"},{"alias_kind":"pith_short_12","alias_value":"YFNI6ECVPW2A","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"YFNI6ECVPW2A2BU6","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"YFNI6ECV","created_at":"2026-05-18T12:25:48.327863+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.14505","citing_title":"Systematic Evaluation of Stencil Configuration, Forcing Scheme, and Resolution Effects in the Stratified Taylor--Green Vortex: A Lattice Boltzmann Study","ref_index":14,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YFNI6ECVPW2A2BU6EW6XGNL5WT","json":"https://pith.science/pith/YFNI6ECVPW2A2BU6EW6XGNL5WT.json","graph_json":"https://pith.science/api/pith-number/YFNI6ECVPW2A2BU6EW6XGNL5WT/graph.json","events_json":"https://pith.science/api/pith-number/YFNI6ECVPW2A2BU6EW6XGNL5WT/events.json","paper":"https://pith.science/paper/YFNI6ECV"},"agent_actions":{"view_html":"https://pith.science/pith/YFNI6ECVPW2A2BU6EW6XGNL5WT","download_json":"https://pith.science/pith/YFNI6ECVPW2A2BU6EW6XGNL5WT.json","view_paper":"https://pith.science/paper/YFNI6ECV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=comp-gas/9612001&json=true","fetch_graph":"https://pith.science/api/pith-number/YFNI6ECVPW2A2BU6EW6XGNL5WT/graph.json","fetch_events":"https://pith.science/api/pith-number/YFNI6ECVPW2A2BU6EW6XGNL5WT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YFNI6ECVPW2A2BU6EW6XGNL5WT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YFNI6ECVPW2A2BU6EW6XGNL5WT/action/storage_attestation","attest_author":"https://pith.science/pith/YFNI6ECVPW2A2BU6EW6XGNL5WT/action/author_attestation","sign_citation":"https://pith.science/pith/YFNI6ECVPW2A2BU6EW6XGNL5WT/action/citation_signature","submit_replication":"https://pith.science/pith/YFNI6ECVPW2A2BU6EW6XGNL5WT/action/replication_record"}},"created_at":"2026-05-18T01:07:23.694266+00:00","updated_at":"2026-05-18T01:07:23.694266+00:00"}