{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:QC6JUOFZVLGSOY5BAFHOEYGPUR","short_pith_number":"pith:QC6JUOFZ","canonical_record":{"source":{"id":"1511.04633","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-11-14T23:05:01Z","cross_cats_sorted":[],"title_canon_sha256":"95a328501f28e2e160d0704a067a350c520a899a23d4d2c3bafd564342d5fed4","abstract_canon_sha256":"76d840b36fa4c1d6d3d4c5a69f3dfc0fef0aac8d79cd5d911cbfdc130c7cb179"},"schema_version":"1.0"},"canonical_sha256":"80bc9a38b9aacd2763a1014ee260cfa46897ca9f85943c94acb0f8ce66c379ec","source":{"kind":"arxiv","id":"1511.04633","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04633","created_at":"2026-05-18T01:22:46Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04633v1","created_at":"2026-05-18T01:22:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04633","created_at":"2026-05-18T01:22:46Z"},{"alias_kind":"pith_short_12","alias_value":"QC6JUOFZVLGS","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QC6JUOFZVLGSOY5B","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QC6JUOFZ","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:QC6JUOFZVLGSOY5BAFHOEYGPUR","target":"record","payload":{"canonical_record":{"source":{"id":"1511.04633","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-11-14T23:05:01Z","cross_cats_sorted":[],"title_canon_sha256":"95a328501f28e2e160d0704a067a350c520a899a23d4d2c3bafd564342d5fed4","abstract_canon_sha256":"76d840b36fa4c1d6d3d4c5a69f3dfc0fef0aac8d79cd5d911cbfdc130c7cb179"},"schema_version":"1.0"},"canonical_sha256":"80bc9a38b9aacd2763a1014ee260cfa46897ca9f85943c94acb0f8ce66c379ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:46.275715Z","signature_b64":"2KTYgQotIG01zEqdftPm2pnF/kdV8u2oLCrlW+RWzUC1N3K52AF5yb1M81W6nQ1amTKBgY67+0D4F8EubX+KBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80bc9a38b9aacd2763a1014ee260cfa46897ca9f85943c94acb0f8ce66c379ec","last_reissued_at":"2026-05-18T01:22:46.275049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:46.275049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.04633","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B4w/o5Zp+29FbW6kjgAcOu50DSZ+AbulEKhNLOUqdJLPkbOvcRu9zrH+vXUV9AQn9QQS+LQrapvbcwLRYpX3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:17:26.849344Z"},"content_sha256":"8610235d3e3e5c6dc6c8ccd4a2c37d4242cb292b07034110931e19f2c5670c43","schema_version":"1.0","event_id":"sha256:8610235d3e3e5c6dc6c8ccd4a2c37d4242cb292b07034110931e19f2c5670c43"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:QC6JUOFZVLGSOY5BAFHOEYGPUR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lattice Boltzmann Method Simulation of 3-D Natural Convection with Double MRT Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Mo Yang, Yuwen Zhang, Zheng Li","submitted_at":"2015-11-14T23:05:01Z","abstract_excerpt":"Multiple-relaxation-time model (MRT) has more advantages than the many others approaches in the Lattice Boltzmann Method (LBM). Three-dimensional double MRT model is proposed for the first time for fluid flow and heat transfer simulation. Three types of cubic natural convection problems are solved with proposed method at various Rayleigh numbers. Two opposite vertical walls on the left and right are kept at different temperatures for all three types, while the remained four walls are either adiabatic or have linear temperature variations. For the first two types of cubic natural convections th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04633","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7hV+fyWiSQ1Fxs1aootf9RoI7LHfSJVbRpoWCpgg1sq6ABWIFaObEB7ZYjqeL4m99NakxV76xYZZz4lu0ZaFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:17:26.849701Z"},"content_sha256":"0a2dbe8a9cc73bd540590112b489ed6dda9b4446adcb4911c77f495f47546c1c","schema_version":"1.0","event_id":"sha256:0a2dbe8a9cc73bd540590112b489ed6dda9b4446adcb4911c77f495f47546c1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QC6JUOFZVLGSOY5BAFHOEYGPUR/bundle.json","state_url":"https://pith.science/pith/QC6JUOFZVLGSOY5BAFHOEYGPUR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QC6JUOFZVLGSOY5BAFHOEYGPUR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T00:17:26Z","links":{"resolver":"https://pith.science/pith/QC6JUOFZVLGSOY5BAFHOEYGPUR","bundle":"https://pith.science/pith/QC6JUOFZVLGSOY5BAFHOEYGPUR/bundle.json","state":"https://pith.science/pith/QC6JUOFZVLGSOY5BAFHOEYGPUR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QC6JUOFZVLGSOY5BAFHOEYGPUR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QC6JUOFZVLGSOY5BAFHOEYGPUR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"76d840b36fa4c1d6d3d4c5a69f3dfc0fef0aac8d79cd5d911cbfdc130c7cb179","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-11-14T23:05:01Z","title_canon_sha256":"95a328501f28e2e160d0704a067a350c520a899a23d4d2c3bafd564342d5fed4"},"schema_version":"1.0","source":{"id":"1511.04633","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04633","created_at":"2026-05-18T01:22:46Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04633v1","created_at":"2026-05-18T01:22:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04633","created_at":"2026-05-18T01:22:46Z"},{"alias_kind":"pith_short_12","alias_value":"QC6JUOFZVLGS","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QC6JUOFZVLGSOY5B","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QC6JUOFZ","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:0a2dbe8a9cc73bd540590112b489ed6dda9b4446adcb4911c77f495f47546c1c","target":"graph","created_at":"2026-05-18T01:22:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Multiple-relaxation-time model (MRT) has more advantages than the many others approaches in the Lattice Boltzmann Method (LBM). Three-dimensional double MRT model is proposed for the first time for fluid flow and heat transfer simulation. Three types of cubic natural convection problems are solved with proposed method at various Rayleigh numbers. Two opposite vertical walls on the left and right are kept at different temperatures for all three types, while the remained four walls are either adiabatic or have linear temperature variations. For the first two types of cubic natural convections th","authors_text":"Mo Yang, Yuwen Zhang, Zheng Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-11-14T23:05:01Z","title":"Lattice Boltzmann Method Simulation of 3-D Natural Convection with Double MRT Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04633","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8610235d3e3e5c6dc6c8ccd4a2c37d4242cb292b07034110931e19f2c5670c43","target":"record","created_at":"2026-05-18T01:22:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"76d840b36fa4c1d6d3d4c5a69f3dfc0fef0aac8d79cd5d911cbfdc130c7cb179","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-11-14T23:05:01Z","title_canon_sha256":"95a328501f28e2e160d0704a067a350c520a899a23d4d2c3bafd564342d5fed4"},"schema_version":"1.0","source":{"id":"1511.04633","kind":"arxiv","version":1}},"canonical_sha256":"80bc9a38b9aacd2763a1014ee260cfa46897ca9f85943c94acb0f8ce66c379ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80bc9a38b9aacd2763a1014ee260cfa46897ca9f85943c94acb0f8ce66c379ec","first_computed_at":"2026-05-18T01:22:46.275049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:46.275049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2KTYgQotIG01zEqdftPm2pnF/kdV8u2oLCrlW+RWzUC1N3K52AF5yb1M81W6nQ1amTKBgY67+0D4F8EubX+KBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:46.275715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.04633","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8610235d3e3e5c6dc6c8ccd4a2c37d4242cb292b07034110931e19f2c5670c43","sha256:0a2dbe8a9cc73bd540590112b489ed6dda9b4446adcb4911c77f495f47546c1c"],"state_sha256":"68a06025f6e70440628cf25d5e501ff81272f577ab2f970bcf343ea6acfe2216"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VM3KBgak2Ubk4SnOCWl61LrGOCmOudYkxLj85LccxclnLyZq//YrOjJ3oB7K9zvhSe2E/uK4sGvfFoPeWqiQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:17:26.851586Z","bundle_sha256":"e600a10c30fc32320acb12a1a002354ad1942a0cffd990c11cd2ea0360ce9953"}}