{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YU4TT3NWDQF5PQJQQGCC364KHH","short_pith_number":"pith:YU4TT3NW","canonical_record":{"source":{"id":"1109.6871","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T15:59:16Z","cross_cats_sorted":[],"title_canon_sha256":"cbb2816b0101f7a7db3b28c679b740e7cec033e36648fe581d385b88c45328ba","abstract_canon_sha256":"fa057dac3b813dc8912c607e593c44f8c813f5bcfef123a8262dcd459517609b"},"schema_version":"1.0"},"canonical_sha256":"c53939edb61c0bd7c13081842dfb8a39c6e51c48aae455a153a47a81414052e8","source":{"kind":"arxiv","id":"1109.6871","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6871","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6871v1","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6871","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"pith_short_12","alias_value":"YU4TT3NWDQF5","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YU4TT3NWDQF5PQJQ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YU4TT3NW","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YU4TT3NWDQF5PQJQQGCC364KHH","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6871","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T15:59:16Z","cross_cats_sorted":[],"title_canon_sha256":"cbb2816b0101f7a7db3b28c679b740e7cec033e36648fe581d385b88c45328ba","abstract_canon_sha256":"fa057dac3b813dc8912c607e593c44f8c813f5bcfef123a8262dcd459517609b"},"schema_version":"1.0"},"canonical_sha256":"c53939edb61c0bd7c13081842dfb8a39c6e51c48aae455a153a47a81414052e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:14.435628Z","signature_b64":"fbuoRLIrBk4Mqf9BbwRUpm5szg8KLE08owm3KNqripej0YcagbWnBmkvBr8z8zZhj8hYStR1dy1IGH8JzteyDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c53939edb61c0bd7c13081842dfb8a39c6e51c48aae455a153a47a81414052e8","last_reissued_at":"2026-05-18T03:40:14.435040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:14.435040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6871","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":"2026-05-18T03:40:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TakXIpyJzC7vCsztvrZrSg76IBxnOrllrCwi3UD1kFD2+l1zFeOmN6VHkFEEU1cpZiJ8dhUJUVPgMlYcAfj/Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T19:25:11.243907Z"},"content_sha256":"98f943e469d2b3982618e8db0393b16fbe882f05d2dbdd19784eebaf6fff4809","schema_version":"1.0","event_id":"sha256:98f943e469d2b3982618e8db0393b16fbe882f05d2dbdd19784eebaf6fff4809"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YU4TT3NWDQF5PQJQQGCC364KHH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Horizontal Structures of Velocity and Temperature Boundary Layers in 2D Numerical Turbulent Rayleigh-B\\'{e}nard Convection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Detlef Lohse, Kazuyasu Sugiyama, Ke-Qing Xia, Quan Zhou, Richard J. A. M. Stevens, Siegfried Grossmann","submitted_at":"2011-09-30T15:59:16Z","abstract_excerpt":"We investigate the structures of the near-plate velocity and temperature profiles at different horizontal positions along the conducting bottom (and top) plate of a Rayleigh-B\\'{e}nard convection cell, using two-dimensional (2D) numerical data obtained at the Rayleigh number Ra=10^8 and the Prandtl number Pr=4.4 of an Oberbeck-Boussinesq flow with constant material parameters. The results show that most of the time, and for both velocity and temperature, the instantaneous profiles scaled by the dynamical frame method [Q. Zhou and K.-Q. Xia, Phys. Rev. Lett. 104, 104301 (2010) agree well with t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6871","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":"2026-05-18T03:40:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7vkRUCouVhX/9K6byKiEPk1llNm0WkwhwyLxN3LOhRyHILp4QpktTdzcvLnG/zyaoS73fibM0kkuZ0zC4vbzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T19:25:11.244250Z"},"content_sha256":"acfcd8b445be06e257292d32ea69b3570ad2a38c4bbcf624d31bc018b57d59c3","schema_version":"1.0","event_id":"sha256:acfcd8b445be06e257292d32ea69b3570ad2a38c4bbcf624d31bc018b57d59c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YU4TT3NWDQF5PQJQQGCC364KHH/bundle.json","state_url":"https://pith.science/pith/YU4TT3NWDQF5PQJQQGCC364KHH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YU4TT3NWDQF5PQJQQGCC364KHH/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":"2026-05-19T19:25:11Z","links":{"resolver":"https://pith.science/pith/YU4TT3NWDQF5PQJQQGCC364KHH","bundle":"https://pith.science/pith/YU4TT3NWDQF5PQJQQGCC364KHH/bundle.json","state":"https://pith.science/pith/YU4TT3NWDQF5PQJQQGCC364KHH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YU4TT3NWDQF5PQJQQGCC364KHH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YU4TT3NWDQF5PQJQQGCC364KHH","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":"fa057dac3b813dc8912c607e593c44f8c813f5bcfef123a8262dcd459517609b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T15:59:16Z","title_canon_sha256":"cbb2816b0101f7a7db3b28c679b740e7cec033e36648fe581d385b88c45328ba"},"schema_version":"1.0","source":{"id":"1109.6871","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6871","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6871v1","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6871","created_at":"2026-05-18T03:40:14Z"},{"alias_kind":"pith_short_12","alias_value":"YU4TT3NWDQF5","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YU4TT3NWDQF5PQJQ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YU4TT3NW","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:acfcd8b445be06e257292d32ea69b3570ad2a38c4bbcf624d31bc018b57d59c3","target":"graph","created_at":"2026-05-18T03:40:14Z","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":"We investigate the structures of the near-plate velocity and temperature profiles at different horizontal positions along the conducting bottom (and top) plate of a Rayleigh-B\\'{e}nard convection cell, using two-dimensional (2D) numerical data obtained at the Rayleigh number Ra=10^8 and the Prandtl number Pr=4.4 of an Oberbeck-Boussinesq flow with constant material parameters. The results show that most of the time, and for both velocity and temperature, the instantaneous profiles scaled by the dynamical frame method [Q. Zhou and K.-Q. Xia, Phys. Rev. Lett. 104, 104301 (2010) agree well with t","authors_text":"Detlef Lohse, Kazuyasu Sugiyama, Ke-Qing Xia, Quan Zhou, Richard J. A. M. Stevens, Siegfried Grossmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T15:59:16Z","title":"Horizontal Structures of Velocity and Temperature Boundary Layers in 2D Numerical Turbulent Rayleigh-B\\'{e}nard Convection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6871","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":"sha256:98f943e469d2b3982618e8db0393b16fbe882f05d2dbdd19784eebaf6fff4809","target":"record","created_at":"2026-05-18T03:40:14Z","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":"fa057dac3b813dc8912c607e593c44f8c813f5bcfef123a8262dcd459517609b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T15:59:16Z","title_canon_sha256":"cbb2816b0101f7a7db3b28c679b740e7cec033e36648fe581d385b88c45328ba"},"schema_version":"1.0","source":{"id":"1109.6871","kind":"arxiv","version":1}},"canonical_sha256":"c53939edb61c0bd7c13081842dfb8a39c6e51c48aae455a153a47a81414052e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c53939edb61c0bd7c13081842dfb8a39c6e51c48aae455a153a47a81414052e8","first_computed_at":"2026-05-18T03:40:14.435040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:14.435040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fbuoRLIrBk4Mqf9BbwRUpm5szg8KLE08owm3KNqripej0YcagbWnBmkvBr8z8zZhj8hYStR1dy1IGH8JzteyDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:14.435628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6871","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98f943e469d2b3982618e8db0393b16fbe882f05d2dbdd19784eebaf6fff4809","sha256:acfcd8b445be06e257292d32ea69b3570ad2a38c4bbcf624d31bc018b57d59c3"],"state_sha256":"bf357fc4fd42fe006d6078ec62f40bc3a78a6f7225c7e4679c5ae4b7d0e69271"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a7MwN+OyhJD5oLfiKWypkD7H6+Y0F4VcMF9Z6LxP+JTaNZ4IWibs2/OQjGDHjNOYeVlGMfQSPEAMXQ80PC9oDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T19:25:11.246293Z","bundle_sha256":"44bd207553e4476c4b9756bb92bce0a525c4102e77f7e3be20d544db8bdeb01c"}}