{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CLFPJV72KOOKO5TCSX3XPPXV3K","short_pith_number":"pith:CLFPJV72","canonical_record":{"source":{"id":"1004.3239","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-04-19T16:07:39Z","cross_cats_sorted":[],"title_canon_sha256":"04503148426c1695eddb945214a61e5235655e2874dd433a24723af2088a57ac","abstract_canon_sha256":"f75867b85a9d45042e8c66b978f9528ac29fa8ce701552682ea126018616afca"},"schema_version":"1.0"},"canonical_sha256":"12caf4d7fa539ca7766295f777bef5dab8f75bd209a9b5fc8c61e15e11254463","source":{"kind":"arxiv","id":"1004.3239","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3239","created_at":"2026-05-18T02:07:56Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3239v1","created_at":"2026-05-18T02:07:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3239","created_at":"2026-05-18T02:07:56Z"},{"alias_kind":"pith_short_12","alias_value":"CLFPJV72KOOK","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CLFPJV72KOOKO5TC","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CLFPJV72","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CLFPJV72KOOKO5TCSX3XPPXV3K","target":"record","payload":{"canonical_record":{"source":{"id":"1004.3239","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-04-19T16:07:39Z","cross_cats_sorted":[],"title_canon_sha256":"04503148426c1695eddb945214a61e5235655e2874dd433a24723af2088a57ac","abstract_canon_sha256":"f75867b85a9d45042e8c66b978f9528ac29fa8ce701552682ea126018616afca"},"schema_version":"1.0"},"canonical_sha256":"12caf4d7fa539ca7766295f777bef5dab8f75bd209a9b5fc8c61e15e11254463","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:56.730119Z","signature_b64":"0qHDTVhTPg9dNU+25/ixyEQI8yCGeNrdTpcozxIjqgTN/H7vpTkbicU5J6sObxT6YMxhbHNMJOdRYkCogx29DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12caf4d7fa539ca7766295f777bef5dab8f75bd209a9b5fc8c61e15e11254463","last_reissued_at":"2026-05-18T02:07:56.729356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:56.729356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.3239","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":"2026-05-18T02:07:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KnOvkDWfLdW6bIK6aoPHnvYvmJJ97h0cQvw8e+efWlacanI6gfy1W2pYAEn3Ml4seDppAnA/jizePzQhJqmQCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:32:57.299910Z"},"content_sha256":"e19eb123c3a5ca54efc182f9f1b1cc2fd4e66442bc5ce0072243bcebd50bd53d","schema_version":"1.0","event_id":"sha256:e19eb123c3a5ca54efc182f9f1b1cc2fd4e66442bc5ce0072243bcebd50bd53d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CLFPJV72KOOKO5TCSX3XPPXV3K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A model of the entropy flux and Reynolds stress in turbulent convection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Gordon I. Ogilvie, Neil Miller, Pascale Garaud, Stephan Stellmach","submitted_at":"2010-04-19T16:07:39Z","abstract_excerpt":"We propose a closure model for the transport of entropy and momentum in astrophysical turbulence, intended for application to rotating stellar convective regions. Our closure model is first presented in the Boussinesq formalism, and compared with laboratory and numerical experimental results on Rayleigh-Benard convection and Homogeneous Rayleigh-Benard convection. The predicted angular momentum transport properties of the turbulence in the slowly rotating case recover the well-known Lambda-effect, with an amplitude uniquely related to the convective heat flux. The model is then extended to the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3239","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":"2026-05-18T02:07:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W8Iw1Lq/5Rt/ZhuiRloxt2/AArH8H82sxOWT0pLiAzp+27uxMS0V8TX08WrbJ1s0f6EZDKwT2T2L07TM3+mKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:32:57.300574Z"},"content_sha256":"ff0e49a319073f0ad0d41b7db135811b2566f899c5ef7770e7117cc4696a4fd4","schema_version":"1.0","event_id":"sha256:ff0e49a319073f0ad0d41b7db135811b2566f899c5ef7770e7117cc4696a4fd4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CLFPJV72KOOKO5TCSX3XPPXV3K/bundle.json","state_url":"https://pith.science/pith/CLFPJV72KOOKO5TCSX3XPPXV3K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CLFPJV72KOOKO5TCSX3XPPXV3K/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":"2026-05-27T10:32:57Z","links":{"resolver":"https://pith.science/pith/CLFPJV72KOOKO5TCSX3XPPXV3K","bundle":"https://pith.science/pith/CLFPJV72KOOKO5TCSX3XPPXV3K/bundle.json","state":"https://pith.science/pith/CLFPJV72KOOKO5TCSX3XPPXV3K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CLFPJV72KOOKO5TCSX3XPPXV3K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CLFPJV72KOOKO5TCSX3XPPXV3K","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":"f75867b85a9d45042e8c66b978f9528ac29fa8ce701552682ea126018616afca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-04-19T16:07:39Z","title_canon_sha256":"04503148426c1695eddb945214a61e5235655e2874dd433a24723af2088a57ac"},"schema_version":"1.0","source":{"id":"1004.3239","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3239","created_at":"2026-05-18T02:07:56Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3239v1","created_at":"2026-05-18T02:07:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3239","created_at":"2026-05-18T02:07:56Z"},{"alias_kind":"pith_short_12","alias_value":"CLFPJV72KOOK","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CLFPJV72KOOKO5TC","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CLFPJV72","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:ff0e49a319073f0ad0d41b7db135811b2566f899c5ef7770e7117cc4696a4fd4","target":"graph","created_at":"2026-05-18T02:07:56Z","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 propose a closure model for the transport of entropy and momentum in astrophysical turbulence, intended for application to rotating stellar convective regions. Our closure model is first presented in the Boussinesq formalism, and compared with laboratory and numerical experimental results on Rayleigh-Benard convection and Homogeneous Rayleigh-Benard convection. The predicted angular momentum transport properties of the turbulence in the slowly rotating case recover the well-known Lambda-effect, with an amplitude uniquely related to the convective heat flux. The model is then extended to the","authors_text":"Gordon I. Ogilvie, Neil Miller, Pascale Garaud, Stephan Stellmach","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-04-19T16:07:39Z","title":"A model of the entropy flux and Reynolds stress in turbulent convection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3239","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:e19eb123c3a5ca54efc182f9f1b1cc2fd4e66442bc5ce0072243bcebd50bd53d","target":"record","created_at":"2026-05-18T02:07:56Z","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":"f75867b85a9d45042e8c66b978f9528ac29fa8ce701552682ea126018616afca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2010-04-19T16:07:39Z","title_canon_sha256":"04503148426c1695eddb945214a61e5235655e2874dd433a24723af2088a57ac"},"schema_version":"1.0","source":{"id":"1004.3239","kind":"arxiv","version":1}},"canonical_sha256":"12caf4d7fa539ca7766295f777bef5dab8f75bd209a9b5fc8c61e15e11254463","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12caf4d7fa539ca7766295f777bef5dab8f75bd209a9b5fc8c61e15e11254463","first_computed_at":"2026-05-18T02:07:56.729356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:56.729356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0qHDTVhTPg9dNU+25/ixyEQI8yCGeNrdTpcozxIjqgTN/H7vpTkbicU5J6sObxT6YMxhbHNMJOdRYkCogx29DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:56.730119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.3239","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e19eb123c3a5ca54efc182f9f1b1cc2fd4e66442bc5ce0072243bcebd50bd53d","sha256:ff0e49a319073f0ad0d41b7db135811b2566f899c5ef7770e7117cc4696a4fd4"],"state_sha256":"c52ce608d930095ba71f95b4aa6ea1fe5ed0a2f481dc9923195e028d35fa8aad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LK7IUuRt8ynjcU7X5+R4uzyKhQdmMA8MKpp/sEUH4ugKIRtclY8FR0b+WbqbUZxHmaesRLbIt1HvFQsd9oiwBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T10:32:57.303956Z","bundle_sha256":"839db2e2453d9edf347a503761f0fd043a0a0d34c01a5d46a9b032da7598b9fc"}}