{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:GM476WB77Q5CTYRS7F3HTTTQVJ","short_pith_number":"pith:GM476WB7","schema_version":"1.0","canonical_sha256":"3339ff583ffc3a29e232f97679ce70aa7c54efad3e04fb254fd11a1f1a071c66","source":{"kind":"arxiv","id":"0802.3224","version":3},"attestation_state":"computed","paper":{"title":"Black Hole Dynamics From Atmospheric Science","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Mark Van Raamsdonk","submitted_at":"2008-02-22T18:18:33Z","abstract_excerpt":"In this note, we derive (to third order in derivatives of the fluid velocity) a 2+1 dimensional theory of fluid dynamics that governs the evolution of generic long-wavelength perturbations of a black brane or large black hole in four-dimensional gravity with negative cosmological constant, applying a systematic procedure developed recently by Bhattacharyya, Hubeny, Minwalla, and Rangamani. In the regime of validity of the fluid-dynamical description, the black-brane evolution will generically correspond to a turbulent flow. Turbulence in 2+1 dimensions has been well studied analytically, numer"},"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":"0802.3224","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-02-22T18:18:33Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3c2d9b0bd77d2aa29571fbcc0f0207c91f945a85ee49fbc1d4aa5758009af9c0","abstract_canon_sha256":"dfeb2c49eb463b284f0acd83bfa3193aa47e49126d98922447365d0b3206e1ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:17:40.946808Z","signature_b64":"OgqUQkf+BWB5E0l1oSpvZ7hat38GY7ukv4ZcKHgIaLMD4UebSj+XmHnTTs8TFUQGVeAVcyfUD9saEZCK4zPDDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3339ff583ffc3a29e232f97679ce70aa7c54efad3e04fb254fd11a1f1a071c66","last_reissued_at":"2026-07-04T17:17:40.946467Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:17:40.946467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Black Hole Dynamics From Atmospheric Science","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Mark Van Raamsdonk","submitted_at":"2008-02-22T18:18:33Z","abstract_excerpt":"In this note, we derive (to third order in derivatives of the fluid velocity) a 2+1 dimensional theory of fluid dynamics that governs the evolution of generic long-wavelength perturbations of a black brane or large black hole in four-dimensional gravity with negative cosmological constant, applying a systematic procedure developed recently by Bhattacharyya, Hubeny, Minwalla, and Rangamani. In the regime of validity of the fluid-dynamical description, the black-brane evolution will generically correspond to a turbulent flow. Turbulence in 2+1 dimensions has been well studied analytically, numer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.3224","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0802.3224/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"0802.3224","created_at":"2026-07-04T17:17:40.946525+00:00"},{"alias_kind":"arxiv_version","alias_value":"0802.3224v3","created_at":"2026-07-04T17:17:40.946525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.3224","created_at":"2026-07-04T17:17:40.946525+00:00"},{"alias_kind":"pith_short_12","alias_value":"GM476WB77Q5C","created_at":"2026-07-04T17:17:40.946525+00:00"},{"alias_kind":"pith_short_16","alias_value":"GM476WB77Q5CTYRS","created_at":"2026-07-04T17:17:40.946525+00:00"},{"alias_kind":"pith_short_8","alias_value":"GM476WB7","created_at":"2026-07-04T17:17:40.946525+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/GM476WB77Q5CTYRS7F3HTTTQVJ","json":"https://pith.science/pith/GM476WB77Q5CTYRS7F3HTTTQVJ.json","graph_json":"https://pith.science/api/pith-number/GM476WB77Q5CTYRS7F3HTTTQVJ/graph.json","events_json":"https://pith.science/api/pith-number/GM476WB77Q5CTYRS7F3HTTTQVJ/events.json","paper":"https://pith.science/paper/GM476WB7"},"agent_actions":{"view_html":"https://pith.science/pith/GM476WB77Q5CTYRS7F3HTTTQVJ","download_json":"https://pith.science/pith/GM476WB77Q5CTYRS7F3HTTTQVJ.json","view_paper":"https://pith.science/paper/GM476WB7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0802.3224&json=true","fetch_graph":"https://pith.science/api/pith-number/GM476WB77Q5CTYRS7F3HTTTQVJ/graph.json","fetch_events":"https://pith.science/api/pith-number/GM476WB77Q5CTYRS7F3HTTTQVJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GM476WB77Q5CTYRS7F3HTTTQVJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GM476WB77Q5CTYRS7F3HTTTQVJ/action/storage_attestation","attest_author":"https://pith.science/pith/GM476WB77Q5CTYRS7F3HTTTQVJ/action/author_attestation","sign_citation":"https://pith.science/pith/GM476WB77Q5CTYRS7F3HTTTQVJ/action/citation_signature","submit_replication":"https://pith.science/pith/GM476WB77Q5CTYRS7F3HTTTQVJ/action/replication_record"}},"created_at":"2026-07-04T17:17:40.946525+00:00","updated_at":"2026-07-04T17:17:40.946525+00:00"}