{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LQQHYCRLANTHOABHZ62ULMMUD2","short_pith_number":"pith:LQQHYCRL","schema_version":"1.0","canonical_sha256":"5c207c0a2b0366770027cfb545b1941ea32285885b27ee77600d788ea156e4a1","source":{"kind":"arxiv","id":"1201.2678","version":2},"attestation_state":"computed","paper":{"title":"The relativistic fluid dual to vacuum Einstein gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Geoffrey Comp\\`ere, Kostas Skenderis, Marika Taylor, Paul McFadden","submitted_at":"2012-01-12T21:00:03Z","abstract_excerpt":"We present a construction of a (d+2)-dimensional Ricci-flat metric corresponding to a (d+1)-dimensional relativistic fluid, representing holographically the hydrodynamic regime of a (putative) dual theory. We show how to obtain the metric to arbitrarily high order using a relativistic gradient expansion, and explicitly carry out the computation to second order. The fluid has zero energy density in equilibrium, which implies incompressibility at first order in gradients, and its stress tensor (both at and away from equilibrium) satisfies a quadratic constraint, which determines its energy densi"},"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":"1201.2678","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-01-12T21:00:03Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"5bc59a822ef8d11ff1cfa51a0b02ddfade4461758a1c96add15718290e0e6d41","abstract_canon_sha256":"44932517bfbe97de543c33e4b325a0d4d5c59783afb5549b31e883f298ef9476"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:39.413761Z","signature_b64":"4btb+bsU0GuU8rMaiLL2RJm731LK+vMs6ENInpK9qJs4TZ4YXxU5WUEED3cElj1t2f/72OSa1kppCVMgq6HfDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c207c0a2b0366770027cfb545b1941ea32285885b27ee77600d788ea156e4a1","last_reissued_at":"2026-05-18T03:58:39.413248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:39.413248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The relativistic fluid dual to vacuum Einstein gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Geoffrey Comp\\`ere, Kostas Skenderis, Marika Taylor, Paul McFadden","submitted_at":"2012-01-12T21:00:03Z","abstract_excerpt":"We present a construction of a (d+2)-dimensional Ricci-flat metric corresponding to a (d+1)-dimensional relativistic fluid, representing holographically the hydrodynamic regime of a (putative) dual theory. We show how to obtain the metric to arbitrarily high order using a relativistic gradient expansion, and explicitly carry out the computation to second order. The fluid has zero energy density in equilibrium, which implies incompressibility at first order in gradients, and its stress tensor (both at and away from equilibrium) satisfies a quadratic constraint, which determines its energy densi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2678","kind":"arxiv","version":2},"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":"1201.2678","created_at":"2026-05-18T03:58:39.413354+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.2678v2","created_at":"2026-05-18T03:58:39.413354+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2678","created_at":"2026-05-18T03:58:39.413354+00:00"},{"alias_kind":"pith_short_12","alias_value":"LQQHYCRLANTH","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LQQHYCRLANTHOABH","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LQQHYCRL","created_at":"2026-05-18T12:27:14.488303+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.01446","citing_title":"Radiation in Fluid/Gravity and the Flat Limit","ref_index":30,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LQQHYCRLANTHOABHZ62ULMMUD2","json":"https://pith.science/pith/LQQHYCRLANTHOABHZ62ULMMUD2.json","graph_json":"https://pith.science/api/pith-number/LQQHYCRLANTHOABHZ62ULMMUD2/graph.json","events_json":"https://pith.science/api/pith-number/LQQHYCRLANTHOABHZ62ULMMUD2/events.json","paper":"https://pith.science/paper/LQQHYCRL"},"agent_actions":{"view_html":"https://pith.science/pith/LQQHYCRLANTHOABHZ62ULMMUD2","download_json":"https://pith.science/pith/LQQHYCRLANTHOABHZ62ULMMUD2.json","view_paper":"https://pith.science/paper/LQQHYCRL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.2678&json=true","fetch_graph":"https://pith.science/api/pith-number/LQQHYCRLANTHOABHZ62ULMMUD2/graph.json","fetch_events":"https://pith.science/api/pith-number/LQQHYCRLANTHOABHZ62ULMMUD2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LQQHYCRLANTHOABHZ62ULMMUD2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LQQHYCRLANTHOABHZ62ULMMUD2/action/storage_attestation","attest_author":"https://pith.science/pith/LQQHYCRLANTHOABHZ62ULMMUD2/action/author_attestation","sign_citation":"https://pith.science/pith/LQQHYCRLANTHOABHZ62ULMMUD2/action/citation_signature","submit_replication":"https://pith.science/pith/LQQHYCRLANTHOABHZ62ULMMUD2/action/replication_record"}},"created_at":"2026-05-18T03:58:39.413354+00:00","updated_at":"2026-05-18T03:58:39.413354+00:00"}