{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BRF3VUVNRJOQJNVCHU2EPRCEPJ","short_pith_number":"pith:BRF3VUVN","canonical_record":{"source":{"id":"1412.8144","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-28T10:37:10Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"83ecc0a52fa2bc4da958c502900d025825f29fa0987abe2830bb1f34c73087c4","abstract_canon_sha256":"ec42e4614922243795b21dbfdb60e4d6fe110dc50685cfd687447a917ee574db"},"schema_version":"1.0"},"canonical_sha256":"0c4bbad2ad8a5d04b6a23d3447c4447a423da2bc5f01f1515d58e097502149d5","source":{"kind":"arxiv","id":"1412.8144","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.8144","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"arxiv_version","alias_value":"1412.8144v3","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8144","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"pith_short_12","alias_value":"BRF3VUVNRJOQ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BRF3VUVNRJOQJNVC","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BRF3VUVN","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BRF3VUVNRJOQJNVCHU2EPRCEPJ","target":"record","payload":{"canonical_record":{"source":{"id":"1412.8144","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-28T10:37:10Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"83ecc0a52fa2bc4da958c502900d025825f29fa0987abe2830bb1f34c73087c4","abstract_canon_sha256":"ec42e4614922243795b21dbfdb60e4d6fe110dc50685cfd687447a917ee574db"},"schema_version":"1.0"},"canonical_sha256":"0c4bbad2ad8a5d04b6a23d3447c4447a423da2bc5f01f1515d58e097502149d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:15.481055Z","signature_b64":"MUtPSmYJJz3WPtAj4c+N/4LC1afSGSAAqm0dgrXiLp9u88JKQZ0NXt4VsUjXtc/vzCqJR391ow0qVtgnti/xBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c4bbad2ad8a5d04b6a23d3447c4447a423da2bc5f01f1515d58e097502149d5","last_reissued_at":"2026-05-18T01:41:15.480513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:15.480513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.8144","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:41:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EUTi8ON0ndbl/MQ1v8EdpHVXc+BK/AGVU+VbvY7ypu1F9dOW89bBG+D+yn2hXU+9z9BNH2WBf0PjLdrmRdp7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:53:48.192592Z"},"content_sha256":"504a0d3ae55183d4210b4c80a78d549654d69bdb3641fb61e3d8ee46e6d666ed","schema_version":"1.0","event_id":"sha256:504a0d3ae55183d4210b4c80a78d549654d69bdb3641fb61e3d8ee46e6d666ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BRF3VUVNRJOQJNVCHU2EPRCEPJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flat space compressible fluid as holographic dual of black hole with curved horizon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Bin Wu, Liu Zhao, Xin Hao","submitted_at":"2014-12-28T10:37:10Z","abstract_excerpt":"We consider the fluid dual of $(d+2)$-dimensional vacuum Einstein equation either with or without a cosmological constant. The background solutions admit black hole event horizons and the spatial sections of the horizons are conformally flat. Therefore, a $d$-dimensional flat Euclidean space $\\mathbb{E}^d$ is contained in the conformal class of the spatial section of the black hole horizon. A compressible, forced, stationary and viscous fluid system can be constructed on the product (Newtonian) spacetime $\\mathbb{R}\\times\\mathbb{E}^d$ as the lowest order fluctuation modes around such black hol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8144","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":""},"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":"2026-05-18T01:41:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MD1odq7Lwfb+XJaDHkdzXM3y5Ol+hGttgW1w85r8FdkDSti85QEV4K6PmVUEZzDEAudBDv+lxePgroRA8WhLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:53:48.193258Z"},"content_sha256":"b1dfe3a5bc36e48ba8acc5dbdd23917db3e25a64e92eca63327b82ed752541a7","schema_version":"1.0","event_id":"sha256:b1dfe3a5bc36e48ba8acc5dbdd23917db3e25a64e92eca63327b82ed752541a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BRF3VUVNRJOQJNVCHU2EPRCEPJ/bundle.json","state_url":"https://pith.science/pith/BRF3VUVNRJOQJNVCHU2EPRCEPJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BRF3VUVNRJOQJNVCHU2EPRCEPJ/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":"2026-05-26T16:53:48Z","links":{"resolver":"https://pith.science/pith/BRF3VUVNRJOQJNVCHU2EPRCEPJ","bundle":"https://pith.science/pith/BRF3VUVNRJOQJNVCHU2EPRCEPJ/bundle.json","state":"https://pith.science/pith/BRF3VUVNRJOQJNVCHU2EPRCEPJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BRF3VUVNRJOQJNVCHU2EPRCEPJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BRF3VUVNRJOQJNVCHU2EPRCEPJ","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":"ec42e4614922243795b21dbfdb60e4d6fe110dc50685cfd687447a917ee574db","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-28T10:37:10Z","title_canon_sha256":"83ecc0a52fa2bc4da958c502900d025825f29fa0987abe2830bb1f34c73087c4"},"schema_version":"1.0","source":{"id":"1412.8144","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.8144","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"arxiv_version","alias_value":"1412.8144v3","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8144","created_at":"2026-05-18T01:41:15Z"},{"alias_kind":"pith_short_12","alias_value":"BRF3VUVNRJOQ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BRF3VUVNRJOQJNVC","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BRF3VUVN","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:b1dfe3a5bc36e48ba8acc5dbdd23917db3e25a64e92eca63327b82ed752541a7","target":"graph","created_at":"2026-05-18T01:41:15Z","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 consider the fluid dual of $(d+2)$-dimensional vacuum Einstein equation either with or without a cosmological constant. The background solutions admit black hole event horizons and the spatial sections of the horizons are conformally flat. Therefore, a $d$-dimensional flat Euclidean space $\\mathbb{E}^d$ is contained in the conformal class of the spatial section of the black hole horizon. A compressible, forced, stationary and viscous fluid system can be constructed on the product (Newtonian) spacetime $\\mathbb{R}\\times\\mathbb{E}^d$ as the lowest order fluctuation modes around such black hol","authors_text":"Bin Wu, Liu Zhao, Xin Hao","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-28T10:37:10Z","title":"Flat space compressible fluid as holographic dual of black hole with curved horizon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8144","kind":"arxiv","version":3},"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":"sha256:504a0d3ae55183d4210b4c80a78d549654d69bdb3641fb61e3d8ee46e6d666ed","target":"record","created_at":"2026-05-18T01:41:15Z","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":"ec42e4614922243795b21dbfdb60e4d6fe110dc50685cfd687447a917ee574db","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-28T10:37:10Z","title_canon_sha256":"83ecc0a52fa2bc4da958c502900d025825f29fa0987abe2830bb1f34c73087c4"},"schema_version":"1.0","source":{"id":"1412.8144","kind":"arxiv","version":3}},"canonical_sha256":"0c4bbad2ad8a5d04b6a23d3447c4447a423da2bc5f01f1515d58e097502149d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c4bbad2ad8a5d04b6a23d3447c4447a423da2bc5f01f1515d58e097502149d5","first_computed_at":"2026-05-18T01:41:15.480513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:15.480513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MUtPSmYJJz3WPtAj4c+N/4LC1afSGSAAqm0dgrXiLp9u88JKQZ0NXt4VsUjXtc/vzCqJR391ow0qVtgnti/xBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:15.481055Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.8144","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:504a0d3ae55183d4210b4c80a78d549654d69bdb3641fb61e3d8ee46e6d666ed","sha256:b1dfe3a5bc36e48ba8acc5dbdd23917db3e25a64e92eca63327b82ed752541a7"],"state_sha256":"7a0d3a24e04112319c71c4cf11fcde18dfc8006e431c3dec18f2e257794e7f5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+OJc6KOigZ+bLLHRgIt2Isy4k/Tj/M/naJDhsOPHipfEXh6yq28czxvcMD7B8nPLEDimFn1JkM666MS4JVeOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:53:48.197225Z","bundle_sha256":"9f1a8666fe15b47c1d49840e4aaecbf32d1d0275c1245ffd9678c3b6fd8891b2"}}