{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UPPQGMSQ4VNDXEW5JIWNIVCRA7","short_pith_number":"pith:UPPQGMSQ","canonical_record":{"source":{"id":"1303.3736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-15T11:21:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"851c544d2942daac5a7c5e90338a1325e8c157684fbc9c2bc3b143efec93d548","abstract_canon_sha256":"42ca63e020127c6fbb3f19f345eb8f3fdcf777dcb4dfbc11fb63fbb61ae9d6de"},"schema_version":"1.0"},"canonical_sha256":"a3df033250e55a3b92dd4a2cd4545107c523a8de2c0bf34d7d06c10edfb7e18a","source":{"kind":"arxiv","id":"1303.3736","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3736","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3736v1","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3736","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"UPPQGMSQ4VND","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UPPQGMSQ4VNDXEW5","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UPPQGMSQ","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UPPQGMSQ4VNDXEW5JIWNIVCRA7","target":"record","payload":{"canonical_record":{"source":{"id":"1303.3736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-15T11:21:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"851c544d2942daac5a7c5e90338a1325e8c157684fbc9c2bc3b143efec93d548","abstract_canon_sha256":"42ca63e020127c6fbb3f19f345eb8f3fdcf777dcb4dfbc11fb63fbb61ae9d6de"},"schema_version":"1.0"},"canonical_sha256":"a3df033250e55a3b92dd4a2cd4545107c523a8de2c0bf34d7d06c10edfb7e18a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:06.894011Z","signature_b64":"zsSqaN1/Hh+vgaw7fbq7xkqpVkrgkOYoWn+86XUgBAGcrxHUbc1I7ZYFKZB70+DeV/lT8jLniggAS97A+9SgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3df033250e55a3b92dd4a2cd4545107c523a8de2c0bf34d7d06c10edfb7e18a","last_reissued_at":"2026-05-18T01:51:06.893434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:06.893434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.3736","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":"2026-05-18T01:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fqX3ypwpryMqEaOvc46JoXSVOYPo7wa6DiOwCZKk8qqmRYPre8WuVy1ew+pB4iI4HliCcSBADnjahOcslFy3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:27:09.979121Z"},"content_sha256":"dfafa1e792cc98c53c883c3cdd6b25a75876a73994a7718965b5fc1aebea64e5","schema_version":"1.0","event_id":"sha256:dfafa1e792cc98c53c883c3cdd6b25a75876a73994a7718965b5fc1aebea64e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UPPQGMSQ4VNDXEW5JIWNIVCRA7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluid/Gravity Correspondence For General Non-rotating Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Chengyong Zhang, Xiaoning Wu, Yi Ling, Yu Tian","submitted_at":"2013-03-15T11:21:05Z","abstract_excerpt":"In this paper, we investigate the fluid/gravity correspondence in spacetime with general non-rotating weakly isolated horizon. With the help of Petrov-like boundary condition and large mean curvature limit, we show that the dual hydrodynamical system is described by a generalized forced incompressible Navier-Stocks equation. Specially, for stationary black holes or those spacetime with some asymptotically stationary conditions, such a system reduces to a standard forced Navier-Stocks system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3736","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":"2026-05-18T01:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jdf3hM9PfNfvzFj4nMe6D7prgjmWKhhL50f0dkKCZf4lk3TjkYahJGIP/qnC04nVVHmw1RRzUfetjrL4vPcFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:27:09.979487Z"},"content_sha256":"9e4af96ff62c4c7aa42922e493b7e203b936211c0b581ffc07a35005b9e31a8a","schema_version":"1.0","event_id":"sha256:9e4af96ff62c4c7aa42922e493b7e203b936211c0b581ffc07a35005b9e31a8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPPQGMSQ4VNDXEW5JIWNIVCRA7/bundle.json","state_url":"https://pith.science/pith/UPPQGMSQ4VNDXEW5JIWNIVCRA7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPPQGMSQ4VNDXEW5JIWNIVCRA7/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":"2026-06-04T00:27:09Z","links":{"resolver":"https://pith.science/pith/UPPQGMSQ4VNDXEW5JIWNIVCRA7","bundle":"https://pith.science/pith/UPPQGMSQ4VNDXEW5JIWNIVCRA7/bundle.json","state":"https://pith.science/pith/UPPQGMSQ4VNDXEW5JIWNIVCRA7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPPQGMSQ4VNDXEW5JIWNIVCRA7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UPPQGMSQ4VNDXEW5JIWNIVCRA7","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":"42ca63e020127c6fbb3f19f345eb8f3fdcf777dcb4dfbc11fb63fbb61ae9d6de","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-15T11:21:05Z","title_canon_sha256":"851c544d2942daac5a7c5e90338a1325e8c157684fbc9c2bc3b143efec93d548"},"schema_version":"1.0","source":{"id":"1303.3736","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3736","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3736v1","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3736","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"UPPQGMSQ4VND","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UPPQGMSQ4VNDXEW5","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UPPQGMSQ","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:9e4af96ff62c4c7aa42922e493b7e203b936211c0b581ffc07a35005b9e31a8a","target":"graph","created_at":"2026-05-18T01:51:06Z","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":"In this paper, we investigate the fluid/gravity correspondence in spacetime with general non-rotating weakly isolated horizon. With the help of Petrov-like boundary condition and large mean curvature limit, we show that the dual hydrodynamical system is described by a generalized forced incompressible Navier-Stocks equation. Specially, for stationary black holes or those spacetime with some asymptotically stationary conditions, such a system reduces to a standard forced Navier-Stocks system.","authors_text":"Chengyong Zhang, Xiaoning Wu, Yi Ling, Yu Tian","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-15T11:21:05Z","title":"Fluid/Gravity Correspondence For General Non-rotating Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3736","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:dfafa1e792cc98c53c883c3cdd6b25a75876a73994a7718965b5fc1aebea64e5","target":"record","created_at":"2026-05-18T01:51:06Z","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":"42ca63e020127c6fbb3f19f345eb8f3fdcf777dcb4dfbc11fb63fbb61ae9d6de","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-15T11:21:05Z","title_canon_sha256":"851c544d2942daac5a7c5e90338a1325e8c157684fbc9c2bc3b143efec93d548"},"schema_version":"1.0","source":{"id":"1303.3736","kind":"arxiv","version":1}},"canonical_sha256":"a3df033250e55a3b92dd4a2cd4545107c523a8de2c0bf34d7d06c10edfb7e18a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3df033250e55a3b92dd4a2cd4545107c523a8de2c0bf34d7d06c10edfb7e18a","first_computed_at":"2026-05-18T01:51:06.893434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:06.893434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zsSqaN1/Hh+vgaw7fbq7xkqpVkrgkOYoWn+86XUgBAGcrxHUbc1I7ZYFKZB70+DeV/lT8jLniggAS97A+9SgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:06.894011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3736","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfafa1e792cc98c53c883c3cdd6b25a75876a73994a7718965b5fc1aebea64e5","sha256:9e4af96ff62c4c7aa42922e493b7e203b936211c0b581ffc07a35005b9e31a8a"],"state_sha256":"2f0836ed07c7fac0fa4e7cd9c40b66eb4ce24204637f738030b93f9e3cd95f6e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hO/12riPIPeguFT7MwMqLRajNxEySKLpR/yNR2MkZSt4CLWP4w/v+JX6zSAIEBUWB2sa4LmiEH4yzeGQg8ZgBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T00:27:09.981423Z","bundle_sha256":"e6f32cbf48efc6e2354347c87a908d5015a3dc5c18ddc347c25892a94d8e8491"}}