{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NBC535MVMZM3LYLTZWNBB7KWC5","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":"d66e3846dda6c1769c27497ea6e2138ad575b0f0a23312b76e651cc056dd3808","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-08T07:14:45Z","title_canon_sha256":"d3ae51b51b30e49940ee51513f4a7bf3bdec2439915cfda50f191f4dc67625b5"},"schema_version":"1.0","source":{"id":"1505.01943","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01943","created_at":"2026-05-18T01:49:55Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01943v2","created_at":"2026-05-18T01:49:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01943","created_at":"2026-05-18T01:49:55Z"},{"alias_kind":"pith_short_12","alias_value":"NBC535MVMZM3","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NBC535MVMZM3LYLT","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NBC535MV","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:56264500c098f156bbcb5a32e5e05bff5268a7a4100c2f3b7efa51bda7a79eaa","target":"graph","created_at":"2026-05-18T01:49:55Z","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":"It has long been noticed that Laudau-Lifshitz theory can be used to study the fluctuation of a system that contains a black hole. Since the black string can be constructed by extending n-dimensional black hole into one extra dimension. We study the fluctuation of black string flow with a Schwarzschlid-like metric in D=n+1 dimensional spacetime and a charged solution in D=5 dimensional spacetime and get the second moments of the fluctuation of the mass flux and charge flux.","authors_text":"Meng Sun, Yong-Chang Huna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-08T07:14:45Z","title":"Thermodynamic fluctuation in black string flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01943","kind":"arxiv","version":2},"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:af5bb55d399eaf9c11983ae85a3bdde19c090725362aad712b91991f5c6d7f87","target":"record","created_at":"2026-05-18T01:49:55Z","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":"d66e3846dda6c1769c27497ea6e2138ad575b0f0a23312b76e651cc056dd3808","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-08T07:14:45Z","title_canon_sha256":"d3ae51b51b30e49940ee51513f4a7bf3bdec2439915cfda50f191f4dc67625b5"},"schema_version":"1.0","source":{"id":"1505.01943","kind":"arxiv","version":2}},"canonical_sha256":"6845ddf5956659b5e173cd9a10fd561777c4915ca223f2946f109968fc3dbf5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6845ddf5956659b5e173cd9a10fd561777c4915ca223f2946f109968fc3dbf5d","first_computed_at":"2026-05-18T01:49:55.558181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:55.558181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hfMHhHneXzoghlRGNdkAlgGxpNZ4/0Kol9UuxTBsDBlxbFrIKXvCc/i++7WBzzVZCelAYQd3NtvqUQFCJYANBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:55.558618Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.01943","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af5bb55d399eaf9c11983ae85a3bdde19c090725362aad712b91991f5c6d7f87","sha256:56264500c098f156bbcb5a32e5e05bff5268a7a4100c2f3b7efa51bda7a79eaa"],"state_sha256":"6c4ff2c05b0a5f561b260c66e8f437f68d0678e67fc46ba21162fcc77c272282"}