{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PHMHNTTP5GRNU7IFG7JJS7GB4X","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":"bfd04d6fd8270218eb858c0db0deef62bfff97b0253a80d80736e8e5ed7c90f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-02-03T01:25:32Z","title_canon_sha256":"ef3d7cdaa28ecf2c5b546d5c0d4df7a70170ee1683cda3818e152b1a3e520792"},"schema_version":"1.0","source":{"id":"1902.00825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.00825","created_at":"2026-05-17T23:53:41Z"},{"alias_kind":"arxiv_version","alias_value":"1902.00825v1","created_at":"2026-05-17T23:53:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00825","created_at":"2026-05-17T23:53:41Z"},{"alias_kind":"pith_short_12","alias_value":"PHMHNTTP5GRN","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"PHMHNTTP5GRNU7IF","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"PHMHNTTP","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:80491e8a7959d538f6723bf683debe6f38480cfe0fa5456860c0ac0e9bb6361b","target":"graph","created_at":"2026-05-17T23:53:41Z","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":"Generalized Smarr relations in terms of quasilocal variables are obtained for Schwarzschild and Reissner-Nordstr\\\"om black holes. The approach is based on gravitational path integrals with finite boundaries on which, following Brown and York, thermodynamic variables are identified through a Hamilton-Jacobi analysis of the action. The resulting expressions allow us to construct the relation between the quasilocal energy obtained in this setting and the Komar and Misner-Sharp energies, which are regarded as thermodynamical internal energy in other approaches. The quasilocal Smarr relation is obt","authors_text":"F. D. Villalba, P. Bargue\\~no","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-02-03T01:25:32Z","title":"Quasilocal Smarr relations for static black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00825","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":"sha256:21cac1c446d92aedc303dbc5f7a3b23f8edb549e1a1f51a032e315cb3397f904","target":"record","created_at":"2026-05-17T23:53:41Z","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":"bfd04d6fd8270218eb858c0db0deef62bfff97b0253a80d80736e8e5ed7c90f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-02-03T01:25:32Z","title_canon_sha256":"ef3d7cdaa28ecf2c5b546d5c0d4df7a70170ee1683cda3818e152b1a3e520792"},"schema_version":"1.0","source":{"id":"1902.00825","kind":"arxiv","version":1}},"canonical_sha256":"79d876ce6fe9a2da7d0537d2997cc1e5e4ab5f43d190ad9a1436bbbfefe1fcbd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79d876ce6fe9a2da7d0537d2997cc1e5e4ab5f43d190ad9a1436bbbfefe1fcbd","first_computed_at":"2026-05-17T23:53:41.068461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:41.068461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WsSqJ803B2LYSvW++2GL+Gg9Y7KVlMTLOj+7RezYuhFhH2e6eFT+kNRe140Z9pOTY93wzW8sbwUEbHetVzUwDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:41.068904Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.00825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21cac1c446d92aedc303dbc5f7a3b23f8edb549e1a1f51a032e315cb3397f904","sha256:80491e8a7959d538f6723bf683debe6f38480cfe0fa5456860c0ac0e9bb6361b"],"state_sha256":"8a27bc67e897879b27622e39b134b6490a5c818ce91178fc24ef17f4f7692789"}