{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RSUY5MH2KFHRQ5TJ6XHTKVPTRU","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":"167e46b071a7df662c1041d34bb37e82f8404eb0315b7fcdd7605e27950b4885","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-17T07:25:56Z","title_canon_sha256":"919d47b02283dc8c3fc79e3239a2f7fa012ec5cb1a8ab466b53b3e59957f6c66"},"schema_version":"1.0","source":{"id":"2304.08030","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.08030","created_at":"2026-07-05T06:30:30Z"},{"alias_kind":"arxiv_version","alias_value":"2304.08030v2","created_at":"2026-07-05T06:30:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.08030","created_at":"2026-07-05T06:30:30Z"},{"alias_kind":"pith_short_12","alias_value":"RSUY5MH2KFHR","created_at":"2026-07-05T06:30:30Z"},{"alias_kind":"pith_short_16","alias_value":"RSUY5MH2KFHRQ5TJ","created_at":"2026-07-05T06:30:30Z"},{"alias_kind":"pith_short_8","alias_value":"RSUY5MH2","created_at":"2026-07-05T06:30:30Z"}],"graph_snapshots":[{"event_id":"sha256:9422eac4fe91f0a29fe0c3bd9e06cc1e68d7af3ccbfeca91c1d19079b1c68747","target":"graph","created_at":"2026-07-05T06:30:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2304.08030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As a vector-tensor theory including nonminimal coupling between the Ricci tensor and a vector field, the bumblebee gravity is a potential theory to test Lorentz symmetry violation. Recently, a new class of numerical spherical black holes in the bumblebee theory was constructed. In this paper, we investigate the associated local thermodynamic properties. By introducing a pair of conjugated thermodynamic quantities $X$ and $Y$, which can be interpreted as an extension of electric potential and charge of the Reissner Nordstr\\\"om black holes, we numerically construct a new first law of thermodynam","authors_text":"Dicong Liang, Lijing Shao, Rui Xu, Zhan-Feng Mai","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-17T07:25:56Z","title":"Extended thermodynamics of the bumblebee black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.08030","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":"sha256:619c6b412832036eccc76951c8ec82016e24c115e5dc549ad2fb2e53fedcf912","target":"record","created_at":"2026-07-05T06:30:30Z","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":"167e46b071a7df662c1041d34bb37e82f8404eb0315b7fcdd7605e27950b4885","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-17T07:25:56Z","title_canon_sha256":"919d47b02283dc8c3fc79e3239a2f7fa012ec5cb1a8ab466b53b3e59957f6c66"},"schema_version":"1.0","source":{"id":"2304.08030","kind":"arxiv","version":2}},"canonical_sha256":"8ca98eb0fa514f187669f5cf3555f38d087a2a9c0a26333d52b860ce38a300ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ca98eb0fa514f187669f5cf3555f38d087a2a9c0a26333d52b860ce38a300ca","first_computed_at":"2026-07-05T06:30:30.402710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:30:30.402710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/yMsODPURr065DvHKJndq6h7I0YhiGjZLPhMEo5P6AtfD2ZVBBPSX0qZ/t0T0XKXe739oCz0Axpgqg6EscgCBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:30:30.403265Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.08030","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:619c6b412832036eccc76951c8ec82016e24c115e5dc549ad2fb2e53fedcf912","sha256:9422eac4fe91f0a29fe0c3bd9e06cc1e68d7af3ccbfeca91c1d19079b1c68747"],"state_sha256":"2b6311df62a602342f4007f4e7fd542a21a570da6b84617f6ed5e8976580ef98"}