{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PZMZDPADQIVI2MK7DWEUD7Q52J","short_pith_number":"pith:PZMZDPAD","canonical_record":{"source":{"id":"1701.03223","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-12T03:50:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2bd6572aeff7b0adcc4d84ce0606d243b12f815e90c6bcf91fcdb93d00f44ff7","abstract_canon_sha256":"138e8d829f284b1e4f0cbd6313cb4130fb2238b6c1e06e8b2529e02d814cbb82"},"schema_version":"1.0"},"canonical_sha256":"7e5991bc03822a8d315f1d8941fe1dd27259c14296ddde845bbeae9c7d090315","source":{"kind":"arxiv","id":"1701.03223","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03223","created_at":"2026-05-18T00:52:58Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03223v1","created_at":"2026-05-18T00:52:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03223","created_at":"2026-05-18T00:52:58Z"},{"alias_kind":"pith_short_12","alias_value":"PZMZDPADQIVI","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PZMZDPADQIVI2MK7","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PZMZDPAD","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PZMZDPADQIVI2MK7DWEUD7Q52J","target":"record","payload":{"canonical_record":{"source":{"id":"1701.03223","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-12T03:50:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2bd6572aeff7b0adcc4d84ce0606d243b12f815e90c6bcf91fcdb93d00f44ff7","abstract_canon_sha256":"138e8d829f284b1e4f0cbd6313cb4130fb2238b6c1e06e8b2529e02d814cbb82"},"schema_version":"1.0"},"canonical_sha256":"7e5991bc03822a8d315f1d8941fe1dd27259c14296ddde845bbeae9c7d090315","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:58.188141Z","signature_b64":"GoCW3uVItQStFNCDD9NDTxl14NcLa5AflrD3WoFL3YEqosb86B84gjeDfKvqydC89CaZBD9TP18VxsDPpVvtBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e5991bc03822a8d315f1d8941fe1dd27259c14296ddde845bbeae9c7d090315","last_reissued_at":"2026-05-18T00:52:58.187719Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:58.187719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.03223","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":"2026-05-18T00:52:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pVb/ELz5XwP260s4HgMXdpOnvwUuLPebI6vUwg0syCx5S7o+0szulIY53M+hEfsJ6dCeBjjiAKLcStvRTkaaAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:41:44.661558Z"},"content_sha256":"42adce83a6469408d0c24b5ee365ea7a674d2bbb58a2d523215600224ad09949","schema_version":"1.0","event_id":"sha256:42adce83a6469408d0c24b5ee365ea7a674d2bbb58a2d523215600224ad09949"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PZMZDPADQIVI2MK7DWEUD7Q52J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Smarr formula for BTZ black holes in general three-dimensional gravity models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Baocheng Zhang, Chao Liang, Li Gong","submitted_at":"2017-01-12T03:50:15Z","abstract_excerpt":"Recent studies have presented the interpretation of thermodynamic enthalpy for the mass of BTZ black holes and the corresponding Smarr formula. All these are made in the background of three-dimensional (3D) general relativity. In this paper, we extend such interpretation into general 3D gravity models. It is found that the direct extension is unfeasible and some extra conditions are required to preserve both the Smarr formula and the first law of black hole thermodynamics. Thus, BTZ black hole thermodynamics enforces some constraints for general 3D gravity models, and these constraints are con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03223","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":"2026-05-18T00:52:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+vK0Zf4Uk0Fq3YqqMlfNgkCxmp6xxAfuqVy7Q+xEL9xIb7aSHq1SywgN09SdpyjD618Hjby0Dz6w0hab0jMHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:41:44.661915Z"},"content_sha256":"9433edee8515552926b50d1db7efc9e5597e7b844221ecf902e151bc14e92a3a","schema_version":"1.0","event_id":"sha256:9433edee8515552926b50d1db7efc9e5597e7b844221ecf902e151bc14e92a3a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PZMZDPADQIVI2MK7DWEUD7Q52J/bundle.json","state_url":"https://pith.science/pith/PZMZDPADQIVI2MK7DWEUD7Q52J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PZMZDPADQIVI2MK7DWEUD7Q52J/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":"2026-05-30T07:41:44Z","links":{"resolver":"https://pith.science/pith/PZMZDPADQIVI2MK7DWEUD7Q52J","bundle":"https://pith.science/pith/PZMZDPADQIVI2MK7DWEUD7Q52J/bundle.json","state":"https://pith.science/pith/PZMZDPADQIVI2MK7DWEUD7Q52J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PZMZDPADQIVI2MK7DWEUD7Q52J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PZMZDPADQIVI2MK7DWEUD7Q52J","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":"138e8d829f284b1e4f0cbd6313cb4130fb2238b6c1e06e8b2529e02d814cbb82","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-12T03:50:15Z","title_canon_sha256":"2bd6572aeff7b0adcc4d84ce0606d243b12f815e90c6bcf91fcdb93d00f44ff7"},"schema_version":"1.0","source":{"id":"1701.03223","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03223","created_at":"2026-05-18T00:52:58Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03223v1","created_at":"2026-05-18T00:52:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03223","created_at":"2026-05-18T00:52:58Z"},{"alias_kind":"pith_short_12","alias_value":"PZMZDPADQIVI","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PZMZDPADQIVI2MK7","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PZMZDPAD","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:9433edee8515552926b50d1db7efc9e5597e7b844221ecf902e151bc14e92a3a","target":"graph","created_at":"2026-05-18T00:52:58Z","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":"Recent studies have presented the interpretation of thermodynamic enthalpy for the mass of BTZ black holes and the corresponding Smarr formula. All these are made in the background of three-dimensional (3D) general relativity. In this paper, we extend such interpretation into general 3D gravity models. It is found that the direct extension is unfeasible and some extra conditions are required to preserve both the Smarr formula and the first law of black hole thermodynamics. Thus, BTZ black hole thermodynamics enforces some constraints for general 3D gravity models, and these constraints are con","authors_text":"Baocheng Zhang, Chao Liang, Li Gong","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-12T03:50:15Z","title":"Smarr formula for BTZ black holes in general three-dimensional gravity models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03223","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":"sha256:42adce83a6469408d0c24b5ee365ea7a674d2bbb58a2d523215600224ad09949","target":"record","created_at":"2026-05-18T00:52:58Z","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":"138e8d829f284b1e4f0cbd6313cb4130fb2238b6c1e06e8b2529e02d814cbb82","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-01-12T03:50:15Z","title_canon_sha256":"2bd6572aeff7b0adcc4d84ce0606d243b12f815e90c6bcf91fcdb93d00f44ff7"},"schema_version":"1.0","source":{"id":"1701.03223","kind":"arxiv","version":1}},"canonical_sha256":"7e5991bc03822a8d315f1d8941fe1dd27259c14296ddde845bbeae9c7d090315","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e5991bc03822a8d315f1d8941fe1dd27259c14296ddde845bbeae9c7d090315","first_computed_at":"2026-05-18T00:52:58.187719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:58.187719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GoCW3uVItQStFNCDD9NDTxl14NcLa5AflrD3WoFL3YEqosb86B84gjeDfKvqydC89CaZBD9TP18VxsDPpVvtBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:58.188141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03223","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42adce83a6469408d0c24b5ee365ea7a674d2bbb58a2d523215600224ad09949","sha256:9433edee8515552926b50d1db7efc9e5597e7b844221ecf902e151bc14e92a3a"],"state_sha256":"1e951ac231b0842a12e29b5784e1709a6ef38031b7575815d40f32fc4b3223a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C4XaNbbinAJKxPerWX+nysL1XZAteb+iNp7ZvXD7Cn/SXcOOfltLT0w6Mz68AEw4ag5l7j4Sba/KAaW/e/W7Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:41:44.664277Z","bundle_sha256":"6cd4f35f2d00be48988b6bf4f30c3ce51b2db7d89fd942804a52941f8c988da4"}}