{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GBFLPNB5HV4SUSAR3PHRU2QJIU","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":"085b57cec16133e5cb877f651800b679f1bee17eafc3bc9239f08d9a97785fd4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-02-04T07:09:58Z","title_canon_sha256":"21c6fee3f75b85bf9e544691dae0bde84d8eadfafee960a61d24d3c9fee69d4c"},"schema_version":"1.0","source":{"id":"1802.01084","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01084","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01084v2","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01084","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"pith_short_12","alias_value":"GBFLPNB5HV4S","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GBFLPNB5HV4SUSAR","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GBFLPNB5","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:86f1a7af5cc1e48f8a49b214f00e55cb7cc906edee55dfc4f38e5fe8c286d2c7","target":"graph","created_at":"2026-05-18T00:19:41Z","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":"We construct the thermodynamic geometry of $2+1$ dimensional normal (exotic) BTZ black hole regarding to the fluctuation of cosmological constant. We argue that while the thermodynamic geometry of black hole without fluctuation of cosmological constant is a two dimensional flat spaces, the three dimensional thermodynamics parameters space including the cosmological constant as a fluctuating parameter will be curved. Some consequence of the fluctuation of cosmological constant will be investigated. We show that such fluctuation leads to a thermodynamics curvature which is correctly singular at ","authors_text":"Hosein Mohammadzadeh, Maryam Rastkar, Morteza Nattagh Najafi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-02-04T07:09:58Z","title":"Thermodynamic Geometry of Normal (Exotic) BTZ Black Hole Regarding to the Fluctuation of Cosmological Constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01084","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:a1dd12007334bc8ed2aedf3a60221a2be09de101634c00f688191d226ce1731e","target":"record","created_at":"2026-05-18T00:19:41Z","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":"085b57cec16133e5cb877f651800b679f1bee17eafc3bc9239f08d9a97785fd4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-02-04T07:09:58Z","title_canon_sha256":"21c6fee3f75b85bf9e544691dae0bde84d8eadfafee960a61d24d3c9fee69d4c"},"schema_version":"1.0","source":{"id":"1802.01084","kind":"arxiv","version":2}},"canonical_sha256":"304ab7b43d3d792a4811dbcf1a6a09453325fae0b0b26394f14565cbee26a93c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"304ab7b43d3d792a4811dbcf1a6a09453325fae0b0b26394f14565cbee26a93c","first_computed_at":"2026-05-18T00:19:41.121441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:41.121441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vqeJRiApI88v9E4thCnkbAcitdlLuHlE4mmJVcRi2OscGsSk6AiZo8JvsQiCRDeQSIea2Hv8b+Y2/F4+Ao5qCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:41.122153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01084","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1dd12007334bc8ed2aedf3a60221a2be09de101634c00f688191d226ce1731e","sha256:86f1a7af5cc1e48f8a49b214f00e55cb7cc906edee55dfc4f38e5fe8c286d2c7"],"state_sha256":"9f2c8569458d746df730099f44cb74e5575b6ea048b084b62aec41d62f9349cd"}