{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2QDYOFV6XGFAJ74HTV7RY7NKFH","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":"1f603f1930c799c268d6c7292c924a6e1241392fe09f027c95e53883fc8428d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-20T09:50:31Z","title_canon_sha256":"f217469d035fcbc7675c27d1501f6107e19d56ea5b34adfeb7fb5b042693ebd7"},"schema_version":"1.0","source":{"id":"1009.3749","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.3749","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"arxiv_version","alias_value":"1009.3749v1","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3749","created_at":"2026-05-18T02:33:08Z"},{"alias_kind":"pith_short_12","alias_value":"2QDYOFV6XGFA","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2QDYOFV6XGFAJ74H","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2QDYOFV6","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:97453418a1f358474dab972dd06abfd285b857e32e4eaddd425db70f86b32f63","target":"graph","created_at":"2026-05-18T02:33:08Z","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":"In this paper, we study different cases of the charged rotating BTZ black hole with reference to their horizons. For the existence of these cases conditions on mass, charge and angular momentum of the black hole are obtained. It is also shown that the Einstein field equations for the charged rotating BTZ black hole at the horizon can be expressed as first law of thermodynamics, $dE=TdS+\\Omega dJ+\\Phi dq+P_{r}dA$.","authors_text":"Azad A. Siddiqui, M. Akbar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-20T09:50:31Z","title":"Charged Rotating BTZ Black Hole and Thermodynamic Behavior of Field Equations at its Horizon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3749","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:b3bc4b754ef392595f1aa4926846a9312eb6a734bbd1fb851477402cc2699102","target":"record","created_at":"2026-05-18T02:33:08Z","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":"1f603f1930c799c268d6c7292c924a6e1241392fe09f027c95e53883fc8428d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-20T09:50:31Z","title_canon_sha256":"f217469d035fcbc7675c27d1501f6107e19d56ea5b34adfeb7fb5b042693ebd7"},"schema_version":"1.0","source":{"id":"1009.3749","kind":"arxiv","version":1}},"canonical_sha256":"d4078716beb98a04ff879d7f1c7daa29c6fc7e9dfef798e676db32cdd752a3a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4078716beb98a04ff879d7f1c7daa29c6fc7e9dfef798e676db32cdd752a3a9","first_computed_at":"2026-05-18T02:33:08.095875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:08.095875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SZsRALHIQOXCgnJRS61/kRRhOQHLJcp31Fog/d7xVpd1ZfDs5XRIBPXG3Klk+Diq1pY0Df/FRCTGubmXmv1dDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:08.096457Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.3749","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3bc4b754ef392595f1aa4926846a9312eb6a734bbd1fb851477402cc2699102","sha256:97453418a1f358474dab972dd06abfd285b857e32e4eaddd425db70f86b32f63"],"state_sha256":"32e792047ba6298d9de12842b8aa34874973ad1373760338eab66796935a2f35"}