{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EPW4PUAPY2X2JCQCBOUGPKMPEQ","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":"499baccb442ed5d943c05f01d99ded27de2a53f0fc8769566acd289761eda8bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-02-21T03:44:09Z","title_canon_sha256":"a166677271e8d685424145318df507c40e971d717e94ae08de32f924103f0afa"},"schema_version":"1.0","source":{"id":"1402.5198","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5198","created_at":"2026-05-18T02:49:45Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5198v2","created_at":"2026-05-18T02:49:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5198","created_at":"2026-05-18T02:49:45Z"},{"alias_kind":"pith_short_12","alias_value":"EPW4PUAPY2X2","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EPW4PUAPY2X2JCQC","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EPW4PUAP","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:c11b443a9e29eefb3950693a4496baa631e7e6472741f7305c88effcd2226ee1","target":"graph","created_at":"2026-05-18T02:49:45Z","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 derive mass-independent equations and inequalities for Kerr-Newman-anti-de Sitter black holes. In particular, we obtain an equation that relates electric charge, angular momentum and the areas of the event and Cauchy horizons. An area-angular momentum-charge inequality is derived from this formula, which becomes an equality in the degenerate limit. The same equation is shown to hold for arbitrary degenerate black holes, which might, for example, be surrounded by matter.","authors_text":"J\\\"org Hennig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-02-21T03:44:09Z","title":"Geometric relations for rotating and charged AdS black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5198","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":"sha256:66eab3f3068a9d0300a3a06aa6ebb50ca745f00aa0d8d7c114a046c8a778e843","target":"record","created_at":"2026-05-18T02:49:45Z","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":"499baccb442ed5d943c05f01d99ded27de2a53f0fc8769566acd289761eda8bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-02-21T03:44:09Z","title_canon_sha256":"a166677271e8d685424145318df507c40e971d717e94ae08de32f924103f0afa"},"schema_version":"1.0","source":{"id":"1402.5198","kind":"arxiv","version":2}},"canonical_sha256":"23edc7d00fc6afa48a020ba867a98f240b2a6e1f516a3ad1300ef52f332641af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23edc7d00fc6afa48a020ba867a98f240b2a6e1f516a3ad1300ef52f332641af","first_computed_at":"2026-05-18T02:49:45.577327Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:45.577327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZKVHeWEtGPP3t2Qm2B8S8CYUXBjECYvRI4waECq2NJ65L1YGxbHA3Jx+lfIoYpimcqdwMYXmSl5BjdVipG3JCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:45.577696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5198","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66eab3f3068a9d0300a3a06aa6ebb50ca745f00aa0d8d7c114a046c8a778e843","sha256:c11b443a9e29eefb3950693a4496baa631e7e6472741f7305c88effcd2226ee1"],"state_sha256":"1c645b9af4297cdceb8f4af809bb54e3b5a68cbced7291a09f20a6df3fbdfdd9"}