{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:OAXBNAOGI7T5L62VNUVHYIOJL7","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":"67a67291b90c53af2647c79b727ec110cec11b0c20283f207eb8755cfc769d41","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-08-26T09:28:33Z","title_canon_sha256":"20eb6be623e6cbbc802998e75c2d5e7a34ed333e070499394f5faf043f57247a"},"schema_version":"1.0","source":{"id":"gr-qc/9708062","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9708062","created_at":"2026-05-18T04:24:25Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9708062v2","created_at":"2026-05-18T04:24:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9708062","created_at":"2026-05-18T04:24:25Z"},{"alias_kind":"pith_short_12","alias_value":"OAXBNAOGI7T5","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"OAXBNAOGI7T5L62V","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"OAXBNAOG","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:55b36ac2b112381c7b178888c4429e365715cc225295dc7c3d2d13944ba46162","target":"graph","created_at":"2026-05-18T04:24:25Z","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 the Euclidean path integral approach, we calculate the actions and the entropies for the Reissner-Nordstr\\\"om-de Sitter solutions. When the temperatures of black hole and cosmological horizons are equal, the entropy is the sum of one-quarter areas of black hole and cosmological horizons; when the inner and outer black hole horizons coincide, the entropy is only one-quarter area of cosmological horizon; and the entropy vanishes when the two black hole horizons and cosmological horizon coincide. We also calculate the Euler numbers of the corresponding Euclidean manifolds, and discuss the rela","authors_text":"Jeong-Young Ji, Kwang-Sup Soh, Rong-Gen Cai","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1997-08-26T09:28:33Z","title":"Action and entropy of black holes in spacetimes with a cosmological constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9708062","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":"sha256:60576701327400b493ab3829011de72c6e3c3172671721f3b34ba36547b7f21b","target":"record","created_at":"2026-05-18T04:24:25Z","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":"67a67291b90c53af2647c79b727ec110cec11b0c20283f207eb8755cfc769d41","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-08-26T09:28:33Z","title_canon_sha256":"20eb6be623e6cbbc802998e75c2d5e7a34ed333e070499394f5faf043f57247a"},"schema_version":"1.0","source":{"id":"gr-qc/9708062","kind":"arxiv","version":2}},"canonical_sha256":"702e1681c647e7d5fb556d2a7c21c95fc032711b3013c403cea082f37674a621","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"702e1681c647e7d5fb556d2a7c21c95fc032711b3013c403cea082f37674a621","first_computed_at":"2026-05-18T04:24:25.864390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:25.864390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nxuAUH8jzbtnPxHPLShx8GWI3bMCnerLsm4QtzQzI86nz87yVa7jmfgSkFWtUl4sqGWJlCwNbKgDC9aVWsMwDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:25.865223Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9708062","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60576701327400b493ab3829011de72c6e3c3172671721f3b34ba36547b7f21b","sha256:55b36ac2b112381c7b178888c4429e365715cc225295dc7c3d2d13944ba46162"],"state_sha256":"ebd5f579d7ada63e6076beae32c9f12fc20984c3e7116f1d63ff219e1bd6030f"}