{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:G7FQM6IDVZIZQPFPTSCF24U7KF","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":"eb368a31673eee1596c6acfc1843c23619e7eee7964fb8467252f89278c79021","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-12-30T09:28:42Z","title_canon_sha256":"06c04428fd15d5d25d2543eb5652fb7cb07562265e93635cb6ffc8205699aba3"},"schema_version":"1.0","source":{"id":"2112.14978","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.14978","created_at":"2026-07-05T05:14:10Z"},{"alias_kind":"arxiv_version","alias_value":"2112.14978v3","created_at":"2026-07-05T05:14:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.14978","created_at":"2026-07-05T05:14:10Z"},{"alias_kind":"pith_short_12","alias_value":"G7FQM6IDVZIZ","created_at":"2026-07-05T05:14:10Z"},{"alias_kind":"pith_short_16","alias_value":"G7FQM6IDVZIZQPFP","created_at":"2026-07-05T05:14:10Z"},{"alias_kind":"pith_short_8","alias_value":"G7FQM6ID","created_at":"2026-07-05T05:14:10Z"}],"graph_snapshots":[{"event_id":"sha256:f96249c6ebe04d2770f172c651c6ee9a59a09cacffba37ec18aac9ef68a349c1","target":"graph","created_at":"2026-07-05T05:14:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.14978/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze several spherically symmetric exterior vacuum solutions allowed by the Einstein-Aether (EA) theory with a non static aether and study the thermodynamics of their Killing and universal horizons. We show that there are five classes of solutions corresponding to different values of a combination of the free parameters, $c_{2}$, $c_{13}=c_1+c_3$ and $c_{14}=c_1+c_4$, which are: (A) $c_2 \\ne 0$ and $c_{13} \\ne 0$ and $c_{14}=0$, (B) $c_2 \\ne 0$ and $c_{13} = 0$ and $c_{14} = 0$, (C) $c_2 = 0$ and $c_{13} \\ne 0$ and $c_{14} = 0$, (D) $c_2 = 0$, $c_{13} = 0$ and $c_{14} \\ne 0$, and (E) $c_","authors_text":"M. F. A. da Silva, R. Chan, V. H. Satheeshkumar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-12-30T09:28:42Z","title":"Thermodynamics of Einstein-Aether Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.14978","kind":"arxiv","version":3},"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":"sha256:994b772250b09eba9b1a296fe39f9ee68ae7f8af16d233eb898efb1876d8190e","target":"record","created_at":"2026-07-05T05:14:10Z","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":"eb368a31673eee1596c6acfc1843c23619e7eee7964fb8467252f89278c79021","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-12-30T09:28:42Z","title_canon_sha256":"06c04428fd15d5d25d2543eb5652fb7cb07562265e93635cb6ffc8205699aba3"},"schema_version":"1.0","source":{"id":"2112.14978","kind":"arxiv","version":3}},"canonical_sha256":"37cb067903ae51983caf9c845d729f517bb84a7650a106d13919a8b46f1009aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37cb067903ae51983caf9c845d729f517bb84a7650a106d13919a8b46f1009aa","first_computed_at":"2026-07-05T05:14:10.146882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:14:10.146882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SGZrm6FXDjEshWDOvz7LuhzHnckl9W3xm1Z1LqPAT/nPBmVQt3YA8PDz1UU6HFcYvDev21hRxZZ7mHEp70LACQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:14:10.147397Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.14978","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:994b772250b09eba9b1a296fe39f9ee68ae7f8af16d233eb898efb1876d8190e","sha256:f96249c6ebe04d2770f172c651c6ee9a59a09cacffba37ec18aac9ef68a349c1"],"state_sha256":"70732df39459cdb16553a4c5f814ba3e39da1d2d4992dce86b4e7bb761ad3f00"}