{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3LUITCRLK3DEYQFIVIGNOW34H4","short_pith_number":"pith:3LUITCRL","canonical_record":{"source":{"id":"1109.0801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-09-05T05:30:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f46c46992efc15794924bf3336d0fc3ecd78d0ee2342c8089fb44845f0c50b83","abstract_canon_sha256":"3db7c9b9042549208a01566264c5c8b326e523a6334b267c922a2d5fd5d88546"},"schema_version":"1.0"},"canonical_sha256":"dae8898a2b56c64c40a8aa0cd75b7c3f3ea8b28b8fc62113654322c3f9c00e55","source":{"kind":"arxiv","id":"1109.0801","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0801","created_at":"2026-05-18T04:14:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0801v1","created_at":"2026-05-18T04:14:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0801","created_at":"2026-05-18T04:14:06Z"},{"alias_kind":"pith_short_12","alias_value":"3LUITCRLK3DE","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3LUITCRLK3DEYQFI","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3LUITCRL","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3LUITCRLK3DEYQFIVIGNOW34H4","target":"record","payload":{"canonical_record":{"source":{"id":"1109.0801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-09-05T05:30:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f46c46992efc15794924bf3336d0fc3ecd78d0ee2342c8089fb44845f0c50b83","abstract_canon_sha256":"3db7c9b9042549208a01566264c5c8b326e523a6334b267c922a2d5fd5d88546"},"schema_version":"1.0"},"canonical_sha256":"dae8898a2b56c64c40a8aa0cd75b7c3f3ea8b28b8fc62113654322c3f9c00e55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:06.624020Z","signature_b64":"N4xZIoUVJqjaOYt8DFDdsOvx4538mNRlK3mWBiTIaj4I9dPuRTpvB0GKLP8q1Qa4clsyirBz0LjXOcU14+mHAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dae8898a2b56c64c40a8aa0cd75b7c3f3ea8b28b8fc62113654322c3f9c00e55","last_reissued_at":"2026-05-18T04:14:06.623571Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:06.623571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.0801","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:14:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PSkvJnhFcuHpYRGkpz1E+7bicq9xVSl+NQ65b5nShe4j/3Ue03yP0plxpA9z6TToo0V3cXXJHoyzV5kNvkYGCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:25:20.362142Z"},"content_sha256":"c5cb2012f35b48536eb64c7c3ef120a4854c303dc681ff31e3cc5b7c1e1a0761","schema_version":"1.0","event_id":"sha256:c5cb2012f35b48536eb64c7c3ef120a4854c303dc681ff31e3cc5b7c1e1a0761"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3LUITCRLK3DEYQFIVIGNOW34H4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limit of Universality of Entropy-Area Law for Multi-Horizon Spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Hiromi Saida","submitted_at":"2011-09-05T05:30:47Z","abstract_excerpt":"It may be a common understanding at present that, once event horizons are in thermal equilibrium, the entropy-area law holds inevitably. However, no rigorous verification is given to such a very strong universality of the law in multi-horizon spacetimes. In this article, based on thermodynamically consistent and rigorous discussion, we investigate thermodynamics of Schwarzschild-deSitter spacetime in which the temperatures of two horizons are different. We recognize that three independent state variables exist in thermodynamics of the horizons. One of the three variables represents the effect "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0801","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:14:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Obk7xuIPwDymd5UMtH/gdDmVWVzULjIu/3in2DGtLKfHjnD1NFilrvVOMozHbEkH6tW+il5y9JrOvD3xAx4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:25:20.362504Z"},"content_sha256":"63daa33c293647718b9091a5a1f76f22b0d00a5688214476666394ccf98c91c6","schema_version":"1.0","event_id":"sha256:63daa33c293647718b9091a5a1f76f22b0d00a5688214476666394ccf98c91c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3LUITCRLK3DEYQFIVIGNOW34H4/bundle.json","state_url":"https://pith.science/pith/3LUITCRLK3DEYQFIVIGNOW34H4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3LUITCRLK3DEYQFIVIGNOW34H4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T07:25:20Z","links":{"resolver":"https://pith.science/pith/3LUITCRLK3DEYQFIVIGNOW34H4","bundle":"https://pith.science/pith/3LUITCRLK3DEYQFIVIGNOW34H4/bundle.json","state":"https://pith.science/pith/3LUITCRLK3DEYQFIVIGNOW34H4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3LUITCRLK3DEYQFIVIGNOW34H4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3LUITCRLK3DEYQFIVIGNOW34H4","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":"3db7c9b9042549208a01566264c5c8b326e523a6334b267c922a2d5fd5d88546","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-09-05T05:30:47Z","title_canon_sha256":"f46c46992efc15794924bf3336d0fc3ecd78d0ee2342c8089fb44845f0c50b83"},"schema_version":"1.0","source":{"id":"1109.0801","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0801","created_at":"2026-05-18T04:14:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0801v1","created_at":"2026-05-18T04:14:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0801","created_at":"2026-05-18T04:14:06Z"},{"alias_kind":"pith_short_12","alias_value":"3LUITCRLK3DE","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3LUITCRLK3DEYQFI","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3LUITCRL","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:63daa33c293647718b9091a5a1f76f22b0d00a5688214476666394ccf98c91c6","target":"graph","created_at":"2026-05-18T04:14:06Z","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":"It may be a common understanding at present that, once event horizons are in thermal equilibrium, the entropy-area law holds inevitably. However, no rigorous verification is given to such a very strong universality of the law in multi-horizon spacetimes. In this article, based on thermodynamically consistent and rigorous discussion, we investigate thermodynamics of Schwarzschild-deSitter spacetime in which the temperatures of two horizons are different. We recognize that three independent state variables exist in thermodynamics of the horizons. One of the three variables represents the effect ","authors_text":"Hiromi Saida","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-09-05T05:30:47Z","title":"Limit of Universality of Entropy-Area Law for Multi-Horizon Spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0801","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:c5cb2012f35b48536eb64c7c3ef120a4854c303dc681ff31e3cc5b7c1e1a0761","target":"record","created_at":"2026-05-18T04:14:06Z","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":"3db7c9b9042549208a01566264c5c8b326e523a6334b267c922a2d5fd5d88546","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-09-05T05:30:47Z","title_canon_sha256":"f46c46992efc15794924bf3336d0fc3ecd78d0ee2342c8089fb44845f0c50b83"},"schema_version":"1.0","source":{"id":"1109.0801","kind":"arxiv","version":1}},"canonical_sha256":"dae8898a2b56c64c40a8aa0cd75b7c3f3ea8b28b8fc62113654322c3f9c00e55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dae8898a2b56c64c40a8aa0cd75b7c3f3ea8b28b8fc62113654322c3f9c00e55","first_computed_at":"2026-05-18T04:14:06.623571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:06.623571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N4xZIoUVJqjaOYt8DFDdsOvx4538mNRlK3mWBiTIaj4I9dPuRTpvB0GKLP8q1Qa4clsyirBz0LjXOcU14+mHAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:06.624020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0801","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5cb2012f35b48536eb64c7c3ef120a4854c303dc681ff31e3cc5b7c1e1a0761","sha256:63daa33c293647718b9091a5a1f76f22b0d00a5688214476666394ccf98c91c6"],"state_sha256":"685dce8b8e752d775dff40c4f6a6c95fe0e5fd2b427b03df4466472d9dacf96d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PHJbR4/ff6l71iIeTINcLBrd/VW6dezbhVZVnH7TwiDnlfoqfxx3NjXTKkoDY+yt/pnD1OJx9e1lbGVb4JocBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T07:25:20.364841Z","bundle_sha256":"5419f1a85afddc31f28ae18fc6cea3c766d91434f81f972a66239faee943a17c"}}