{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:JXKOVNUYBHULVAWRYS5HXNDTQJ","short_pith_number":"pith:JXKOVNUY","canonical_record":{"source":{"id":"2207.07905","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-16T11:24:12Z","cross_cats_sorted":[],"title_canon_sha256":"b7caffa309dc6b207be1958fffd18ce38eeb8801b4f188c6f5eaf3c2f3101f8b","abstract_canon_sha256":"f05455f42d90d86114d66483814f2c5196767dd742a9fedcdc041c3339f70142"},"schema_version":"1.0"},"canonical_sha256":"4dd4eab69809e8ba82d1c4ba7bb473824702b44e7c64ccd98ad05ee82de3402c","source":{"kind":"arxiv","id":"2207.07905","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.07905","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"arxiv_version","alias_value":"2207.07905v1","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.07905","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"pith_short_12","alias_value":"JXKOVNUYBHUL","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"pith_short_16","alias_value":"JXKOVNUYBHULVAWR","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"pith_short_8","alias_value":"JXKOVNUY","created_at":"2026-07-05T05:22:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:JXKOVNUYBHULVAWRYS5HXNDTQJ","target":"record","payload":{"canonical_record":{"source":{"id":"2207.07905","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-16T11:24:12Z","cross_cats_sorted":[],"title_canon_sha256":"b7caffa309dc6b207be1958fffd18ce38eeb8801b4f188c6f5eaf3c2f3101f8b","abstract_canon_sha256":"f05455f42d90d86114d66483814f2c5196767dd742a9fedcdc041c3339f70142"},"schema_version":"1.0"},"canonical_sha256":"4dd4eab69809e8ba82d1c4ba7bb473824702b44e7c64ccd98ad05ee82de3402c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:22:51.086688Z","signature_b64":"OSe4dsjiqAQlk1OtMLAp8/cEYFb9y5Cnmz3mrUlbI1WGRqcKV8jCiJF6iltj16lPkU31SiErpqbdoZd2hUiIBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4dd4eab69809e8ba82d1c4ba7bb473824702b44e7c64ccd98ad05ee82de3402c","last_reissued_at":"2026-07-05T05:22:51.086166Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:22:51.086166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.07905","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":"2026-07-05T05:22:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vBua0C19S75XcxPW9aQ0V7Dm+iJBzry0DPhPJ/ZtysNeYzFgao0BP1RJgWlSW9n9gx1zIKmFR9qQjUyekTMdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T19:17:05.606540Z"},"content_sha256":"6a80fcc66df8c9ae8d984495995659351e0e15c512cb059ad74e0fc64008495d","schema_version":"1.0","event_id":"sha256:6a80fcc66df8c9ae8d984495995659351e0e15c512cb059ad74e0fc64008495d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:JXKOVNUYBHULVAWRYS5HXNDTQJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Alternative entropies and consistent black hole thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Sergei D. Odintsov, Shin'ichi Nojiri, Valerio Faraoni","submitted_at":"2022-07-16T11:24:12Z","abstract_excerpt":"While the Bekenstein-Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (R\\'enyi, Tsallis, and generalized constructs) abound in the literature. We explore conditions under which they are part of a consistent horizon thermodynamics for certain classes of modified gravity black holes. We provide examples in which black hole masses and temperatures going hand-in-hand with these alternative entropies coincide with their usual counterparts associated with the Bekenstein-Hawking entropy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.07905","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.07905/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:22:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"72teVTDuTW1W5+WQPuX6kVdK3q7Vqc8HcOwbY1xJ/JutocLyoDoukQPDfKrEfiuhlr7zvfzb1OGMuA3Dwu+OBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T19:17:05.606925Z"},"content_sha256":"3fb0a383cf96ac6048fbe53d35c09fa96a615db132719400a3a9e3636b9e5c85","schema_version":"1.0","event_id":"sha256:3fb0a383cf96ac6048fbe53d35c09fa96a615db132719400a3a9e3636b9e5c85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JXKOVNUYBHULVAWRYS5HXNDTQJ/bundle.json","state_url":"https://pith.science/pith/JXKOVNUYBHULVAWRYS5HXNDTQJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JXKOVNUYBHULVAWRYS5HXNDTQJ/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":"2026-08-17T19:17:05Z","links":{"resolver":"https://pith.science/pith/JXKOVNUYBHULVAWRYS5HXNDTQJ","bundle":"https://pith.science/pith/JXKOVNUYBHULVAWRYS5HXNDTQJ/bundle.json","state":"https://pith.science/pith/JXKOVNUYBHULVAWRYS5HXNDTQJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JXKOVNUYBHULVAWRYS5HXNDTQJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:JXKOVNUYBHULVAWRYS5HXNDTQJ","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":"f05455f42d90d86114d66483814f2c5196767dd742a9fedcdc041c3339f70142","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-16T11:24:12Z","title_canon_sha256":"b7caffa309dc6b207be1958fffd18ce38eeb8801b4f188c6f5eaf3c2f3101f8b"},"schema_version":"1.0","source":{"id":"2207.07905","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.07905","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"arxiv_version","alias_value":"2207.07905v1","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.07905","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"pith_short_12","alias_value":"JXKOVNUYBHUL","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"pith_short_16","alias_value":"JXKOVNUYBHULVAWR","created_at":"2026-07-05T05:22:51Z"},{"alias_kind":"pith_short_8","alias_value":"JXKOVNUY","created_at":"2026-07-05T05:22:51Z"}],"graph_snapshots":[{"event_id":"sha256:3fb0a383cf96ac6048fbe53d35c09fa96a615db132719400a3a9e3636b9e5c85","target":"graph","created_at":"2026-07-05T05:22:51Z","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/2207.07905/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While the Bekenstein-Hawking entropy is the unique notion of entropy that makes classical black hole thermodynamics consistent, alternative entropy notions (R\\'enyi, Tsallis, and generalized constructs) abound in the literature. We explore conditions under which they are part of a consistent horizon thermodynamics for certain classes of modified gravity black holes. We provide examples in which black hole masses and temperatures going hand-in-hand with these alternative entropies coincide with their usual counterparts associated with the Bekenstein-Hawking entropy.","authors_text":"Sergei D. Odintsov, Shin'ichi Nojiri, Valerio Faraoni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-16T11:24:12Z","title":"Alternative entropies and consistent black hole thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.07905","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":"sha256:6a80fcc66df8c9ae8d984495995659351e0e15c512cb059ad74e0fc64008495d","target":"record","created_at":"2026-07-05T05:22:51Z","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":"f05455f42d90d86114d66483814f2c5196767dd742a9fedcdc041c3339f70142","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-16T11:24:12Z","title_canon_sha256":"b7caffa309dc6b207be1958fffd18ce38eeb8801b4f188c6f5eaf3c2f3101f8b"},"schema_version":"1.0","source":{"id":"2207.07905","kind":"arxiv","version":1}},"canonical_sha256":"4dd4eab69809e8ba82d1c4ba7bb473824702b44e7c64ccd98ad05ee82de3402c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4dd4eab69809e8ba82d1c4ba7bb473824702b44e7c64ccd98ad05ee82de3402c","first_computed_at":"2026-07-05T05:22:51.086166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:22:51.086166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OSe4dsjiqAQlk1OtMLAp8/cEYFb9y5Cnmz3mrUlbI1WGRqcKV8jCiJF6iltj16lPkU31SiErpqbdoZd2hUiIBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:22:51.086688Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.07905","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a80fcc66df8c9ae8d984495995659351e0e15c512cb059ad74e0fc64008495d","sha256:3fb0a383cf96ac6048fbe53d35c09fa96a615db132719400a3a9e3636b9e5c85"],"state_sha256":"30f3b7438cd5739488d46a47a9a1fa59ffd5baca0c81388734501b43b1f08db5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"40pGr+hPkL6KNPe9ebl6l3qrj+gJc8TEzYQxM/Nvtce8jDW3k12AjmQ9A4/i4SbsW23fU3kKzeZT1jOI8ItnCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T19:17:05.609339Z","bundle_sha256":"3d2588eb6af756adb2a24272c4c48832087644ac61ea2ea4d64ed08da2b86a43"}}