{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:M2YZCHGPG773AFRY3QJA377CKO","short_pith_number":"pith:M2YZCHGP","canonical_record":{"source":{"id":"2005.00747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-05-02T08:22:23Z","cross_cats_sorted":[],"title_canon_sha256":"01c9386a174e4f0fb3e5b715eaeb4aa1a473b63c3686e64e0572af7fa4935ff2","abstract_canon_sha256":"8e876260a6a75b2f9d85177f18b572f87c61edd7a24005d974927e71f6bf4bf5"},"schema_version":"1.0"},"canonical_sha256":"66b1911ccf37ffb01638dc120dffe253b31aa2a97f57a9f46d702c28214bf650","source":{"kind":"arxiv","id":"2005.00747","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.00747","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"arxiv_version","alias_value":"2005.00747v1","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.00747","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"pith_short_12","alias_value":"M2YZCHGPG773","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"pith_short_16","alias_value":"M2YZCHGPG773AFRY","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"pith_short_8","alias_value":"M2YZCHGP","created_at":"2026-07-05T01:00:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:M2YZCHGPG773AFRY3QJA377CKO","target":"record","payload":{"canonical_record":{"source":{"id":"2005.00747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-05-02T08:22:23Z","cross_cats_sorted":[],"title_canon_sha256":"01c9386a174e4f0fb3e5b715eaeb4aa1a473b63c3686e64e0572af7fa4935ff2","abstract_canon_sha256":"8e876260a6a75b2f9d85177f18b572f87c61edd7a24005d974927e71f6bf4bf5"},"schema_version":"1.0"},"canonical_sha256":"66b1911ccf37ffb01638dc120dffe253b31aa2a97f57a9f46d702c28214bf650","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:00:00.318994Z","signature_b64":"3MlfQCwnwbIq+XSWCmAZ9IxVT2nZnX1ZkrvUkDx/xGg0TAe2tC0JnbZgdjrymP9bZ/gcLejDcsBol0pOolMXDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66b1911ccf37ffb01638dc120dffe253b31aa2a97f57a9f46d702c28214bf650","last_reissued_at":"2026-07-05T01:00:00.318544Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:00:00.318544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2005.00747","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":"2026-07-05T01:00:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pcZ0g3HXCuW3c3Eyi1tCQ8nytcVpeckArM0xlwXOh9fLL2voZiFNwcpc4m67wv4RawXYCkMhkBNu/DA25XE9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T10:08:02.861559Z"},"content_sha256":"a2581eaa838d9b1ddc905dbb30e960e6654c09f42b306ecd519e8c379dae1fd8","schema_version":"1.0","event_id":"sha256:a2581eaa838d9b1ddc905dbb30e960e6654c09f42b306ecd519e8c379dae1fd8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:M2YZCHGPG773AFRY3QJA377CKO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal thermodynamic extremality relations for charged AdS black hole surrounded by quintessence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jun Tao, Qiuhong Chen, Wei Hong","submitted_at":"2020-05-02T08:22:23Z","abstract_excerpt":"The perturbation correction of general relativity has obtained the general relationship between entropy and extremality. The relation was found to exactly hold for the charged AdS black hole, and extended to the rotating and massive gravity black holes. In this paper, We confirm the universal relation for the four dimensional RN-AdS black hole surrounded by the quintessence, and find a new extremality relation between black hole mass and the normalization factor $a$ related to the density of quintessence. Besides, we also find that when the black hole entropy increases, the correction constant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.00747","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/2005.00747/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":"2026-07-05T01:00:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nYRm1jpTD1Z6gGKyDmSfJKPfAAJCZZupA8Q2rlXD/nHrL525xE9irQyjjQQFYPDGOYMM03+tc43F8w6lKOLhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T10:08:02.861973Z"},"content_sha256":"52f370fe34ee689bd2efbffb303addb336a8a89da735b6d91b6d73a977f12bba","schema_version":"1.0","event_id":"sha256:52f370fe34ee689bd2efbffb303addb336a8a89da735b6d91b6d73a977f12bba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M2YZCHGPG773AFRY3QJA377CKO/bundle.json","state_url":"https://pith.science/pith/M2YZCHGPG773AFRY3QJA377CKO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M2YZCHGPG773AFRY3QJA377CKO/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":"2026-07-05T10:08:02Z","links":{"resolver":"https://pith.science/pith/M2YZCHGPG773AFRY3QJA377CKO","bundle":"https://pith.science/pith/M2YZCHGPG773AFRY3QJA377CKO/bundle.json","state":"https://pith.science/pith/M2YZCHGPG773AFRY3QJA377CKO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M2YZCHGPG773AFRY3QJA377CKO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:M2YZCHGPG773AFRY3QJA377CKO","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":"8e876260a6a75b2f9d85177f18b572f87c61edd7a24005d974927e71f6bf4bf5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-05-02T08:22:23Z","title_canon_sha256":"01c9386a174e4f0fb3e5b715eaeb4aa1a473b63c3686e64e0572af7fa4935ff2"},"schema_version":"1.0","source":{"id":"2005.00747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.00747","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"arxiv_version","alias_value":"2005.00747v1","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.00747","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"pith_short_12","alias_value":"M2YZCHGPG773","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"pith_short_16","alias_value":"M2YZCHGPG773AFRY","created_at":"2026-07-05T01:00:00Z"},{"alias_kind":"pith_short_8","alias_value":"M2YZCHGP","created_at":"2026-07-05T01:00:00Z"}],"graph_snapshots":[{"event_id":"sha256:52f370fe34ee689bd2efbffb303addb336a8a89da735b6d91b6d73a977f12bba","target":"graph","created_at":"2026-07-05T01:00:00Z","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/2005.00747/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The perturbation correction of general relativity has obtained the general relationship between entropy and extremality. The relation was found to exactly hold for the charged AdS black hole, and extended to the rotating and massive gravity black holes. In this paper, We confirm the universal relation for the four dimensional RN-AdS black hole surrounded by the quintessence, and find a new extremality relation between black hole mass and the normalization factor $a$ related to the density of quintessence. Besides, we also find that when the black hole entropy increases, the correction constant","authors_text":"Jun Tao, Qiuhong Chen, Wei Hong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-05-02T08:22:23Z","title":"Universal thermodynamic extremality relations for charged AdS black hole surrounded by quintessence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.00747","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:a2581eaa838d9b1ddc905dbb30e960e6654c09f42b306ecd519e8c379dae1fd8","target":"record","created_at":"2026-07-05T01:00:00Z","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":"8e876260a6a75b2f9d85177f18b572f87c61edd7a24005d974927e71f6bf4bf5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-05-02T08:22:23Z","title_canon_sha256":"01c9386a174e4f0fb3e5b715eaeb4aa1a473b63c3686e64e0572af7fa4935ff2"},"schema_version":"1.0","source":{"id":"2005.00747","kind":"arxiv","version":1}},"canonical_sha256":"66b1911ccf37ffb01638dc120dffe253b31aa2a97f57a9f46d702c28214bf650","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66b1911ccf37ffb01638dc120dffe253b31aa2a97f57a9f46d702c28214bf650","first_computed_at":"2026-07-05T01:00:00.318544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:00:00.318544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3MlfQCwnwbIq+XSWCmAZ9IxVT2nZnX1ZkrvUkDx/xGg0TAe2tC0JnbZgdjrymP9bZ/gcLejDcsBol0pOolMXDw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:00:00.318994Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.00747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2581eaa838d9b1ddc905dbb30e960e6654c09f42b306ecd519e8c379dae1fd8","sha256:52f370fe34ee689bd2efbffb303addb336a8a89da735b6d91b6d73a977f12bba"],"state_sha256":"41a209f803db7de2f8a7fecb6e0be4b5bf8e45104e74d2aa11b6a46185fa9fd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1KaGzRwqBXQixmDDimSe238c4Q04NhPVVB9kaDUKhkB9QctC+dD7N/k2XaZlKzo7PKiXdbqVCJPyUNf+E0NGCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T10:08:02.863890Z","bundle_sha256":"96fe284d9b472af6fdc826237906056e449954b7d6258765ccbbfa9427e421c8"}}