{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:C6D7UI62RS5EVPMME5IEM7U3RO","short_pith_number":"pith:C6D7UI62","schema_version":"1.0","canonical_sha256":"1787fa23da8cba4abd8c2750467e9b8ba45c2b9a4fb4230765dd5e2b9898b683","source":{"kind":"arxiv","id":"2010.07837","version":1},"attestation_state":"computed","paper":{"title":"On Universal Constants of AdS Black Holes from Hawking-Page Phase Transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adil Belhaj, Anas El Balali, Emilio Torrente-Lujan, Wijdane El Hadri","submitted_at":"2020-10-15T15:56:08Z","abstract_excerpt":"We investigate the thermodynamic properties of the Hawking-Page phase transition of AdS black holes. We present evidence for the existence of two universal critical constants associated with the Hawking-Page (HP) and minimum black hole thermodynamical transition points. These constants are defined by C_S =\\frac{S_{HP}-S_{min}}{S_{min}} and C_T =\\frac{T_{HP}-T_{min}}{T_{min}} where S_{min}(S_{HP}) and T_{min}(T_{HP}) are the minimal (HP phase transition) entropy and temperature, respectively, below which no black hole can exist. For a large class of four dimensional non-rotating black holes, we"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2010.07837","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-10-15T15:56:08Z","cross_cats_sorted":[],"title_canon_sha256":"6d393a272ae87d93d16b8de2bef226f253e2b3e34dce45f634418cb787cd7c37","abstract_canon_sha256":"693a473ed26d0c55229d63ac50dad31db2f653844b76d6add799de4f3eca7cbf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:56:12.939987Z","signature_b64":"tlASne9eT+v8P42/8ANFG4vq1boK1+mGM99wC8BF9bI2WQ5zrfnl2NCOqB/gVB08GYN2np0JJTMeDzfVsYabDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1787fa23da8cba4abd8c2750467e9b8ba45c2b9a4fb4230765dd5e2b9898b683","last_reissued_at":"2026-07-05T01:56:12.939578Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:56:12.939578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Universal Constants of AdS Black Holes from Hawking-Page Phase Transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adil Belhaj, Anas El Balali, Emilio Torrente-Lujan, Wijdane El Hadri","submitted_at":"2020-10-15T15:56:08Z","abstract_excerpt":"We investigate the thermodynamic properties of the Hawking-Page phase transition of AdS black holes. We present evidence for the existence of two universal critical constants associated with the Hawking-Page (HP) and minimum black hole thermodynamical transition points. These constants are defined by C_S =\\frac{S_{HP}-S_{min}}{S_{min}} and C_T =\\frac{T_{HP}-T_{min}}{T_{min}} where S_{min}(S_{HP}) and T_{min}(T_{HP}) are the minimal (HP phase transition) entropy and temperature, respectively, below which no black hole can exist. For a large class of four dimensional non-rotating black holes, we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.07837","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/2010.07837/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2010.07837","created_at":"2026-07-05T01:56:12.939634+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.07837v1","created_at":"2026-07-05T01:56:12.939634+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.07837","created_at":"2026-07-05T01:56:12.939634+00:00"},{"alias_kind":"pith_short_12","alias_value":"C6D7UI62RS5E","created_at":"2026-07-05T01:56:12.939634+00:00"},{"alias_kind":"pith_short_16","alias_value":"C6D7UI62RS5EVPMM","created_at":"2026-07-05T01:56:12.939634+00:00"},{"alias_kind":"pith_short_8","alias_value":"C6D7UI62","created_at":"2026-07-05T01:56:12.939634+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.10680","citing_title":"Hawking--Page Universality, Thermodynamic Dipoles and Categorical Defects","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14213","citing_title":"On Computational CUDA Studies of Black Hole Shadows","ref_index":2,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/C6D7UI62RS5EVPMME5IEM7U3RO","json":"https://pith.science/pith/C6D7UI62RS5EVPMME5IEM7U3RO.json","graph_json":"https://pith.science/api/pith-number/C6D7UI62RS5EVPMME5IEM7U3RO/graph.json","events_json":"https://pith.science/api/pith-number/C6D7UI62RS5EVPMME5IEM7U3RO/events.json","paper":"https://pith.science/paper/C6D7UI62"},"agent_actions":{"view_html":"https://pith.science/pith/C6D7UI62RS5EVPMME5IEM7U3RO","download_json":"https://pith.science/pith/C6D7UI62RS5EVPMME5IEM7U3RO.json","view_paper":"https://pith.science/paper/C6D7UI62","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.07837&json=true","fetch_graph":"https://pith.science/api/pith-number/C6D7UI62RS5EVPMME5IEM7U3RO/graph.json","fetch_events":"https://pith.science/api/pith-number/C6D7UI62RS5EVPMME5IEM7U3RO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C6D7UI62RS5EVPMME5IEM7U3RO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C6D7UI62RS5EVPMME5IEM7U3RO/action/storage_attestation","attest_author":"https://pith.science/pith/C6D7UI62RS5EVPMME5IEM7U3RO/action/author_attestation","sign_citation":"https://pith.science/pith/C6D7UI62RS5EVPMME5IEM7U3RO/action/citation_signature","submit_replication":"https://pith.science/pith/C6D7UI62RS5EVPMME5IEM7U3RO/action/replication_record"}},"created_at":"2026-07-05T01:56:12.939634+00:00","updated_at":"2026-07-05T01:56:12.939634+00:00"}