{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:SJUWFG5B6LJAZQEJUQVS5EPIOJ","short_pith_number":"pith:SJUWFG5B","schema_version":"1.0","canonical_sha256":"9269629ba1f2d20cc089a42b2e91e8727c0e57a1a27f1525503c87828a34791d","source":{"kind":"arxiv","id":"2507.10028","version":2},"attestation_state":"computed","paper":{"title":"Universal exponents of black hole phase transition at zero-temperature limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Shan-Ping Wu, Shao-Wen Wei, Yu-Peng Zhang, Yu-Xiao Liu","submitted_at":"2025-07-14T08:07:34Z","abstract_excerpt":"In this work, we investigate the universal thermodynamic characteristics of black hole phase transitions at the zero-temperature limit. Our results reveal that, far below the critical point, the near zero-temperature region also exhibits universal properties. By employing the Maxwell equal area law and analyzing the coexistence curve of black hole phase transitions, we derive three universal exponents: $\\alpha=1$, $\\beta=2$, and $\\gamma=d-3$, where $d$ represents the spacetime dimension number. Furthermore, additional studies show that these exponents remain unchanged regardless of the black h"},"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":"2507.10028","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-07-14T08:07:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"71776da89654f4f9506db6efe329cbeffba8961671c68079b4e9bb5690f0ff21","abstract_canon_sha256":"932a2c31b3118480988ee512d0e5120a53d0a582f391e390b11dd9622d9c1c77"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:48:05.342069Z","signature_b64":"swZMvpPrCz7m0jMptdtIwbOKX80Tsg0IKHh7FqPvQ1QLstAQsnGR/ArvMcH4mKGZ5dAE8n8ZgPdn2VLB4N+XDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9269629ba1f2d20cc089a42b2e91e8727c0e57a1a27f1525503c87828a34791d","last_reissued_at":"2026-07-05T11:48:05.341347Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:48:05.341347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal exponents of black hole phase transition at zero-temperature limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Shan-Ping Wu, Shao-Wen Wei, Yu-Peng Zhang, Yu-Xiao Liu","submitted_at":"2025-07-14T08:07:34Z","abstract_excerpt":"In this work, we investigate the universal thermodynamic characteristics of black hole phase transitions at the zero-temperature limit. Our results reveal that, far below the critical point, the near zero-temperature region also exhibits universal properties. By employing the Maxwell equal area law and analyzing the coexistence curve of black hole phase transitions, we derive three universal exponents: $\\alpha=1$, $\\beta=2$, and $\\gamma=d-3$, where $d$ represents the spacetime dimension number. Furthermore, additional studies show that these exponents remain unchanged regardless of the black h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10028","kind":"arxiv","version":2},"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/2507.10028/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":"2507.10028","created_at":"2026-07-05T11:48:05.341477+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.10028v2","created_at":"2026-07-05T11:48:05.341477+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10028","created_at":"2026-07-05T11:48:05.341477+00:00"},{"alias_kind":"pith_short_12","alias_value":"SJUWFG5B6LJA","created_at":"2026-07-05T11:48:05.341477+00:00"},{"alias_kind":"pith_short_16","alias_value":"SJUWFG5B6LJAZQEJ","created_at":"2026-07-05T11:48:05.341477+00:00"},{"alias_kind":"pith_short_8","alias_value":"SJUWFG5B","created_at":"2026-07-05T11:48:05.341477+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ","json":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ.json","graph_json":"https://pith.science/api/pith-number/SJUWFG5B6LJAZQEJUQVS5EPIOJ/graph.json","events_json":"https://pith.science/api/pith-number/SJUWFG5B6LJAZQEJUQVS5EPIOJ/events.json","paper":"https://pith.science/paper/SJUWFG5B"},"agent_actions":{"view_html":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ","download_json":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ.json","view_paper":"https://pith.science/paper/SJUWFG5B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.10028&json=true","fetch_graph":"https://pith.science/api/pith-number/SJUWFG5B6LJAZQEJUQVS5EPIOJ/graph.json","fetch_events":"https://pith.science/api/pith-number/SJUWFG5B6LJAZQEJUQVS5EPIOJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/action/storage_attestation","attest_author":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/action/author_attestation","sign_citation":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/action/citation_signature","submit_replication":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/action/replication_record"}},"created_at":"2026-07-05T11:48:05.341477+00:00","updated_at":"2026-07-05T11:48:05.341477+00:00"}