{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZXELLTT6WJWXP74DOXUPIMQOVF","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":"77401ca2ac9db8cc6d6fd0a29ed6ab8a7ea357a25580c6d424b4f7fab12c9a28","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-31T19:00:01Z","title_canon_sha256":"bfc83c458baa0e52ee30f43f85bdc4170d2a84c9514dbe9f763d865eed947e16"},"schema_version":"1.0","source":{"id":"2402.00106","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.00106","created_at":"2026-07-05T08:37:51Z"},{"alias_kind":"arxiv_version","alias_value":"2402.00106v4","created_at":"2026-07-05T08:37:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.00106","created_at":"2026-07-05T08:37:51Z"},{"alias_kind":"pith_short_12","alias_value":"ZXELLTT6WJWX","created_at":"2026-07-05T08:37:51Z"},{"alias_kind":"pith_short_16","alias_value":"ZXELLTT6WJWXP74D","created_at":"2026-07-05T08:37:51Z"},{"alias_kind":"pith_short_8","alias_value":"ZXELLTT6","created_at":"2026-07-05T08:37:51Z"}],"graph_snapshots":[{"event_id":"sha256:f7872897a2372673730a65faf934afd17f90809bd64179cc2e02d0c8f9170338","target":"graph","created_at":"2026-07-05T08:37:51Z","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/2402.00106/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we investigate, in the framework of the topological approach to black hole thermodynamics, using the generalized off-shell Helmholtz free energy, the topological numbers of the static multi-charge AdS black holes in four- and five-dimensional gauged supergravities. We find that the topological number of the static-charged AdS black holes in four-dimensional Kaluza-Klein (K-K) gauged supergravity theory is $W = 0$, while that of the static-charged AdS black holes in four-dimensional gauged $-iX^0X^1$-supergravity and STU gauged supergravity theories, and five-dimensional Einstein","authors_text":"Di Wu, Qing-Quan Jiang, Shuang-Yong Gu, Shu-Zheng Yang, Xiao-Dan Zhu","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-31T19:00:01Z","title":"Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.00106","kind":"arxiv","version":4},"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":"sha256:23609efd5eb9b0d662eb66c3af606360c94be32c875199aaf7caf13ff31264ea","target":"record","created_at":"2026-07-05T08:37:51Z","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":"77401ca2ac9db8cc6d6fd0a29ed6ab8a7ea357a25580c6d424b4f7fab12c9a28","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-01-31T19:00:01Z","title_canon_sha256":"bfc83c458baa0e52ee30f43f85bdc4170d2a84c9514dbe9f763d865eed947e16"},"schema_version":"1.0","source":{"id":"2402.00106","kind":"arxiv","version":4}},"canonical_sha256":"cdc8b5ce7eb26d77ff8375e8f4320ea96f1b2c4692a9e7da3cb8bd5d07cd1839","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdc8b5ce7eb26d77ff8375e8f4320ea96f1b2c4692a9e7da3cb8bd5d07cd1839","first_computed_at":"2026-07-05T08:37:51.114757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:37:51.114757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UaZ6kGJDZWzsj28Z8tkXowNPBcOdKlCGRbgW9hYqww7JbUXIlYfDlpOLl3cGPc5ewblSDh+br/rOScVnVLRmCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:37:51.115291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.00106","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23609efd5eb9b0d662eb66c3af606360c94be32c875199aaf7caf13ff31264ea","sha256:f7872897a2372673730a65faf934afd17f90809bd64179cc2e02d0c8f9170338"],"state_sha256":"b058287f769a8dd6fa4f3ea5ff8e493ff68dc646f9c5c9124f2628c51169a26a"}