{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:P2B3GJTRXH6R56GEAP33EVOM4U","short_pith_number":"pith:P2B3GJTR","canonical_record":{"source":{"id":"2409.12747","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T13:13:48Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ba616a25dcd0a7b19ccf552c73661fa26f8915d362c9718c03cd66a63f42cbe9","abstract_canon_sha256":"6245f903f84f8c02991f43618af889367b8490618480cbf9ebd163c275dbde77"},"schema_version":"1.0"},"canonical_sha256":"7e83b32671b9fd1ef8c403f7b255cce5273d25b975232871bc96f463dc8620d9","source":{"kind":"arxiv","id":"2409.12747","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.12747","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"arxiv_version","alias_value":"2409.12747v2","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.12747","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"pith_short_12","alias_value":"P2B3GJTRXH6R","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"pith_short_16","alias_value":"P2B3GJTRXH6R56GE","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"pith_short_8","alias_value":"P2B3GJTR","created_at":"2026-07-05T09:42:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:P2B3GJTRXH6R56GEAP33EVOM4U","target":"record","payload":{"canonical_record":{"source":{"id":"2409.12747","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T13:13:48Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ba616a25dcd0a7b19ccf552c73661fa26f8915d362c9718c03cd66a63f42cbe9","abstract_canon_sha256":"6245f903f84f8c02991f43618af889367b8490618480cbf9ebd163c275dbde77"},"schema_version":"1.0"},"canonical_sha256":"7e83b32671b9fd1ef8c403f7b255cce5273d25b975232871bc96f463dc8620d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:42:30.343764Z","signature_b64":"PHGnZzi2BDG3RQICTJF8RSo2ZrmAi4nDgQc6QtItERdHIiTEHAIIg/dazAvOGYyRXzDkhgYGVoX9ZG1N34R7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e83b32671b9fd1ef8c403f7b255cce5273d25b975232871bc96f463dc8620d9","last_reissued_at":"2026-07-05T09:42:30.343267Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:42:30.343267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.12747","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:42:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rvXGeTd6v+DTxsBEd9pDVxXmg+QBr1XuCaAy0rzg2UOEYCHh95ncuxw42kAAQrKZY7ZLWp7P0cXHtznAKtAjCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:42:56.595940Z"},"content_sha256":"5a7e4f26bd4df9239dd86cbfc67f543255289fa4c20b7a26c24ded367cd6a538","schema_version":"1.0","event_id":"sha256:5a7e4f26bd4df9239dd86cbfc67f543255289fa4c20b7a26c24ded367cd6a538"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:P2B3GJTRXH6R56GEAP33EVOM4U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal thermodynamic topological classes of rotating black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Di Wu, Wentao Liu, Xiao-Dan Zhu","submitted_at":"2024-09-19T13:13:48Z","abstract_excerpt":"In a recent study, Wei et al. [Phys. Rev. D 110, L081501 (2024)] proposed a universal classification scheme that interprets black hole solutions as topological defects within the thermodynamic parameter space, and then divides black hole solutions into four distinct classes, denoted as $W^{1-}$, $W^{0+}$, $W^{0-}$, and $W^{1+}$, offering insights into deeper aspects of black hole thermodynamics and gravity. In this paper, we investigate the universal thermodynamic topological classification of the singly rotating Kerr black holes in all dimensions, as well as the four-dimensional Kerr-Newman b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.12747","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/2409.12747/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":"2026-07-05T09:42:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WJPfbSsGP1P7f4hl0X8eBiGViDvKL7fehgQytJk/wbTJaBs4b/dqcyQFVkLubk+V77jbYCLl/V0sAPXikIWECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:42:56.596438Z"},"content_sha256":"0a7de350dd07b2b0e31635ed9fdb8f6a62835f20987a5bcbd8f8dd02c2df21d1","schema_version":"1.0","event_id":"sha256:0a7de350dd07b2b0e31635ed9fdb8f6a62835f20987a5bcbd8f8dd02c2df21d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P2B3GJTRXH6R56GEAP33EVOM4U/bundle.json","state_url":"https://pith.science/pith/P2B3GJTRXH6R56GEAP33EVOM4U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P2B3GJTRXH6R56GEAP33EVOM4U/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":"2026-08-09T00:42:56Z","links":{"resolver":"https://pith.science/pith/P2B3GJTRXH6R56GEAP33EVOM4U","bundle":"https://pith.science/pith/P2B3GJTRXH6R56GEAP33EVOM4U/bundle.json","state":"https://pith.science/pith/P2B3GJTRXH6R56GEAP33EVOM4U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P2B3GJTRXH6R56GEAP33EVOM4U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:P2B3GJTRXH6R56GEAP33EVOM4U","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":"6245f903f84f8c02991f43618af889367b8490618480cbf9ebd163c275dbde77","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T13:13:48Z","title_canon_sha256":"ba616a25dcd0a7b19ccf552c73661fa26f8915d362c9718c03cd66a63f42cbe9"},"schema_version":"1.0","source":{"id":"2409.12747","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.12747","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"arxiv_version","alias_value":"2409.12747v2","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.12747","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"pith_short_12","alias_value":"P2B3GJTRXH6R","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"pith_short_16","alias_value":"P2B3GJTRXH6R56GE","created_at":"2026-07-05T09:42:30Z"},{"alias_kind":"pith_short_8","alias_value":"P2B3GJTR","created_at":"2026-07-05T09:42:30Z"}],"graph_snapshots":[{"event_id":"sha256:0a7de350dd07b2b0e31635ed9fdb8f6a62835f20987a5bcbd8f8dd02c2df21d1","target":"graph","created_at":"2026-07-05T09:42:30Z","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/2409.12747/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a recent study, Wei et al. [Phys. Rev. D 110, L081501 (2024)] proposed a universal classification scheme that interprets black hole solutions as topological defects within the thermodynamic parameter space, and then divides black hole solutions into four distinct classes, denoted as $W^{1-}$, $W^{0+}$, $W^{0-}$, and $W^{1+}$, offering insights into deeper aspects of black hole thermodynamics and gravity. In this paper, we investigate the universal thermodynamic topological classification of the singly rotating Kerr black holes in all dimensions, as well as the four-dimensional Kerr-Newman b","authors_text":"Di Wu, Wentao Liu, Xiao-Dan Zhu","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T13:13:48Z","title":"Universal thermodynamic topological classes of rotating black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.12747","kind":"arxiv","version":2},"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":"sha256:5a7e4f26bd4df9239dd86cbfc67f543255289fa4c20b7a26c24ded367cd6a538","target":"record","created_at":"2026-07-05T09:42:30Z","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":"6245f903f84f8c02991f43618af889367b8490618480cbf9ebd163c275dbde77","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T13:13:48Z","title_canon_sha256":"ba616a25dcd0a7b19ccf552c73661fa26f8915d362c9718c03cd66a63f42cbe9"},"schema_version":"1.0","source":{"id":"2409.12747","kind":"arxiv","version":2}},"canonical_sha256":"7e83b32671b9fd1ef8c403f7b255cce5273d25b975232871bc96f463dc8620d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e83b32671b9fd1ef8c403f7b255cce5273d25b975232871bc96f463dc8620d9","first_computed_at":"2026-07-05T09:42:30.343267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:42:30.343267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PHGnZzi2BDG3RQICTJF8RSo2ZrmAi4nDgQc6QtItERdHIiTEHAIIg/dazAvOGYyRXzDkhgYGVoX9ZG1N34R7AA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:42:30.343764Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.12747","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a7e4f26bd4df9239dd86cbfc67f543255289fa4c20b7a26c24ded367cd6a538","sha256:0a7de350dd07b2b0e31635ed9fdb8f6a62835f20987a5bcbd8f8dd02c2df21d1"],"state_sha256":"fe5715e81a619fcf4bfdf27fe91dee91dd567e81bc9c578ff5a486c54c68ea08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qCvS4us74LtJiYn8LiAHt5kLCh4QnnUr72snDM1geIBAtD9BAzOwU1jr8ReR/wai8IidKxMl1biOL3DXWsXuCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T00:42:56.601329Z","bundle_sha256":"7099d1f5b960d9005981fc9496da42066d73327c3113cca728564e575ada1715"}}