{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:J5HK2G2G4HGCHS6IFAFZWM5C2Y","short_pith_number":"pith:J5HK2G2G","schema_version":"1.0","canonical_sha256":"4f4ead1b46e1cc23cbc8280b9b33a2d63f6c5575a043a2023fef188d26c236e1","source":{"kind":"arxiv","id":"2208.00012","version":1},"attestation_state":"computed","paper":{"title":"Multicritical Phase Transitions in Multiply Rotating Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jerry Wu, Robert B. Mann","submitted_at":"2022-07-29T18:00:02Z","abstract_excerpt":"We show that multi-critical points in which more than three phases coalesce are present in multiply rotating Kerr-AdS black holes in $d$-dimensions. We explicitly present a quadruple point for a triply rotating black hole in $d=8$ and a quintuple point for a quadruply rotating black hole in $d=10$. The maximal number of distinct phases $n$ is one larger than the maximal number of independent rotations, and we outline a method for obtaining the associated $n$-tuple point. Situations also exist where more than three phases merge at sub-maximal multi-critical points. Our results show that multi-c"},"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":"2208.00012","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-07-29T18:00:02Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"54b4189b7a278794c697677e4db983454802b398851db642e93d748a1dfb7e24","abstract_canon_sha256":"70e80ab38048ec97bd4e510bfe7b7c40c875885828516dd9be3b1c4183038451"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:48:36.158304Z","signature_b64":"3o9aTTdI0IzTW0AfEcnc7NRoO4EbAOClhREGnee732GZVJUZo1lXohTKQxvd+ZBwqaAuBpzC5KmYXRug2KngAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f4ead1b46e1cc23cbc8280b9b33a2d63f6c5575a043a2023fef188d26c236e1","last_reissued_at":"2026-07-05T05:48:36.157881Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:48:36.157881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multicritical Phase Transitions in Multiply Rotating Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jerry Wu, Robert B. Mann","submitted_at":"2022-07-29T18:00:02Z","abstract_excerpt":"We show that multi-critical points in which more than three phases coalesce are present in multiply rotating Kerr-AdS black holes in $d$-dimensions. We explicitly present a quadruple point for a triply rotating black hole in $d=8$ and a quintuple point for a quadruply rotating black hole in $d=10$. The maximal number of distinct phases $n$ is one larger than the maximal number of independent rotations, and we outline a method for obtaining the associated $n$-tuple point. Situations also exist where more than three phases merge at sub-maximal multi-critical points. Our results show that multi-c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.00012","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/2208.00012/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":"2208.00012","created_at":"2026-07-05T05:48:36.157938+00:00"},{"alias_kind":"arxiv_version","alias_value":"2208.00012v1","created_at":"2026-07-05T05:48:36.157938+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.00012","created_at":"2026-07-05T05:48:36.157938+00:00"},{"alias_kind":"pith_short_12","alias_value":"J5HK2G2G4HGC","created_at":"2026-07-05T05:48:36.157938+00:00"},{"alias_kind":"pith_short_16","alias_value":"J5HK2G2G4HGCHS6I","created_at":"2026-07-05T05:48:36.157938+00:00"},{"alias_kind":"pith_short_8","alias_value":"J5HK2G2G","created_at":"2026-07-05T05:48:36.157938+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.23198","citing_title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","ref_index":7,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J5HK2G2G4HGCHS6IFAFZWM5C2Y","json":"https://pith.science/pith/J5HK2G2G4HGCHS6IFAFZWM5C2Y.json","graph_json":"https://pith.science/api/pith-number/J5HK2G2G4HGCHS6IFAFZWM5C2Y/graph.json","events_json":"https://pith.science/api/pith-number/J5HK2G2G4HGCHS6IFAFZWM5C2Y/events.json","paper":"https://pith.science/paper/J5HK2G2G"},"agent_actions":{"view_html":"https://pith.science/pith/J5HK2G2G4HGCHS6IFAFZWM5C2Y","download_json":"https://pith.science/pith/J5HK2G2G4HGCHS6IFAFZWM5C2Y.json","view_paper":"https://pith.science/paper/J5HK2G2G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2208.00012&json=true","fetch_graph":"https://pith.science/api/pith-number/J5HK2G2G4HGCHS6IFAFZWM5C2Y/graph.json","fetch_events":"https://pith.science/api/pith-number/J5HK2G2G4HGCHS6IFAFZWM5C2Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J5HK2G2G4HGCHS6IFAFZWM5C2Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J5HK2G2G4HGCHS6IFAFZWM5C2Y/action/storage_attestation","attest_author":"https://pith.science/pith/J5HK2G2G4HGCHS6IFAFZWM5C2Y/action/author_attestation","sign_citation":"https://pith.science/pith/J5HK2G2G4HGCHS6IFAFZWM5C2Y/action/citation_signature","submit_replication":"https://pith.science/pith/J5HK2G2G4HGCHS6IFAFZWM5C2Y/action/replication_record"}},"created_at":"2026-07-05T05:48:36.157938+00:00","updated_at":"2026-07-05T05:48:36.157938+00:00"}