{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:HZHZKWURTKTHESGIUEO5GORQBQ","short_pith_number":"pith:HZHZKWUR","schema_version":"1.0","canonical_sha256":"3e4f955a919aa67248c8a11dd33a300c2f3f2fb8d6aead4039fbb39f1192945c","source":{"kind":"arxiv","id":"2406.12704","version":2},"attestation_state":"computed","paper":{"title":"Quantum Kerr Black Hole from Matrix Theory of Quantum Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Chong-Sun Chu","submitted_at":"2024-06-18T15:15:55Z","abstract_excerpt":"Recently, a quantum mechanical theory of quantum spaces described by a large $N$ non-commutative coordinates is proposed as a model for quantum gravity [1]. In this paper, we construct Kerr black hole as a rotating noncommutative geometry solution of this theory. Due to rotation, the fuzzy sphere is deformed into a fuzzy ellipsoid, which matches exactly the outer horizon of the Kerr black hole in the Boyer-Lindquist coordinates. Together with a half-filled Fermi sea, the fuzzy solution reproduces the Bekenstein-Hawking entropy as well as the mass and angular momentum of the Kerr black hole. Th"},"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":"2406.12704","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-18T15:15:55Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"b5793e5bc6a817982df2215533a723e8dcc0dfe8607055f8db655cfcbf7f0594","abstract_canon_sha256":"01741064ec532ed198c02d1df3049320b15425dd1229ff596234a1f1e59c54ae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:52:13.428947Z","signature_b64":"0RvCMjq24cdN5p12YsasEN8xv9Pv7vW+KgIzSFIykG4HVd3OA2SlJIG0Xn1vC08FG0KXCCCpqgqBpESx1ldlCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e4f955a919aa67248c8a11dd33a300c2f3f2fb8d6aead4039fbb39f1192945c","last_reissued_at":"2026-07-05T11:52:13.428566Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:52:13.428566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Kerr Black Hole from Matrix Theory of Quantum Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Chong-Sun Chu","submitted_at":"2024-06-18T15:15:55Z","abstract_excerpt":"Recently, a quantum mechanical theory of quantum spaces described by a large $N$ non-commutative coordinates is proposed as a model for quantum gravity [1]. In this paper, we construct Kerr black hole as a rotating noncommutative geometry solution of this theory. Due to rotation, the fuzzy sphere is deformed into a fuzzy ellipsoid, which matches exactly the outer horizon of the Kerr black hole in the Boyer-Lindquist coordinates. Together with a half-filled Fermi sea, the fuzzy solution reproduces the Bekenstein-Hawking entropy as well as the mass and angular momentum of the Kerr black hole. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.12704","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/2406.12704/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":"2406.12704","created_at":"2026-07-05T11:52:13.428619+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.12704v2","created_at":"2026-07-05T11:52:13.428619+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.12704","created_at":"2026-07-05T11:52:13.428619+00:00"},{"alias_kind":"pith_short_12","alias_value":"HZHZKWURTKTH","created_at":"2026-07-05T11:52:13.428619+00:00"},{"alias_kind":"pith_short_16","alias_value":"HZHZKWURTKTHESGI","created_at":"2026-07-05T11:52:13.428619+00:00"},{"alias_kind":"pith_short_8","alias_value":"HZHZKWUR","created_at":"2026-07-05T11:52:13.428619+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/HZHZKWURTKTHESGIUEO5GORQBQ","json":"https://pith.science/pith/HZHZKWURTKTHESGIUEO5GORQBQ.json","graph_json":"https://pith.science/api/pith-number/HZHZKWURTKTHESGIUEO5GORQBQ/graph.json","events_json":"https://pith.science/api/pith-number/HZHZKWURTKTHESGIUEO5GORQBQ/events.json","paper":"https://pith.science/paper/HZHZKWUR"},"agent_actions":{"view_html":"https://pith.science/pith/HZHZKWURTKTHESGIUEO5GORQBQ","download_json":"https://pith.science/pith/HZHZKWURTKTHESGIUEO5GORQBQ.json","view_paper":"https://pith.science/paper/HZHZKWUR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.12704&json=true","fetch_graph":"https://pith.science/api/pith-number/HZHZKWURTKTHESGIUEO5GORQBQ/graph.json","fetch_events":"https://pith.science/api/pith-number/HZHZKWURTKTHESGIUEO5GORQBQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HZHZKWURTKTHESGIUEO5GORQBQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HZHZKWURTKTHESGIUEO5GORQBQ/action/storage_attestation","attest_author":"https://pith.science/pith/HZHZKWURTKTHESGIUEO5GORQBQ/action/author_attestation","sign_citation":"https://pith.science/pith/HZHZKWURTKTHESGIUEO5GORQBQ/action/citation_signature","submit_replication":"https://pith.science/pith/HZHZKWURTKTHESGIUEO5GORQBQ/action/replication_record"}},"created_at":"2026-07-05T11:52:13.428619+00:00","updated_at":"2026-07-05T11:52:13.428619+00:00"}