{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:E5ILVTUVLANFOPGNE7UWF6VV35","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":"711e440e23a63207bbbd1361fce43d2ba20f81ee5f53fe47660549635a1dd8de","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2002-12-03T16:13:25Z","title_canon_sha256":"b583950bcf9f4056de0cb11985ca13646e34119741c6d7c91d47e2652875039a"},"schema_version":"1.0","source":{"id":"gr-qc/0212014","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0212014","created_at":"2026-07-04T17:25:19Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0212014v2","created_at":"2026-07-04T17:25:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0212014","created_at":"2026-07-04T17:25:19Z"},{"alias_kind":"pith_short_12","alias_value":"E5ILVTUVLANF","created_at":"2026-07-04T17:25:19Z"},{"alias_kind":"pith_short_16","alias_value":"E5ILVTUVLANFOPGN","created_at":"2026-07-04T17:25:19Z"},{"alias_kind":"pith_short_8","alias_value":"E5ILVTUV","created_at":"2026-07-04T17:25:19Z"}],"graph_snapshots":[{"event_id":"sha256:72a06a9689664d9454208fc469735b3a1f32a1cd62806afbd7ec5d2d26e0b9c1","target":"graph","created_at":"2026-07-04T17:25:19Z","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/gr-qc/0212014/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Starting from recent observations\\cite{hod,dreyer1} about quasi-normal modes, we use semi-classical arguments to derive the Bekenstein-Hawking entropy spectrum for $d$-dimensional spherically symmetric black holes. We find that the entropy spectrum is equally spaced: $S_{BH}=k \\ln(m_0)n$, where $m_0$ is a fixed integer that must be derived from the microscopic theory. As shown in \\cite{dreyer1},4-$d$ loop quantum gravity yields precisely such a spectrum with $m_0=3$ providing the Immirzi parameter is chosen appropriately. For $d$-dimensional black holes of radius $R_H(M)$, our analysis require","authors_text":"Gabor Kunstatter (University of Winnipeg)","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-12-03T16:13:25Z","title":"d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0212014","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":"sha256:42d0364969ad0a3a251158c1e1575893d620f1acb075ce80303cbe345181f851","target":"record","created_at":"2026-07-04T17:25:19Z","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":"711e440e23a63207bbbd1361fce43d2ba20f81ee5f53fe47660549635a1dd8de","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2002-12-03T16:13:25Z","title_canon_sha256":"b583950bcf9f4056de0cb11985ca13646e34119741c6d7c91d47e2652875039a"},"schema_version":"1.0","source":{"id":"gr-qc/0212014","kind":"arxiv","version":2}},"canonical_sha256":"2750bace95581a573ccd27e962fab5df68d121bb51d84164474898241a4f51ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2750bace95581a573ccd27e962fab5df68d121bb51d84164474898241a4f51ca","first_computed_at":"2026-07-04T17:25:19.432408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:19.432408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ciD1RVIldSk7pP+2EMqj+iKyEngs7fQyOeGftASaxte1kKcNIV8qg0W24p68dQ3xwcjDMS/c9lGzGI/dUXwRCA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:19.432804Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0212014","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42d0364969ad0a3a251158c1e1575893d620f1acb075ce80303cbe345181f851","sha256:72a06a9689664d9454208fc469735b3a1f32a1cd62806afbd7ec5d2d26e0b9c1"],"state_sha256":"6783d097d8f470549069fc948bbac0d49eda8e628e4e66dfd5a227431a827025"}