{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:LBXDW564LAAXNFTLD6GDZOGCCN","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":"1f1853e658b759b99e3e9f22171ed4b15c39fd015eee42dcab6dd2dbae6a0a48","cross_cats_sorted":["hep-th","quant-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"1998-12-01T06:47:08Z","title_canon_sha256":"46865e062c5d884300d4d7002e82585589079e1714bc5ddaf1ede35a613571fc"},"schema_version":"1.0","source":{"id":"gr-qc/9812002","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9812002","created_at":"2026-07-04T16:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9812002v2","created_at":"2026-07-04T16:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9812002","created_at":"2026-07-04T16:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"LBXDW564LAAX","created_at":"2026-07-04T16:08:53Z"},{"alias_kind":"pith_short_16","alias_value":"LBXDW564LAAXNFTL","created_at":"2026-07-04T16:08:53Z"},{"alias_kind":"pith_short_8","alias_value":"LBXDW564","created_at":"2026-07-04T16:08:53Z"}],"graph_snapshots":[{"event_id":"sha256:aeec75349808279845e994b62e212e8337a7b13c53114ca505749d7b682935c6","target":"graph","created_at":"2026-07-04T16:08:53Z","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/9812002/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"During the last twenty-five years evidence has been mounting that a black-hole surface area has a {\\it discrete} spectrum. Moreover, it is widely believed that area eigenvalues are {\\it uniformally} spaced. There is, however, no general agreement on the {\\it spacing} of the levels. In this letter we use Bohr's correspondence principle to provide this missing link. We conclude that the area spacing of a black-hole is $4\\hbar \\ln 3$. This is the unique spacing consistent both with the area-entropy {\\it thermodynamic} relation for black holes, with Boltzmann-Einstein formula in {\\it statistical p","authors_text":"Shahar Hod","cross_cats":["hep-th","quant-ph"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-12-01T06:47:08Z","title":"Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9812002","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":"sha256:31c3d5cef86a364a32c7e75406bc092f2cb7f7fb274532d0862ca15a9d4b6566","target":"record","created_at":"2026-07-04T16:08:53Z","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":"1f1853e658b759b99e3e9f22171ed4b15c39fd015eee42dcab6dd2dbae6a0a48","cross_cats_sorted":["hep-th","quant-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"1998-12-01T06:47:08Z","title_canon_sha256":"46865e062c5d884300d4d7002e82585589079e1714bc5ddaf1ede35a613571fc"},"schema_version":"1.0","source":{"id":"gr-qc/9812002","kind":"arxiv","version":2}},"canonical_sha256":"586e3b77dc580176966b1f8c3cb8c21357daf92d57e98bc4eb9e1883a5c29299","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"586e3b77dc580176966b1f8c3cb8c21357daf92d57e98bc4eb9e1883a5c29299","first_computed_at":"2026-07-04T16:08:53.591754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:08:53.591754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LDv8MbJ8/9lTPMHjtiF6LfsYKi/vR6dhDqxnZ1OjqR+ZCspw9i89j2XQ2gQfMebKVy6A2bGkkxnNX8ytAEv8AA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:08:53.592149Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9812002","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31c3d5cef86a364a32c7e75406bc092f2cb7f7fb274532d0862ca15a9d4b6566","sha256:aeec75349808279845e994b62e212e8337a7b13c53114ca505749d7b682935c6"],"state_sha256":"0020c7faa899e49d676dba58e57a8688b54509946eb77def0d14892329130844"}