{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:445RLFX3O7YB62R27B4LFEWODE","short_pith_number":"pith:445RLFX3","canonical_record":{"source":{"id":"gr-qc/0509038","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-09-12T08:38:57Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d268b6101bdf487a125095007945756950100ddded2f4769ab560b6ec51b0b66","abstract_canon_sha256":"02370c4315f69254b2406589d9519d00bb309cc2066f6816a9aaa0102144a357"},"schema_version":"1.0"},"canonical_sha256":"e73b1596fb77f01f6a3af878b292ce193b785df0f60bd0221e642a2a9adaaabf","source":{"kind":"arxiv","id":"gr-qc/0509038","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0509038","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0509038v3","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0509038","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"pith_short_12","alias_value":"445RLFX3O7YB","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"pith_short_16","alias_value":"445RLFX3O7YB62R2","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"pith_short_8","alias_value":"445RLFX3","created_at":"2026-07-04T14:47:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:445RLFX3O7YB62R27B4LFEWODE","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0509038","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-09-12T08:38:57Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d268b6101bdf487a125095007945756950100ddded2f4769ab560b6ec51b0b66","abstract_canon_sha256":"02370c4315f69254b2406589d9519d00bb309cc2066f6816a9aaa0102144a357"},"schema_version":"1.0"},"canonical_sha256":"e73b1596fb77f01f6a3af878b292ce193b785df0f60bd0221e642a2a9adaaabf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:47:52.688446Z","signature_b64":"DOWZ+Tfnpjqz+19g08z6zR/vGjbL3K22mztpeSCuLOLDjBqD2QvBKUmglExaUk4aRsKMH8PDbm3ApLk5GYg0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e73b1596fb77f01f6a3af878b292ce193b785df0f60bd0221e642a2a9adaaabf","last_reissued_at":"2026-07-04T14:47:52.688081Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:47:52.688081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0509038","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:47:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OVIsniSBUifx6xDDsgrSQ7oEEP5JSvsQofEygoPsDpuUyNzQt8rAzZH2hfuoHk3T+SNs5L2yUdDPyNA2aNwKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:27:49.525949Z"},"content_sha256":"0753b5805bb0f024d77e5c0971e19c54b5aeecf45e6c531efee830004ca5436d","schema_version":"1.0","event_id":"sha256:0753b5805bb0f024d77e5c0971e19c54b5aeecf45e6c531efee830004ca5436d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:445RLFX3O7YB62R27B4LFEWODE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum spectrum of black holes","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"V.V.Kiselev","submitted_at":"2005-09-12T08:38:57Z","abstract_excerpt":"The black hole as the thermodynamical system in equilibrium possesses the periodicity of motion in imaginary time, that allows us to formulate the quasi-classical rule of quantization. The rule yields the equidistant spectrum for the entropy of non-rotating black holes as well as for the appropriately scaled entropy in the case of rotation. We clarify and discuss a role of quasi-normal modes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0509038","kind":"arxiv","version":3},"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/gr-qc/0509038/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":"2026-07-04T14:47:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fQN/RVXmCuWHqCflxTrne2sRHeJJpINydypnTGKImOw9A/MVkdR9TE7JwHReg9XzFZD5ou3xt8tgvZs1g9FVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:27:49.526785Z"},"content_sha256":"59d92c5da5cdd9c38ba0d992be0558af99ab13cb0d22aca39e1966c0e94d9063","schema_version":"1.0","event_id":"sha256:59d92c5da5cdd9c38ba0d992be0558af99ab13cb0d22aca39e1966c0e94d9063"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/445RLFX3O7YB62R27B4LFEWODE/bundle.json","state_url":"https://pith.science/pith/445RLFX3O7YB62R27B4LFEWODE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/445RLFX3O7YB62R27B4LFEWODE/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":"2026-08-08T15:27:49Z","links":{"resolver":"https://pith.science/pith/445RLFX3O7YB62R27B4LFEWODE","bundle":"https://pith.science/pith/445RLFX3O7YB62R27B4LFEWODE/bundle.json","state":"https://pith.science/pith/445RLFX3O7YB62R27B4LFEWODE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/445RLFX3O7YB62R27B4LFEWODE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:445RLFX3O7YB62R27B4LFEWODE","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":"02370c4315f69254b2406589d9519d00bb309cc2066f6816a9aaa0102144a357","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2005-09-12T08:38:57Z","title_canon_sha256":"d268b6101bdf487a125095007945756950100ddded2f4769ab560b6ec51b0b66"},"schema_version":"1.0","source":{"id":"gr-qc/0509038","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0509038","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0509038v3","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0509038","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"pith_short_12","alias_value":"445RLFX3O7YB","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"pith_short_16","alias_value":"445RLFX3O7YB62R2","created_at":"2026-07-04T14:47:52Z"},{"alias_kind":"pith_short_8","alias_value":"445RLFX3","created_at":"2026-07-04T14:47:52Z"}],"graph_snapshots":[{"event_id":"sha256:59d92c5da5cdd9c38ba0d992be0558af99ab13cb0d22aca39e1966c0e94d9063","target":"graph","created_at":"2026-07-04T14:47:52Z","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/0509038/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The black hole as the thermodynamical system in equilibrium possesses the periodicity of motion in imaginary time, that allows us to formulate the quasi-classical rule of quantization. The rule yields the equidistant spectrum for the entropy of non-rotating black holes as well as for the appropriately scaled entropy in the case of rotation. We clarify and discuss a role of quasi-normal modes.","authors_text":"V.V.Kiselev","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-09-12T08:38:57Z","title":"Quantum spectrum of black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0509038","kind":"arxiv","version":3},"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":"sha256:0753b5805bb0f024d77e5c0971e19c54b5aeecf45e6c531efee830004ca5436d","target":"record","created_at":"2026-07-04T14:47:52Z","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":"02370c4315f69254b2406589d9519d00bb309cc2066f6816a9aaa0102144a357","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2005-09-12T08:38:57Z","title_canon_sha256":"d268b6101bdf487a125095007945756950100ddded2f4769ab560b6ec51b0b66"},"schema_version":"1.0","source":{"id":"gr-qc/0509038","kind":"arxiv","version":3}},"canonical_sha256":"e73b1596fb77f01f6a3af878b292ce193b785df0f60bd0221e642a2a9adaaabf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e73b1596fb77f01f6a3af878b292ce193b785df0f60bd0221e642a2a9adaaabf","first_computed_at":"2026-07-04T14:47:52.688081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:47:52.688081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DOWZ+Tfnpjqz+19g08z6zR/vGjbL3K22mztpeSCuLOLDjBqD2QvBKUmglExaUk4aRsKMH8PDbm3ApLk5GYg0Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:47:52.688446Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0509038","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0753b5805bb0f024d77e5c0971e19c54b5aeecf45e6c531efee830004ca5436d","sha256:59d92c5da5cdd9c38ba0d992be0558af99ab13cb0d22aca39e1966c0e94d9063"],"state_sha256":"c64ef5d2da499dc29a60fe3427f7bae64c996537a707e4dcdbbfd5bc6b117024"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"totl8Slo19wuDvXt1dg95SQ4M4hBZvDJR2SDRhA+foDz3YvGmSdhMvm7djgxiwun68dyxqXN87VwTj3hToanDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T15:27:49.533348Z","bundle_sha256":"85ad28d90cfb6d4c61074afb33f867e29ba83d58f06c24a72f5754adb4b9d0c0"}}