{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:5BSP4TBUAPVCN6JRCIMIZGSYF6","short_pith_number":"pith:5BSP4TBU","canonical_record":{"source":{"id":"2210.08373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-15T20:51:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8689e13e61e5bb3a929b9d6fd386eb725c3c7525f0d41dfa1f7f27217d837906","abstract_canon_sha256":"0e14c76691eb8829dccb1b9b10e47b4b8c8fe19d64a62e14869509f3897f4b16"},"schema_version":"1.0"},"canonical_sha256":"e864fe4c3403ea26f93112188c9a582f8322cc924d3c45d029a9a549c4a24bbc","source":{"kind":"arxiv","id":"2210.08373","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.08373","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"arxiv_version","alias_value":"2210.08373v2","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.08373","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"pith_short_12","alias_value":"5BSP4TBUAPVC","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"5BSP4TBUAPVCN6JR","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"5BSP4TBU","created_at":"2026-07-05T05:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:5BSP4TBUAPVCN6JRCIMIZGSYF6","target":"record","payload":{"canonical_record":{"source":{"id":"2210.08373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-15T20:51:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8689e13e61e5bb3a929b9d6fd386eb725c3c7525f0d41dfa1f7f27217d837906","abstract_canon_sha256":"0e14c76691eb8829dccb1b9b10e47b4b8c8fe19d64a62e14869509f3897f4b16"},"schema_version":"1.0"},"canonical_sha256":"e864fe4c3403ea26f93112188c9a582f8322cc924d3c45d029a9a549c4a24bbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:31:56.171805Z","signature_b64":"2jky6zIVmeb3vPYXT3RAD1EObuM1eRnA6H7uVw81lfPaN1mbOiIpBbiqOBkOPf7PpslFgmDV+YWL2cJoMcaFDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e864fe4c3403ea26f93112188c9a582f8322cc924d3c45d029a9a549c4a24bbc","last_reissued_at":"2026-07-05T05:31:56.171298Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:31:56.171298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.08373","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:31:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/a3cDDilUL9FdyT/yU3r7az+M2N++2rizleveKUXwgb7VQUyoufZVuC1HGhCDC9Br5igsEdLBoYANyhlERjPAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T20:50:47.255397Z"},"content_sha256":"796efc2ab0be46c4f986989b00f6a0cc4aeb87e5e02577f971c8b2e7927bcaf8","schema_version":"1.0","event_id":"sha256:796efc2ab0be46c4f986989b00f6a0cc4aeb87e5e02577f971c8b2e7927bcaf8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:5BSP4TBUAPVCN6JRCIMIZGSYF6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Further clarification on quasinormal modes/circular null geodesics correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"R. A. Konoplya","submitted_at":"2022-10-15T20:51:21Z","abstract_excerpt":"The well-known duality between quasinormal modes of any stationary, spherically symmetric and asymptotically flat or de Sitter black hole and parameters of the circular null geodesic was initially claimed for gravitational and test field perturbations. According to this duality the real and imaginary parts of the $\\ell \\gg n$ quasinormal mode (where $\\ell$ and $n$ are multipole and overtone numbers respectively) are multiples of the frequency and instability timescale of the circular null geodesics respectively. Later it was shown that the duality is guaranteed only for test fields and may be "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.08373","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/2210.08373/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":"2026-07-05T05:31:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ttwNI7HXf+MB1UfeY+QKS+9r5exrGow+vzTYs/DtxhIPbzCPchPAj2qWwt1QE3EpfOKe/sjM5b+iea6JzDXQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T20:50:47.255727Z"},"content_sha256":"dcb120b846b00f4bfb46a7f1bcb55f0fc64e6364c5737b864d66b14545d265ea","schema_version":"1.0","event_id":"sha256:dcb120b846b00f4bfb46a7f1bcb55f0fc64e6364c5737b864d66b14545d265ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5BSP4TBUAPVCN6JRCIMIZGSYF6/bundle.json","state_url":"https://pith.science/pith/5BSP4TBUAPVCN6JRCIMIZGSYF6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5BSP4TBUAPVCN6JRCIMIZGSYF6/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":"2026-08-01T20:50:47Z","links":{"resolver":"https://pith.science/pith/5BSP4TBUAPVCN6JRCIMIZGSYF6","bundle":"https://pith.science/pith/5BSP4TBUAPVCN6JRCIMIZGSYF6/bundle.json","state":"https://pith.science/pith/5BSP4TBUAPVCN6JRCIMIZGSYF6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5BSP4TBUAPVCN6JRCIMIZGSYF6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5BSP4TBUAPVCN6JRCIMIZGSYF6","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":"0e14c76691eb8829dccb1b9b10e47b4b8c8fe19d64a62e14869509f3897f4b16","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-15T20:51:21Z","title_canon_sha256":"8689e13e61e5bb3a929b9d6fd386eb725c3c7525f0d41dfa1f7f27217d837906"},"schema_version":"1.0","source":{"id":"2210.08373","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.08373","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"arxiv_version","alias_value":"2210.08373v2","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.08373","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"pith_short_12","alias_value":"5BSP4TBUAPVC","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"5BSP4TBUAPVCN6JR","created_at":"2026-07-05T05:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"5BSP4TBU","created_at":"2026-07-05T05:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:dcb120b846b00f4bfb46a7f1bcb55f0fc64e6364c5737b864d66b14545d265ea","target":"graph","created_at":"2026-07-05T05:31:56Z","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/2210.08373/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The well-known duality between quasinormal modes of any stationary, spherically symmetric and asymptotically flat or de Sitter black hole and parameters of the circular null geodesic was initially claimed for gravitational and test field perturbations. According to this duality the real and imaginary parts of the $\\ell \\gg n$ quasinormal mode (where $\\ell$ and $n$ are multipole and overtone numbers respectively) are multiples of the frequency and instability timescale of the circular null geodesics respectively. Later it was shown that the duality is guaranteed only for test fields and may be ","authors_text":"R. A. Konoplya","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-15T20:51:21Z","title":"Further clarification on quasinormal modes/circular null geodesics correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.08373","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":"sha256:796efc2ab0be46c4f986989b00f6a0cc4aeb87e5e02577f971c8b2e7927bcaf8","target":"record","created_at":"2026-07-05T05:31:56Z","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":"0e14c76691eb8829dccb1b9b10e47b4b8c8fe19d64a62e14869509f3897f4b16","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2022-10-15T20:51:21Z","title_canon_sha256":"8689e13e61e5bb3a929b9d6fd386eb725c3c7525f0d41dfa1f7f27217d837906"},"schema_version":"1.0","source":{"id":"2210.08373","kind":"arxiv","version":2}},"canonical_sha256":"e864fe4c3403ea26f93112188c9a582f8322cc924d3c45d029a9a549c4a24bbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e864fe4c3403ea26f93112188c9a582f8322cc924d3c45d029a9a549c4a24bbc","first_computed_at":"2026-07-05T05:31:56.171298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:31:56.171298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2jky6zIVmeb3vPYXT3RAD1EObuM1eRnA6H7uVw81lfPaN1mbOiIpBbiqOBkOPf7PpslFgmDV+YWL2cJoMcaFDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:31:56.171805Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.08373","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:796efc2ab0be46c4f986989b00f6a0cc4aeb87e5e02577f971c8b2e7927bcaf8","sha256:dcb120b846b00f4bfb46a7f1bcb55f0fc64e6364c5737b864d66b14545d265ea"],"state_sha256":"8febd91a586210cdfd2782b818e497d972f27f2a52375d4581008b35a55497ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"35KQNjKZf8puka2/6GWJWdaIgkPsTze203pztzJX1HLDamDIEXl49+VUiALYpUeYjeUPA77DdUmaHVTZm1QjBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T20:50:47.258481Z","bundle_sha256":"028d314a15897de515f2f2ca1fcd674a44b26efe8e3624e6c32dfc393836d1ab"}}