{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:DVCK62MHHDLICLKXV6ZX35ALG6","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":"f4683f12f9419a300487fa73e9d825150083db4528dfa6e85217bf1d62ca3a72","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2003-07-03T13:03:42Z","title_canon_sha256":"c7e77cf5d6e823b3f887f774471e001547e394bc85a3f22b6d1f745862d222c4"},"schema_version":"1.0","source":{"id":"gr-qc/0307012","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0307012","created_at":"2026-07-05T00:46:12Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0307012v5","created_at":"2026-07-05T00:46:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0307012","created_at":"2026-07-05T00:46:12Z"},{"alias_kind":"pith_short_12","alias_value":"DVCK62MHHDLI","created_at":"2026-07-05T00:46:12Z"},{"alias_kind":"pith_short_16","alias_value":"DVCK62MHHDLICLKX","created_at":"2026-07-05T00:46:12Z"},{"alias_kind":"pith_short_8","alias_value":"DVCK62MH","created_at":"2026-07-05T00:46:12Z"}],"graph_snapshots":[{"event_id":"sha256:574c6944137a39943f632e8d5d435f1501fe01877363283c2211b357bc2c615b","target":"graph","created_at":"2026-07-05T00:46:12Z","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/0307012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The low-laying frequencies of characteristic quasi-normal modes (QNM) of Schwarzschild-de Sitter (SdS) black holes have been calculated for fields of different spin using the 6th-order WKB approximation and the approximation by the P\\\"{o}shl-Teller potential. The well-known asymptotic formula for large $l$ is generalized here on a case of the Schwarzchild-de Sitter black hole. In the limit of the near extreme $\\Lambda$ term the results given by both methods are in a very good agreement, and in this limit fields of different spin decay with the same rate.","authors_text":"A. Zhidenko","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2003-07-03T13:03:42Z","title":"Quasi-normal modes of Schwarzschild-de Sitter black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0307012","kind":"arxiv","version":5},"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":"sha256:01f2240d67966558cb80d0386c8bb793190238e412f4944d4029f9e83e6073e4","target":"record","created_at":"2026-07-05T00:46:12Z","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":"f4683f12f9419a300487fa73e9d825150083db4528dfa6e85217bf1d62ca3a72","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2003-07-03T13:03:42Z","title_canon_sha256":"c7e77cf5d6e823b3f887f774471e001547e394bc85a3f22b6d1f745862d222c4"},"schema_version":"1.0","source":{"id":"gr-qc/0307012","kind":"arxiv","version":5}},"canonical_sha256":"1d44af698738d6812d57afb37df40b378c93f06e2806f486ebb37025a68d4bbb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d44af698738d6812d57afb37df40b378c93f06e2806f486ebb37025a68d4bbb","first_computed_at":"2026-07-05T00:46:12.169706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:46:12.169706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GgIX43rDFi4PZca9kg34P75skfieB45z7Nvv/2R8dt+x40jGSPvHs+7fzhsMalIyFhWeiF02LMiywxheW1u+AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:46:12.170070Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0307012","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01f2240d67966558cb80d0386c8bb793190238e412f4944d4029f9e83e6073e4","sha256:574c6944137a39943f632e8d5d435f1501fe01877363283c2211b357bc2c615b"],"state_sha256":"3c20195d75319e052eb6405e163a1cfe912f0151c56f5add57373684e8049833"}