{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:WKAWR55O3QIFRQA7TPXIM6HZDI","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":"34a312e74cd967d2c541e4f5d053ac09c4c9784090f4c7c8960194d0a6cd94e9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-03-21T11:54:53Z","title_canon_sha256":"75fc0c939809b75507a694440ba37e120c3d9cc83984abc5a5d94b8fd552e950"},"schema_version":"1.0","source":{"id":"gr-qc/0203069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0203069","created_at":"2026-07-04T16:33:42Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0203069v1","created_at":"2026-07-04T16:33:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0203069","created_at":"2026-07-04T16:33:42Z"},{"alias_kind":"pith_short_12","alias_value":"WKAWR55O3QIF","created_at":"2026-07-04T16:33:42Z"},{"alias_kind":"pith_short_16","alias_value":"WKAWR55O3QIFRQA7","created_at":"2026-07-04T16:33:42Z"},{"alias_kind":"pith_short_8","alias_value":"WKAWR55O","created_at":"2026-07-04T16:33:42Z"}],"graph_snapshots":[{"event_id":"sha256:c8eda367ff7fd40c62decabcfa3422bed70b5ece6cd1a7027eabd7a4b215d0a3","target":"graph","created_at":"2026-07-04T16:33:42Z","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/0203069/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A new version of the Teukolksy Master Equation, describing any massless field of different spin $s=1/2,1,3/2,2$ in the Kerr black hole, is presented here in the form of a wave equation containing additional curvature terms. These results suggest a relation between curvature perturbation theory in general relativity and the exact wave equations satisfied by the Weyl and the Maxwell tensors, known in the literature as the de Rham-Lichnerowicz Laplacian equations. We discuss these Laplacians both in the Newman-Penrose formalism and in the Geroch-Held-Penrose variant for an arbitrary vacuum spacet","authors_text":"Christian Cherubini, Donato Bini, Remo J. Ruffini, Robert T Jantzen","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-03-21T11:54:53Z","title":"Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0203069","kind":"arxiv","version":1},"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":"sha256:849c6df184a9b5f7c0f69a5a71955a3c203d220b31b7713b1f455c334e783239","target":"record","created_at":"2026-07-04T16:33:42Z","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":"34a312e74cd967d2c541e4f5d053ac09c4c9784090f4c7c8960194d0a6cd94e9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-03-21T11:54:53Z","title_canon_sha256":"75fc0c939809b75507a694440ba37e120c3d9cc83984abc5a5d94b8fd552e950"},"schema_version":"1.0","source":{"id":"gr-qc/0203069","kind":"arxiv","version":1}},"canonical_sha256":"b28168f7aedc1058c01f9bee8678f91a2cb46e72eae0dfeab639cee7fdf6d6e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b28168f7aedc1058c01f9bee8678f91a2cb46e72eae0dfeab639cee7fdf6d6e5","first_computed_at":"2026-07-04T16:33:42.616885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:33:42.616885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cV5P566bWW3zQbc1NereffEWHY55LahzXIKFibiYds9RxODpaorUJW0Cvh8yRj5FMXipw255OmwQJGHsQg/sCg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:33:42.617234Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0203069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:849c6df184a9b5f7c0f69a5a71955a3c203d220b31b7713b1f455c334e783239","sha256:c8eda367ff7fd40c62decabcfa3422bed70b5ece6cd1a7027eabd7a4b215d0a3"],"state_sha256":"b5311cdccca00c47788dafa31d411e1496f67ed978e3c8403e98c28d16deef8b"}