{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:ZLHPN5YJCZFOW3QFIZONY4CH7Z","short_pith_number":"pith:ZLHPN5YJ","canonical_record":{"source":{"id":"0906.5108","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-28T05:31:48Z","cross_cats_sorted":[],"title_canon_sha256":"9af1fda2d3e9fb38d62093cf5096cb7a6265fb175de28f2a6778aa200ce616bd","abstract_canon_sha256":"b7d35afda8447f84491776d5f39130dfd499d580d15e5089f4b69afe88b1ec7c"},"schema_version":"1.0"},"canonical_sha256":"cacef6f709164aeb6e05465cdc7047fe71c9e78a71124b4dec31500cd13115c5","source":{"kind":"arxiv","id":"0906.5108","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.5108","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"arxiv_version","alias_value":"0906.5108v4","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5108","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"pith_short_12","alias_value":"ZLHPN5YJCZFO","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"ZLHPN5YJCZFOW3QF","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"ZLHPN5YJ","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:ZLHPN5YJCZFOW3QFIZONY4CH7Z","target":"record","payload":{"canonical_record":{"source":{"id":"0906.5108","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-28T05:31:48Z","cross_cats_sorted":[],"title_canon_sha256":"9af1fda2d3e9fb38d62093cf5096cb7a6265fb175de28f2a6778aa200ce616bd","abstract_canon_sha256":"b7d35afda8447f84491776d5f39130dfd499d580d15e5089f4b69afe88b1ec7c"},"schema_version":"1.0"},"canonical_sha256":"cacef6f709164aeb6e05465cdc7047fe71c9e78a71124b4dec31500cd13115c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:59.130409Z","signature_b64":"M7D3cMN9ZkZtI6YHlHmu+ia6WvBCtXJpGyWzmtRSqg/Hvh/pHrWuKNJ9yM3nqXdQI9oL3xSWG+rPINnQ8g6HBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cacef6f709164aeb6e05465cdc7047fe71c9e78a71124b4dec31500cd13115c5","last_reissued_at":"2026-05-18T03:23:59.129574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:59.129574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.5108","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:23:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mSDc65ujdPa/I6P143qy7WN54XNLWk4b4OduDD0hqTsK9+TxY1nA/gYBfb9S426kiLzYI/k1uH6ANlATi0byBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:05:24.142925Z"},"content_sha256":"42f0ed6af6c9724d5587ab2129bbb7bae50404fd250e0d5a91161f511bfe7336","schema_version":"1.0","event_id":"sha256:42f0ed6af6c9724d5587ab2129bbb7bae50404fd250e0d5a91161f511bfe7336"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:ZLHPN5YJCZFOW3QFIZONY4CH7Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Teukolsky-Starobinsky Identities - a Novel Derivation and Generalizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Plamen P. Fiziev","submitted_at":"2009-06-28T05:31:48Z","abstract_excerpt":"We present a novel derivation of the Teukolsky-Starobinsky identities, based on properties of the confluent Heun functions. These functions define analytically all exact solutions to the Teukolsky master equation, as well as to the Regge-Wheeler and Zerilli ones. The class of solutions, subject to Teukolsky-Starobinsky type of identities is studied. Our generalization of the Teukolsky-Starobinsky identities is valid for the already studied linear perturbations to the Kerr and Schwarzschild metrics, as well as for large new classes of of such perturbations which are explicitly described in the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5108","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:23:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pxEz/imAZsv7nRaiDBYacVmTMy0aCX3Cyc476U6J1/QrLHd2+mNfQZY3pJ0fltskg+JUTVs85Z7NQ1Gf1+fVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:05:24.143560Z"},"content_sha256":"948a72e56483888738e6e2d20fbbde63808343f8418794a8dceb9a7326589e14","schema_version":"1.0","event_id":"sha256:948a72e56483888738e6e2d20fbbde63808343f8418794a8dceb9a7326589e14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLHPN5YJCZFOW3QFIZONY4CH7Z/bundle.json","state_url":"https://pith.science/pith/ZLHPN5YJCZFOW3QFIZONY4CH7Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLHPN5YJCZFOW3QFIZONY4CH7Z/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":"2026-06-07T23:05:24Z","links":{"resolver":"https://pith.science/pith/ZLHPN5YJCZFOW3QFIZONY4CH7Z","bundle":"https://pith.science/pith/ZLHPN5YJCZFOW3QFIZONY4CH7Z/bundle.json","state":"https://pith.science/pith/ZLHPN5YJCZFOW3QFIZONY4CH7Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLHPN5YJCZFOW3QFIZONY4CH7Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ZLHPN5YJCZFOW3QFIZONY4CH7Z","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":"b7d35afda8447f84491776d5f39130dfd499d580d15e5089f4b69afe88b1ec7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-28T05:31:48Z","title_canon_sha256":"9af1fda2d3e9fb38d62093cf5096cb7a6265fb175de28f2a6778aa200ce616bd"},"schema_version":"1.0","source":{"id":"0906.5108","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.5108","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"arxiv_version","alias_value":"0906.5108v4","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5108","created_at":"2026-05-18T03:23:59Z"},{"alias_kind":"pith_short_12","alias_value":"ZLHPN5YJCZFO","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"ZLHPN5YJCZFOW3QF","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"ZLHPN5YJ","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:948a72e56483888738e6e2d20fbbde63808343f8418794a8dceb9a7326589e14","target":"graph","created_at":"2026-05-18T03:23:59Z","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"},"paper":{"abstract_excerpt":"We present a novel derivation of the Teukolsky-Starobinsky identities, based on properties of the confluent Heun functions. These functions define analytically all exact solutions to the Teukolsky master equation, as well as to the Regge-Wheeler and Zerilli ones. The class of solutions, subject to Teukolsky-Starobinsky type of identities is studied. Our generalization of the Teukolsky-Starobinsky identities is valid for the already studied linear perturbations to the Kerr and Schwarzschild metrics, as well as for large new classes of of such perturbations which are explicitly described in the ","authors_text":"Plamen P. Fiziev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-28T05:31:48Z","title":"Teukolsky-Starobinsky Identities - a Novel Derivation and Generalizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5108","kind":"arxiv","version":4},"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":"sha256:42f0ed6af6c9724d5587ab2129bbb7bae50404fd250e0d5a91161f511bfe7336","target":"record","created_at":"2026-05-18T03:23:59Z","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":"b7d35afda8447f84491776d5f39130dfd499d580d15e5089f4b69afe88b1ec7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-28T05:31:48Z","title_canon_sha256":"9af1fda2d3e9fb38d62093cf5096cb7a6265fb175de28f2a6778aa200ce616bd"},"schema_version":"1.0","source":{"id":"0906.5108","kind":"arxiv","version":4}},"canonical_sha256":"cacef6f709164aeb6e05465cdc7047fe71c9e78a71124b4dec31500cd13115c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cacef6f709164aeb6e05465cdc7047fe71c9e78a71124b4dec31500cd13115c5","first_computed_at":"2026-05-18T03:23:59.129574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:59.129574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M7D3cMN9ZkZtI6YHlHmu+ia6WvBCtXJpGyWzmtRSqg/Hvh/pHrWuKNJ9yM3nqXdQI9oL3xSWG+rPINnQ8g6HBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:59.130409Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.5108","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42f0ed6af6c9724d5587ab2129bbb7bae50404fd250e0d5a91161f511bfe7336","sha256:948a72e56483888738e6e2d20fbbde63808343f8418794a8dceb9a7326589e14"],"state_sha256":"7cff42038ee62fcc6546a3dd4c1106335eae623b45efd777e293904f5c1cf883"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2tXhtza3rMOrS5VvFg7eyQoQ0xHNrp2K9YjcLvxbO5q2uxUG1/LvPcoyYAAZmlp/SSXne/bV1C2k/M4uwHdpCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T23:05:24.147214Z","bundle_sha256":"5499d93e4b7b53d2168443847499abe94ba4671abbaecedfac538918c2ac2e18"}}