{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:5TAJJEUEC4VMAIEZL3AVR6AQBV","short_pith_number":"pith:5TAJJEUE","canonical_record":{"source":{"id":"1906.10638","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-25T16:27:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"49a88aa234a92b37737623ceb9df7ddfea03c1b2cf4c0483153fc1e717d4d791","abstract_canon_sha256":"c21b1df02ddbdc08a64c8858b7dcc5850c54e90b645effef735bd195453b7f53"},"schema_version":"1.0"},"canonical_sha256":"ecc0949284172ac020995ec158f8100d68fb19f7079bd9e32c90ebc306a9baa4","source":{"kind":"arxiv","id":"1906.10638","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.10638","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1906.10638v2","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.10638","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"5TAJJEUEC4VM","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"pith_short_16","alias_value":"5TAJJEUEC4VMAIEZ","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"pith_short_8","alias_value":"5TAJJEUE","created_at":"2026-07-05T04:26:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:5TAJJEUEC4VMAIEZL3AVR6AQBV","target":"record","payload":{"canonical_record":{"source":{"id":"1906.10638","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-25T16:27:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"49a88aa234a92b37737623ceb9df7ddfea03c1b2cf4c0483153fc1e717d4d791","abstract_canon_sha256":"c21b1df02ddbdc08a64c8858b7dcc5850c54e90b645effef735bd195453b7f53"},"schema_version":"1.0"},"canonical_sha256":"ecc0949284172ac020995ec158f8100d68fb19f7079bd9e32c90ebc306a9baa4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:26:31.225903Z","signature_b64":"VsZiPUNY/D4iJFQcXn4nF/C661MpVlxZbkEL9qCB5/onv8Hl6JVY4QjykIEoZ7K4xzB/JysGwlRQ5vK7hL4PAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecc0949284172ac020995ec158f8100d68fb19f7079bd9e32c90ebc306a9baa4","last_reissued_at":"2026-07-05T04:26:31.225452Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:26:31.225452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.10638","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":"2026-07-05T04:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zjdDEDjsNUNBL5fjl9fP/90xaz5oI7ReRmjp0rHLuAZjE58r8qzjW1qWbhT03De83KD9OzKCUluH2S+tuCXCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:08:17.708043Z"},"content_sha256":"8d626a9dc742c6160a5151bfb691cf3a6ad2f48883ee99142f09cd35ec3404b1","schema_version":"1.0","event_id":"sha256:8d626a9dc742c6160a5151bfb691cf3a6ad2f48883ee99142f09cd35ec3404b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:5TAJJEUEC4VMAIEZL3AVR6AQBV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Confluent conformal blocks and the Teukolsky master equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Bruno Carneiro da Cunha, Jo\\~ao Paulo Cavalcante","submitted_at":"2019-06-25T16:27:24Z","abstract_excerpt":"Quasinormal modes of usual, four dimensional, Kerr black holes are described by certain solutions of a confluent Heun differential equation. In this work, we express these solutions in terms of the connection matrices for a Riemann-Hilbert problem, which was recently solved in terms of the Painlev\\'e V transcendent. We use this formulation to generate the small-frequency expansion for the angular spheroidal harmonic eigenvalue, and derive conditions on the monodromy properties for the radial modes. Using exponentiation, we relate the accessory parameter to a semi-classical conformal descriptio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.10638","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/1906.10638/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":"2026-07-05T04:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ri2Pry912CsUu36PGOBie1Q6fbRHshQnOQ3R5SeKnrLEpzeYWvOOcsa/nABmo/AuC8EAbYXK2eD/01NwKtsAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:08:17.708545Z"},"content_sha256":"648ae0c5a5b51eaec5ddc75c37bf87fcf25e977d277ba84f22e21175de189bbf","schema_version":"1.0","event_id":"sha256:648ae0c5a5b51eaec5ddc75c37bf87fcf25e977d277ba84f22e21175de189bbf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5TAJJEUEC4VMAIEZL3AVR6AQBV/bundle.json","state_url":"https://pith.science/pith/5TAJJEUEC4VMAIEZL3AVR6AQBV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5TAJJEUEC4VMAIEZL3AVR6AQBV/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":"2026-08-15T17:08:17Z","links":{"resolver":"https://pith.science/pith/5TAJJEUEC4VMAIEZL3AVR6AQBV","bundle":"https://pith.science/pith/5TAJJEUEC4VMAIEZL3AVR6AQBV/bundle.json","state":"https://pith.science/pith/5TAJJEUEC4VMAIEZL3AVR6AQBV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5TAJJEUEC4VMAIEZL3AVR6AQBV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5TAJJEUEC4VMAIEZL3AVR6AQBV","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":"c21b1df02ddbdc08a64c8858b7dcc5850c54e90b645effef735bd195453b7f53","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-25T16:27:24Z","title_canon_sha256":"49a88aa234a92b37737623ceb9df7ddfea03c1b2cf4c0483153fc1e717d4d791"},"schema_version":"1.0","source":{"id":"1906.10638","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.10638","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1906.10638v2","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.10638","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"5TAJJEUEC4VM","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"pith_short_16","alias_value":"5TAJJEUEC4VMAIEZ","created_at":"2026-07-05T04:26:31Z"},{"alias_kind":"pith_short_8","alias_value":"5TAJJEUE","created_at":"2026-07-05T04:26:31Z"}],"graph_snapshots":[{"event_id":"sha256:648ae0c5a5b51eaec5ddc75c37bf87fcf25e977d277ba84f22e21175de189bbf","target":"graph","created_at":"2026-07-05T04:26:31Z","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/1906.10638/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quasinormal modes of usual, four dimensional, Kerr black holes are described by certain solutions of a confluent Heun differential equation. In this work, we express these solutions in terms of the connection matrices for a Riemann-Hilbert problem, which was recently solved in terms of the Painlev\\'e V transcendent. We use this formulation to generate the small-frequency expansion for the angular spheroidal harmonic eigenvalue, and derive conditions on the monodromy properties for the radial modes. Using exponentiation, we relate the accessory parameter to a semi-classical conformal descriptio","authors_text":"Bruno Carneiro da Cunha, Jo\\~ao Paulo Cavalcante","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-25T16:27:24Z","title":"Confluent conformal blocks and the Teukolsky master equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.10638","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":"sha256:8d626a9dc742c6160a5151bfb691cf3a6ad2f48883ee99142f09cd35ec3404b1","target":"record","created_at":"2026-07-05T04:26:31Z","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":"c21b1df02ddbdc08a64c8858b7dcc5850c54e90b645effef735bd195453b7f53","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-25T16:27:24Z","title_canon_sha256":"49a88aa234a92b37737623ceb9df7ddfea03c1b2cf4c0483153fc1e717d4d791"},"schema_version":"1.0","source":{"id":"1906.10638","kind":"arxiv","version":2}},"canonical_sha256":"ecc0949284172ac020995ec158f8100d68fb19f7079bd9e32c90ebc306a9baa4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecc0949284172ac020995ec158f8100d68fb19f7079bd9e32c90ebc306a9baa4","first_computed_at":"2026-07-05T04:26:31.225452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:26:31.225452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VsZiPUNY/D4iJFQcXn4nF/C661MpVlxZbkEL9qCB5/onv8Hl6JVY4QjykIEoZ7K4xzB/JysGwlRQ5vK7hL4PAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:26:31.225903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.10638","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d626a9dc742c6160a5151bfb691cf3a6ad2f48883ee99142f09cd35ec3404b1","sha256:648ae0c5a5b51eaec5ddc75c37bf87fcf25e977d277ba84f22e21175de189bbf"],"state_sha256":"ba61b94d1a7629320fb2e47152bf49240ba82476bdc22ea1e8116c986d4614e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WJWbLY8/heiYVyWpmfuCHh1eFbxMu3n+4WEELWEPXlOgdn8TxJKkCm0/12wiMMqtldcbXMGlKKD4zR9ypTeuDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T17:08:17.712366Z","bundle_sha256":"663a5179bdd21fa564329be2d9d1b65d39fe3afd944014f807a0605f003ec3a7"}}