{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2TDESZJJJRXISRLKEHQCOIZJTA","short_pith_number":"pith:2TDESZJJ","canonical_record":{"source":{"id":"1704.00361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-02T20:40:48Z","cross_cats_sorted":[],"title_canon_sha256":"df2513f6710ae425c607270ea562cff452d4e14052f4f68470c12bbb530c1b93","abstract_canon_sha256":"5c3715817701f6aaf7ad36c5433de955cbcca744764827450644a0fcdd45361b"},"schema_version":"1.0"},"canonical_sha256":"d4c64965294c6e89456a21e02723299803f3c51ff095a57fcd0aa1dcd313660f","source":{"kind":"arxiv","id":"1704.00361","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00361","created_at":"2026-05-18T00:40:06Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00361v1","created_at":"2026-05-18T00:40:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00361","created_at":"2026-05-18T00:40:06Z"},{"alias_kind":"pith_short_12","alias_value":"2TDESZJJJRXI","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2TDESZJJJRXISRLK","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2TDESZJJ","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2TDESZJJJRXISRLKEHQCOIZJTA","target":"record","payload":{"canonical_record":{"source":{"id":"1704.00361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-02T20:40:48Z","cross_cats_sorted":[],"title_canon_sha256":"df2513f6710ae425c607270ea562cff452d4e14052f4f68470c12bbb530c1b93","abstract_canon_sha256":"5c3715817701f6aaf7ad36c5433de955cbcca744764827450644a0fcdd45361b"},"schema_version":"1.0"},"canonical_sha256":"d4c64965294c6e89456a21e02723299803f3c51ff095a57fcd0aa1dcd313660f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:06.453830Z","signature_b64":"RolAGqXt1IqyapU/3LSu7qX9VNtRYlgsU9YIJMRHIb8UxkLIhU9WGecas3fdS9YMZNpRD2dFcGp7ZJHKt2HmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4c64965294c6e89456a21e02723299803f3c51ff095a57fcd0aa1dcd313660f","last_reissued_at":"2026-05-18T00:40:06.453174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:06.453174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.00361","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/9kp6FRquG/0kEtDbUH56PNhqdLLPPzfbi/UoQjB4a2cZJCvZ6u1KXvydmuu5MFToZ/EZkjYttW8CqSfsJN2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:16:46.088895Z"},"content_sha256":"7a815f9c3987defd6a1fb559f2ab3086b4bc1085c089e773308c47f4ccdc5265","schema_version":"1.0","event_id":"sha256:7a815f9c3987defd6a1fb559f2ab3086b4bc1085c089e773308c47f4ccdc5265"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2TDESZJJJRXISRLKEHQCOIZJTA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasinormal modes of black holes. The improved semianalytic approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jerzy Matyjasek, Micha{\\l} Opala","submitted_at":"2017-04-02T20:40:48Z","abstract_excerpt":"We have extended the semianalytic technique of Iyer and Will for computing the complex quasinormal frequencies of black holes, $\\omega,$ by constructing the Pad\\'e approximants of the (formal) series for $\\omega^{2}$. It is shown that for the (so far best documented) quasinormal frequencies of the Schwarzschild and Reissner-Nordstr\\\"om black holes the Pad\\'e transforms $P_{6}^{6}$ and $P_{7}^{6}$ are, within the domain of applicability, always in excellent agreement with the numerical results. We argue that the method may serve as the black box with the \"potential\" $Q(x)$ as an input and the a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00361","kind":"arxiv","version":1},"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":"2026-05-18T00:40:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nMJkMf2AK/5pMNo/Yj7qvrWRmcWRR+hWLlYJtMRHHUSWTgHsrVoxS0Wz6dojzuhG3sA6I0aSvOJDT6W6kyRHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:16:46.089588Z"},"content_sha256":"59689912d84e0040cad052b04ee7e1dc3caac8594fb28634e603ad2e2a61b485","schema_version":"1.0","event_id":"sha256:59689912d84e0040cad052b04ee7e1dc3caac8594fb28634e603ad2e2a61b485"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2TDESZJJJRXISRLKEHQCOIZJTA/bundle.json","state_url":"https://pith.science/pith/2TDESZJJJRXISRLKEHQCOIZJTA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2TDESZJJJRXISRLKEHQCOIZJTA/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":"2026-06-08T06:16:46Z","links":{"resolver":"https://pith.science/pith/2TDESZJJJRXISRLKEHQCOIZJTA","bundle":"https://pith.science/pith/2TDESZJJJRXISRLKEHQCOIZJTA/bundle.json","state":"https://pith.science/pith/2TDESZJJJRXISRLKEHQCOIZJTA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2TDESZJJJRXISRLKEHQCOIZJTA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2TDESZJJJRXISRLKEHQCOIZJTA","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":"5c3715817701f6aaf7ad36c5433de955cbcca744764827450644a0fcdd45361b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-02T20:40:48Z","title_canon_sha256":"df2513f6710ae425c607270ea562cff452d4e14052f4f68470c12bbb530c1b93"},"schema_version":"1.0","source":{"id":"1704.00361","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00361","created_at":"2026-05-18T00:40:06Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00361v1","created_at":"2026-05-18T00:40:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00361","created_at":"2026-05-18T00:40:06Z"},{"alias_kind":"pith_short_12","alias_value":"2TDESZJJJRXI","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2TDESZJJJRXISRLK","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2TDESZJJ","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:59689912d84e0040cad052b04ee7e1dc3caac8594fb28634e603ad2e2a61b485","target":"graph","created_at":"2026-05-18T00:40:06Z","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 have extended the semianalytic technique of Iyer and Will for computing the complex quasinormal frequencies of black holes, $\\omega,$ by constructing the Pad\\'e approximants of the (formal) series for $\\omega^{2}$. It is shown that for the (so far best documented) quasinormal frequencies of the Schwarzschild and Reissner-Nordstr\\\"om black holes the Pad\\'e transforms $P_{6}^{6}$ and $P_{7}^{6}$ are, within the domain of applicability, always in excellent agreement with the numerical results. We argue that the method may serve as the black box with the \"potential\" $Q(x)$ as an input and the a","authors_text":"Jerzy Matyjasek, Micha{\\l} Opala","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-02T20:40:48Z","title":"Quasinormal modes of black holes. The improved semianalytic approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00361","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":"sha256:7a815f9c3987defd6a1fb559f2ab3086b4bc1085c089e773308c47f4ccdc5265","target":"record","created_at":"2026-05-18T00:40:06Z","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":"5c3715817701f6aaf7ad36c5433de955cbcca744764827450644a0fcdd45361b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-02T20:40:48Z","title_canon_sha256":"df2513f6710ae425c607270ea562cff452d4e14052f4f68470c12bbb530c1b93"},"schema_version":"1.0","source":{"id":"1704.00361","kind":"arxiv","version":1}},"canonical_sha256":"d4c64965294c6e89456a21e02723299803f3c51ff095a57fcd0aa1dcd313660f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4c64965294c6e89456a21e02723299803f3c51ff095a57fcd0aa1dcd313660f","first_computed_at":"2026-05-18T00:40:06.453174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:06.453174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RolAGqXt1IqyapU/3LSu7qX9VNtRYlgsU9YIJMRHIb8UxkLIhU9WGecas3fdS9YMZNpRD2dFcGp7ZJHKt2HmCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:06.453830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.00361","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a815f9c3987defd6a1fb559f2ab3086b4bc1085c089e773308c47f4ccdc5265","sha256:59689912d84e0040cad052b04ee7e1dc3caac8594fb28634e603ad2e2a61b485"],"state_sha256":"b071c8af4222968504feec232b4d9dd4493bfb1f03193e0b4c79dfd3e51ba22d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"20WFWhPbyMV6EX2ofW38bA4FX/22yazfKJHkWW31WttWOWWNhFCYJ/XWmXebjspM6bG2Za6UmJ6qQ85An495Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T06:16:46.093183Z","bundle_sha256":"02d74d8e7d90aba49a93d01db829d074211322e97f46f37f7aa34cf91d03240c"}}