{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:T3PQLKFPXDTYBFTH7JNC25Z5RT","short_pith_number":"pith:T3PQLKFP","canonical_record":{"source":{"id":"1305.4306","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T23:09:09Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"e51a3f7c59c60d36543e2690bd52be07315944bcb7e896c45b904447922769b8","abstract_canon_sha256":"d35a00fc88ff5ca4f6452ca4b1e5d6f4f48887bc326f442b742e6dcc32857407"},"schema_version":"1.0"},"canonical_sha256":"9edf05a8afb8e7809667fa5a2d773d8ccf22ff4105512088beeb349143d3e39f","source":{"kind":"arxiv","id":"1305.4306","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4306","created_at":"2026-05-18T03:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4306v1","created_at":"2026-05-18T03:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4306","created_at":"2026-05-18T03:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"T3PQLKFPXDTY","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T3PQLKFPXDTYBFTH","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T3PQLKFP","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:T3PQLKFPXDTYBFTH7JNC25Z5RT","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4306","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T23:09:09Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"e51a3f7c59c60d36543e2690bd52be07315944bcb7e896c45b904447922769b8","abstract_canon_sha256":"d35a00fc88ff5ca4f6452ca4b1e5d6f4f48887bc326f442b742e6dcc32857407"},"schema_version":"1.0"},"canonical_sha256":"9edf05a8afb8e7809667fa5a2d773d8ccf22ff4105512088beeb349143d3e39f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:25.318651Z","signature_b64":"W0a49YX5feE/gR3suMtCIk5/xKVqwVfKf09TZhVrqsXeKlGvfpxmPxOBJqrec14MXtJWPsJiF+xN43U9Ald7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9edf05a8afb8e7809667fa5a2d773d8ccf22ff4105512088beeb349143d3e39f","last_reissued_at":"2026-05-18T03:01:25.318175Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:25.318175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4306","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":"2026-05-18T03:01:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yFAOuJWYdlvUnZXh+a97XRRzEqFVvEGMhsX/RRQQh+5+b+7e+fOUG2l5kL3eSa9sdY9XyppFZiJq4HtTyntQBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T09:00:47.237216Z"},"content_sha256":"35178ab3adc8d357805d34cd7ddee0e138e70d660926a9d48c8552ef85e77ac6","schema_version":"1.0","event_id":"sha256:35178ab3adc8d357805d34cd7ddee0e138e70d660926a9d48c8552ef85e77ac6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:T3PQLKFPXDTYBFTH7JNC25Z5RT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Emanuele Berti, Vitor Cardoso, Zhongyang Zhang","submitted_at":"2013-05-18T23:09:09Z","abstract_excerpt":"The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode excitation for Kerr black holes. Relying on the formalism developed by Mano, Suzuki and Takasugi, we improve and extend previous calculations of the quasinormal mode residues in the complex frequency plane (\"excitation factors\" B_q). Using these results we compute the \"excitation coefficients\" C_q (essentially the mode amplitudes) in the special case where the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4306","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":"2026-05-18T03:01:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"azXm/DZ8CepqFENBumtzIgplPH/fJUSgGr0tdDyWEkTEa+3BrOBr8jm/NqHvVBgX4B1p4B00kdU6xTdiPC/DCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T09:00:47.237581Z"},"content_sha256":"a8585d1e0548b68aebbb9e52119022a59724db99528360f960819befd40f3a6a","schema_version":"1.0","event_id":"sha256:a8585d1e0548b68aebbb9e52119022a59724db99528360f960819befd40f3a6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T3PQLKFPXDTYBFTH7JNC25Z5RT/bundle.json","state_url":"https://pith.science/pith/T3PQLKFPXDTYBFTH7JNC25Z5RT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T3PQLKFPXDTYBFTH7JNC25Z5RT/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":"2026-07-11T09:00:47Z","links":{"resolver":"https://pith.science/pith/T3PQLKFPXDTYBFTH7JNC25Z5RT","bundle":"https://pith.science/pith/T3PQLKFPXDTYBFTH7JNC25Z5RT/bundle.json","state":"https://pith.science/pith/T3PQLKFPXDTYBFTH7JNC25Z5RT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T3PQLKFPXDTYBFTH7JNC25Z5RT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:T3PQLKFPXDTYBFTH7JNC25Z5RT","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":"d35a00fc88ff5ca4f6452ca4b1e5d6f4f48887bc326f442b742e6dcc32857407","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T23:09:09Z","title_canon_sha256":"e51a3f7c59c60d36543e2690bd52be07315944bcb7e896c45b904447922769b8"},"schema_version":"1.0","source":{"id":"1305.4306","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4306","created_at":"2026-05-18T03:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4306v1","created_at":"2026-05-18T03:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4306","created_at":"2026-05-18T03:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"T3PQLKFPXDTY","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T3PQLKFPXDTYBFTH","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T3PQLKFP","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:a8585d1e0548b68aebbb9e52119022a59724db99528360f960819befd40f3a6a","target":"graph","created_at":"2026-05-18T03:01:25Z","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":"The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode excitation for Kerr black holes. Relying on the formalism developed by Mano, Suzuki and Takasugi, we improve and extend previous calculations of the quasinormal mode residues in the complex frequency plane (\"excitation factors\" B_q). Using these results we compute the \"excitation coefficients\" C_q (essentially the mode amplitudes) in the special case where the s","authors_text":"Emanuele Berti, Vitor Cardoso, Zhongyang Zhang","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T23:09:09Z","title":"Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4306","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":"sha256:35178ab3adc8d357805d34cd7ddee0e138e70d660926a9d48c8552ef85e77ac6","target":"record","created_at":"2026-05-18T03:01:25Z","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":"d35a00fc88ff5ca4f6452ca4b1e5d6f4f48887bc326f442b742e6dcc32857407","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T23:09:09Z","title_canon_sha256":"e51a3f7c59c60d36543e2690bd52be07315944bcb7e896c45b904447922769b8"},"schema_version":"1.0","source":{"id":"1305.4306","kind":"arxiv","version":1}},"canonical_sha256":"9edf05a8afb8e7809667fa5a2d773d8ccf22ff4105512088beeb349143d3e39f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9edf05a8afb8e7809667fa5a2d773d8ccf22ff4105512088beeb349143d3e39f","first_computed_at":"2026-05-18T03:01:25.318175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:25.318175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W0a49YX5feE/gR3suMtCIk5/xKVqwVfKf09TZhVrqsXeKlGvfpxmPxOBJqrec14MXtJWPsJiF+xN43U9Ald7Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:25.318651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4306","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35178ab3adc8d357805d34cd7ddee0e138e70d660926a9d48c8552ef85e77ac6","sha256:a8585d1e0548b68aebbb9e52119022a59724db99528360f960819befd40f3a6a"],"state_sha256":"70f5b204fbb89606976541773a2356aa584f6c6ed933c4c9b5dcd05e28492aa1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qh2Yx1tg5582lnGmpoDKKiRQDUPLZDpwM6DNr1wJ055ToLMhN7cZowOZjK/idw7WL/oys/vANhUW3VaHQmMgCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T09:00:47.239814Z","bundle_sha256":"1c11653e8469b538cc5a3be5af6194986a13f18e552bec0efaeade33337f00f0"}}