{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:IGDBCABU4M4HRXJ5ERUYQ2E2BW","short_pith_number":"pith:IGDBCABU","schema_version":"1.0","canonical_sha256":"4186110034e33878dd3d246988689a0db31593b796416be56f13dca6e5553994","source":{"kind":"arxiv","id":"gr-qc/0502023","version":1},"attestation_state":"computed","paper":{"title":"Dirac Quasinormal modes of Schwarzschild black hole","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Jiliang Jing","submitted_at":"2005-02-06T04:11:34Z","abstract_excerpt":"The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild black hole is investigated by using continued fraction and Hill-determinant approaches. It is shown that the fundamental quasinormal frequencies become evenly spaced for large angular quantum number and the spacing is given by $\\omega_{\\lambda+1}- \\omega_{\\lambda}=0.38490-0.00000i$. The angular quantum number has the surprising effect of increasing real part of the quasinormal frequencies, but it almost does not affect imaginary part, especially for low overtones. In addition, the quasinor"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"gr-qc/0502023","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-02-06T04:11:34Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"e317b5a9e2e0c1e2cff9676345b3628086fefa507e99b8656fb6cde97440ac6b","abstract_canon_sha256":"472a6d2e9344714cbf9b168058d4a6b66897542442862ee161f665fb1602bd1d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:55:10.047582Z","signature_b64":"TBUeZX7UHdk/wc6fIvdejc0a+4Of2s9422TjHUoEx0yh/a4FXfUJHg13IFbYfqdur+co0tY3F3GdcRFsuH+ZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4186110034e33878dd3d246988689a0db31593b796416be56f13dca6e5553994","last_reissued_at":"2026-07-04T16:55:10.047225Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:55:10.047225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dirac Quasinormal modes of Schwarzschild black hole","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Jiliang Jing","submitted_at":"2005-02-06T04:11:34Z","abstract_excerpt":"The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild black hole is investigated by using continued fraction and Hill-determinant approaches. It is shown that the fundamental quasinormal frequencies become evenly spaced for large angular quantum number and the spacing is given by $\\omega_{\\lambda+1}- \\omega_{\\lambda}=0.38490-0.00000i$. The angular quantum number has the surprising effect of increasing real part of the quasinormal frequencies, but it almost does not affect imaginary part, especially for low overtones. In addition, the quasinor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0502023","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0502023/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0502023","created_at":"2026-07-04T16:55:10.047287+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0502023v1","created_at":"2026-07-04T16:55:10.047287+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0502023","created_at":"2026-07-04T16:55:10.047287+00:00"},{"alias_kind":"pith_short_12","alias_value":"IGDBCABU4M4H","created_at":"2026-07-04T16:55:10.047287+00:00"},{"alias_kind":"pith_short_16","alias_value":"IGDBCABU4M4HRXJ5","created_at":"2026-07-04T16:55:10.047287+00:00"},{"alias_kind":"pith_short_8","alias_value":"IGDBCABU","created_at":"2026-07-04T16:55:10.047287+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"0905.2975","citing_title":"Quasinormal modes of black holes and black branes","ref_index":249,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IGDBCABU4M4HRXJ5ERUYQ2E2BW","json":"https://pith.science/pith/IGDBCABU4M4HRXJ5ERUYQ2E2BW.json","graph_json":"https://pith.science/api/pith-number/IGDBCABU4M4HRXJ5ERUYQ2E2BW/graph.json","events_json":"https://pith.science/api/pith-number/IGDBCABU4M4HRXJ5ERUYQ2E2BW/events.json","paper":"https://pith.science/paper/IGDBCABU"},"agent_actions":{"view_html":"https://pith.science/pith/IGDBCABU4M4HRXJ5ERUYQ2E2BW","download_json":"https://pith.science/pith/IGDBCABU4M4HRXJ5ERUYQ2E2BW.json","view_paper":"https://pith.science/paper/IGDBCABU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0502023&json=true","fetch_graph":"https://pith.science/api/pith-number/IGDBCABU4M4HRXJ5ERUYQ2E2BW/graph.json","fetch_events":"https://pith.science/api/pith-number/IGDBCABU4M4HRXJ5ERUYQ2E2BW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IGDBCABU4M4HRXJ5ERUYQ2E2BW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IGDBCABU4M4HRXJ5ERUYQ2E2BW/action/storage_attestation","attest_author":"https://pith.science/pith/IGDBCABU4M4HRXJ5ERUYQ2E2BW/action/author_attestation","sign_citation":"https://pith.science/pith/IGDBCABU4M4HRXJ5ERUYQ2E2BW/action/citation_signature","submit_replication":"https://pith.science/pith/IGDBCABU4M4HRXJ5ERUYQ2E2BW/action/replication_record"}},"created_at":"2026-07-04T16:55:10.047287+00:00","updated_at":"2026-07-04T16:55:10.047287+00:00"}