{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:772NJKGOJPC3QF22HLJ4VIWDAB","short_pith_number":"pith:772NJKGO","schema_version":"1.0","canonical_sha256":"fff4d4a8ce4bc5b8175a3ad3caa2c30048adf29f6664fe5df6ead2f80ec565f4","source":{"kind":"arxiv","id":"gr-qc/0310009","version":3},"attestation_state":"computed","paper":{"title":"Dirty black holes: Quasinormal modes","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A J M Medved, Damien Martin, Matt Visser","submitted_at":"2003-10-02T06:06:10Z","abstract_excerpt":"In this paper, we investigate the asymptotic nature of the quasinormal modes for \"dirty\" black holes -- generic static and spherically symmetric spacetimes for which a central black hole is surrounded by arbitrary \"matter\" fields. We demonstrate that, to the leading asymptotic order, the [imaginary] spacing between modes is precisely equal to the surface gravity, independent of the specifics of the black hole system.\n  Our analytical method is based on locating the complex poles in the first Born approximation for the scattering amplitude. We first verify that our formalism agrees, asymptotica"},"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/0310009","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2003-10-02T06:06:10Z","cross_cats_sorted":[],"title_canon_sha256":"b61f01cb386d32bbd2a8b4c400a2c595cfb6bc009f7fab2ae4fcab975b6ab495","abstract_canon_sha256":"14c7eda2bd21e2e9d572ba4750dc78877f32982622dc3e9b79e4a1a9a39cae32"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:40:17.447812Z","signature_b64":"Y3XhbKKS/gER8MPPbV7WlqBAIQiaaIL1AYvCv/nLKhmuLNeykJmjY0zFIKRz5AAFRmW+v3RgYaHrpr/uIRKLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fff4d4a8ce4bc5b8175a3ad3caa2c30048adf29f6664fe5df6ead2f80ec565f4","last_reissued_at":"2026-07-04T16:40:17.447382Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:40:17.447382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dirty black holes: Quasinormal modes","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A J M Medved, Damien Martin, Matt Visser","submitted_at":"2003-10-02T06:06:10Z","abstract_excerpt":"In this paper, we investigate the asymptotic nature of the quasinormal modes for \"dirty\" black holes -- generic static and spherically symmetric spacetimes for which a central black hole is surrounded by arbitrary \"matter\" fields. We demonstrate that, to the leading asymptotic order, the [imaginary] spacing between modes is precisely equal to the surface gravity, independent of the specifics of the black hole system.\n  Our analytical method is based on locating the complex poles in the first Born approximation for the scattering amplitude. We first verify that our formalism agrees, asymptotica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0310009","kind":"arxiv","version":3},"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/0310009/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/0310009","created_at":"2026-07-04T16:40:17.447448+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0310009v3","created_at":"2026-07-04T16:40:17.447448+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0310009","created_at":"2026-07-04T16:40:17.447448+00:00"},{"alias_kind":"pith_short_12","alias_value":"772NJKGOJPC3","created_at":"2026-07-04T16:40:17.447448+00:00"},{"alias_kind":"pith_short_16","alias_value":"772NJKGOJPC3QF22","created_at":"2026-07-04T16:40:17.447448+00:00"},{"alias_kind":"pith_short_8","alias_value":"772NJKGO","created_at":"2026-07-04T16:40:17.447448+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2603.23556","citing_title":"On regular black string spacetimes in nonlinear electrodynamics","ref_index":33,"is_internal_anchor":true},{"citing_arxiv_id":"1102.4014","citing_title":"Quasinormal modes of black holes: from astrophysics to string theory","ref_index":112,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/772NJKGOJPC3QF22HLJ4VIWDAB","json":"https://pith.science/pith/772NJKGOJPC3QF22HLJ4VIWDAB.json","graph_json":"https://pith.science/api/pith-number/772NJKGOJPC3QF22HLJ4VIWDAB/graph.json","events_json":"https://pith.science/api/pith-number/772NJKGOJPC3QF22HLJ4VIWDAB/events.json","paper":"https://pith.science/paper/772NJKGO"},"agent_actions":{"view_html":"https://pith.science/pith/772NJKGOJPC3QF22HLJ4VIWDAB","download_json":"https://pith.science/pith/772NJKGOJPC3QF22HLJ4VIWDAB.json","view_paper":"https://pith.science/paper/772NJKGO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0310009&json=true","fetch_graph":"https://pith.science/api/pith-number/772NJKGOJPC3QF22HLJ4VIWDAB/graph.json","fetch_events":"https://pith.science/api/pith-number/772NJKGOJPC3QF22HLJ4VIWDAB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/772NJKGOJPC3QF22HLJ4VIWDAB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/772NJKGOJPC3QF22HLJ4VIWDAB/action/storage_attestation","attest_author":"https://pith.science/pith/772NJKGOJPC3QF22HLJ4VIWDAB/action/author_attestation","sign_citation":"https://pith.science/pith/772NJKGOJPC3QF22HLJ4VIWDAB/action/citation_signature","submit_replication":"https://pith.science/pith/772NJKGOJPC3QF22HLJ4VIWDAB/action/replication_record"}},"created_at":"2026-07-04T16:40:17.447448+00:00","updated_at":"2026-07-04T16:40:17.447448+00:00"}