{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:FS7J56DBYS7P5EQDCU2Z5WOYWL","short_pith_number":"pith:FS7J56DB","schema_version":"1.0","canonical_sha256":"2cbe9ef861c4befe920315359ed9d8b2ed0871731caabaf1a0466e539f1ce39f","source":{"kind":"arxiv","id":"2309.02560","version":2},"attestation_state":"computed","paper":{"title":"Analytic expressions for quasinormal modes and grey-body factors in the eikonal limit and beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. Zhidenko, R. A. Konoplya","submitted_at":"2023-09-05T20:07:39Z","abstract_excerpt":"Although the WKB series converges only asymptotically and guarantees the exact result solely in the eikonal regime, we have managed to derive concise analytical expressions for the quasinormal modes and grey-body factors of black holes, expanding beyond the eikonal approximation. Remarkably, these expressions demonstrate unexpectedly strong accuracy. We suggest a comprehensive approach for deriving analytical expressions for grey-body factors and quasinormal modes at various orders beyond the eikonal approximation. Two cases are examined as examples: the Schwarzschild-de Sitter black hole and "},"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":"2309.02560","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-09-05T20:07:39Z","cross_cats_sorted":[],"title_canon_sha256":"892391c6883f46021e2ee5f93edc093716ddbd4a3fd87198ddea5014a89ee56e","abstract_canon_sha256":"b59577a3bd1be6415106a1cc5a6f00820d86ed49a2f57960f9b0d21336ef7295"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:14:56.559396Z","signature_b64":"x++Q9wfoH2fga4XQxJis6dn+yPB09N1oZarGO2dhwZz0tP6IcP4fXOb2iEPiDJJLNTW0DCfXpWt2pI8rUwlKBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cbe9ef861c4befe920315359ed9d8b2ed0871731caabaf1a0466e539f1ce39f","last_reissued_at":"2026-07-05T07:14:56.558876Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:14:56.558876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic expressions for quasinormal modes and grey-body factors in the eikonal limit and beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. Zhidenko, R. A. Konoplya","submitted_at":"2023-09-05T20:07:39Z","abstract_excerpt":"Although the WKB series converges only asymptotically and guarantees the exact result solely in the eikonal regime, we have managed to derive concise analytical expressions for the quasinormal modes and grey-body factors of black holes, expanding beyond the eikonal approximation. Remarkably, these expressions demonstrate unexpectedly strong accuracy. We suggest a comprehensive approach for deriving analytical expressions for grey-body factors and quasinormal modes at various orders beyond the eikonal approximation. Two cases are examined as examples: the Schwarzschild-de Sitter black hole and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.02560","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/2309.02560/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":"2309.02560","created_at":"2026-07-05T07:14:56.558931+00:00"},{"alias_kind":"arxiv_version","alias_value":"2309.02560v2","created_at":"2026-07-05T07:14:56.558931+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.02560","created_at":"2026-07-05T07:14:56.558931+00:00"},{"alias_kind":"pith_short_12","alias_value":"FS7J56DBYS7P","created_at":"2026-07-05T07:14:56.558931+00:00"},{"alias_kind":"pith_short_16","alias_value":"FS7J56DBYS7P5EQD","created_at":"2026-07-05T07:14:56.558931+00:00"},{"alias_kind":"pith_short_8","alias_value":"FS7J56DB","created_at":"2026-07-05T07:14:56.558931+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":17,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07955","citing_title":"Wave and particle probes of a regular T-duality-inspired black hole with gravitational self-energy","ref_index":105,"is_internal_anchor":true},{"citing_arxiv_id":"2606.08631","citing_title":"Hawking Radiation from the Dymnikova Regular Black Hole","ref_index":84,"is_internal_anchor":false},{"citing_arxiv_id":"2606.08351","citing_title":"Hawking Emission from Black Holes Evaporating toward Wormholes and the Accuracy of the WKB Approximation","ref_index":70,"is_internal_anchor":false},{"citing_arxiv_id":"2606.03842","citing_title":"Scattering and Hawking Radiation from Einstein--Euler--Heisenberg--de Sitter Black Holes","ref_index":60,"is_internal_anchor":false},{"citing_arxiv_id":"2605.25076","citing_title":"Grey-Body Factors and Thermodynamics of Asymptotically de Sitter Black Holes in Generalized Proca Theory","ref_index":71,"is_internal_anchor":false},{"citing_arxiv_id":"2605.28917","citing_title":"Greybody Factors, Absorption Cross Sections and Hawking Radiation of Holonomy-Corrected Schwarzschild Black Holes","ref_index":72,"is_internal_anchor":false},{"citing_arxiv_id":"2601.22340","citing_title":"Grey-body factors of higher dimensional regular black holes in quasi-topological theories","ref_index":95,"is_internal_anchor":false},{"citing_arxiv_id":"2603.28557","citing_title":"Eikonal quasinormal modes, greybody factors and shadow of charged accelerating black holes","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21533","citing_title":"Long-lived quasinormal modes of Asymptotically de Sitter Black Holes in Generalized Proca Theory","ref_index":98,"is_internal_anchor":false},{"citing_arxiv_id":"2601.22340","citing_title":"Grey-body factors of higher dimensional regular black holes in quasi-topological theories","ref_index":95,"is_internal_anchor":false},{"citing_arxiv_id":"2512.23510","citing_title":"Quasinormal mode/grey-body factor correspondence for Kerr black holes","ref_index":69,"is_internal_anchor":false},{"citing_arxiv_id":"2603.10844","citing_title":"Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity","ref_index":188,"is_internal_anchor":false},{"citing_arxiv_id":"2605.12113","citing_title":"Quasinormal Spectra of Fields of Various Spin in Asymptotically de Sitter Black Holes within Generalized Proca Theory","ref_index":53,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03659","citing_title":"Long-lived massive scalar modes, grey-body factors, and absorption cross sections of the Reissner--Nordstr\\\"om-like brane-world black hole","ref_index":97,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26166","citing_title":"Scattering of electromagnetic field in quasi-topological gravity","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2604.05084","citing_title":"Parametrized quasinormal modes, greybody factors and their correspondence","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2604.13613","citing_title":"From Ringdown to Lensing: Analytic Eikonal Modes of Quasi-Topological Regular Black Holes","ref_index":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FS7J56DBYS7P5EQDCU2Z5WOYWL","json":"https://pith.science/pith/FS7J56DBYS7P5EQDCU2Z5WOYWL.json","graph_json":"https://pith.science/api/pith-number/FS7J56DBYS7P5EQDCU2Z5WOYWL/graph.json","events_json":"https://pith.science/api/pith-number/FS7J56DBYS7P5EQDCU2Z5WOYWL/events.json","paper":"https://pith.science/paper/FS7J56DB"},"agent_actions":{"view_html":"https://pith.science/pith/FS7J56DBYS7P5EQDCU2Z5WOYWL","download_json":"https://pith.science/pith/FS7J56DBYS7P5EQDCU2Z5WOYWL.json","view_paper":"https://pith.science/paper/FS7J56DB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2309.02560&json=true","fetch_graph":"https://pith.science/api/pith-number/FS7J56DBYS7P5EQDCU2Z5WOYWL/graph.json","fetch_events":"https://pith.science/api/pith-number/FS7J56DBYS7P5EQDCU2Z5WOYWL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FS7J56DBYS7P5EQDCU2Z5WOYWL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FS7J56DBYS7P5EQDCU2Z5WOYWL/action/storage_attestation","attest_author":"https://pith.science/pith/FS7J56DBYS7P5EQDCU2Z5WOYWL/action/author_attestation","sign_citation":"https://pith.science/pith/FS7J56DBYS7P5EQDCU2Z5WOYWL/action/citation_signature","submit_replication":"https://pith.science/pith/FS7J56DBYS7P5EQDCU2Z5WOYWL/action/replication_record"}},"created_at":"2026-07-05T07:14:56.558931+00:00","updated_at":"2026-07-05T07:14:56.558931+00:00"}