{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:DXEGBEQMBSFMLUNO3AYCJPH4AF","short_pith_number":"pith:DXEGBEQM","schema_version":"1.0","canonical_sha256":"1dc860920c0c8ac5d1aed83024bcfc0174092986e97fa99ddb0a4ef62a8ef043","source":{"kind":"arxiv","id":"2112.11434","version":2},"attestation_state":"computed","paper":{"title":"A new method for exact results on Quasinormal Modes of Black Holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","nlin.SI"],"primary_cat":"hep-th","authors_text":"Daniele Gregori, Davide Fioravanti","submitted_at":"2021-12-21T18:52:09Z","abstract_excerpt":"We develop a new method for writing simple exact equations characterizing gravity solutions among which black holes and in particular the quasinormal modes. More precisely, we derive the full system of functional and Thermodynamic Bethe Ansatz non linear integral equations of quantum integrability. In particular, we prove that the Quasinormal Modes verify different equivalent exact quantization conditions and identify them with Bethe roots. We numerically solve the integral equation and compare the results with other methods. Eventually, we can definitely certify its simplicity, accuracy and e"},"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":"2112.11434","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-12-21T18:52:09Z","cross_cats_sorted":["gr-qc","nlin.SI"],"title_canon_sha256":"33f9c042fac7b4ed693cb65b8adac21ab4c69510618999ecd1befeda78aef07c","abstract_canon_sha256":"c5a86d7b8e3b26d10424a0068c7c7d23056d1f2332bde61a8b7df3d35ec0a411"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:08:41.572721Z","signature_b64":"gG6JA7R57lZSJsKCHsE5xJmmkuj2oZzHfv6Mp0EAlsvY/7f7GWApFAQZgVu7FDmdpGm4lrZl0HnIjdA9F28KBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dc860920c0c8ac5d1aed83024bcfc0174092986e97fa99ddb0a4ef62a8ef043","last_reissued_at":"2026-07-05T04:08:41.572150Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:08:41.572150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new method for exact results on Quasinormal Modes of Black Holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","nlin.SI"],"primary_cat":"hep-th","authors_text":"Daniele Gregori, Davide Fioravanti","submitted_at":"2021-12-21T18:52:09Z","abstract_excerpt":"We develop a new method for writing simple exact equations characterizing gravity solutions among which black holes and in particular the quasinormal modes. More precisely, we derive the full system of functional and Thermodynamic Bethe Ansatz non linear integral equations of quantum integrability. In particular, we prove that the Quasinormal Modes verify different equivalent exact quantization conditions and identify them with Bethe roots. We numerically solve the integral equation and compare the results with other methods. Eventually, we can definitely certify its simplicity, accuracy and e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.11434","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/2112.11434/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":"2112.11434","created_at":"2026-07-05T04:08:41.572213+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.11434v2","created_at":"2026-07-05T04:08:41.572213+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.11434","created_at":"2026-07-05T04:08:41.572213+00:00"},{"alias_kind":"pith_short_12","alias_value":"DXEGBEQMBSFM","created_at":"2026-07-05T04:08:41.572213+00:00"},{"alias_kind":"pith_short_16","alias_value":"DXEGBEQMBSFMLUNO","created_at":"2026-07-05T04:08:41.572213+00:00"},{"alias_kind":"pith_short_8","alias_value":"DXEGBEQM","created_at":"2026-07-05T04:08:41.572213+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08747","citing_title":"Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics","ref_index":20,"is_internal_anchor":true},{"citing_arxiv_id":"2606.12529","citing_title":"Analytic approaches to perturbations of strongly coupled Yang-Mills plasma","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2603.11012","citing_title":"Bouncing singularities and thermal correlators on line defects","ref_index":90,"is_internal_anchor":false},{"citing_arxiv_id":"2605.01321","citing_title":"Exact WKB and Quantum Periods for Extremal Black Hole Quasinormal Modes","ref_index":31,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DXEGBEQMBSFMLUNO3AYCJPH4AF","json":"https://pith.science/pith/DXEGBEQMBSFMLUNO3AYCJPH4AF.json","graph_json":"https://pith.science/api/pith-number/DXEGBEQMBSFMLUNO3AYCJPH4AF/graph.json","events_json":"https://pith.science/api/pith-number/DXEGBEQMBSFMLUNO3AYCJPH4AF/events.json","paper":"https://pith.science/paper/DXEGBEQM"},"agent_actions":{"view_html":"https://pith.science/pith/DXEGBEQMBSFMLUNO3AYCJPH4AF","download_json":"https://pith.science/pith/DXEGBEQMBSFMLUNO3AYCJPH4AF.json","view_paper":"https://pith.science/paper/DXEGBEQM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.11434&json=true","fetch_graph":"https://pith.science/api/pith-number/DXEGBEQMBSFMLUNO3AYCJPH4AF/graph.json","fetch_events":"https://pith.science/api/pith-number/DXEGBEQMBSFMLUNO3AYCJPH4AF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DXEGBEQMBSFMLUNO3AYCJPH4AF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DXEGBEQMBSFMLUNO3AYCJPH4AF/action/storage_attestation","attest_author":"https://pith.science/pith/DXEGBEQMBSFMLUNO3AYCJPH4AF/action/author_attestation","sign_citation":"https://pith.science/pith/DXEGBEQMBSFMLUNO3AYCJPH4AF/action/citation_signature","submit_replication":"https://pith.science/pith/DXEGBEQMBSFMLUNO3AYCJPH4AF/action/replication_record"}},"created_at":"2026-07-05T04:08:41.572213+00:00","updated_at":"2026-07-05T04:08:41.572213+00:00"}