{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:EY6GZELUFBZTUOVVCFID2C2BGF","short_pith_number":"pith:EY6GZELU","schema_version":"1.0","canonical_sha256":"263c6c917428733a3ab511503d0b41314acf6f1da623c2c7410c8473d79cf8a6","source":{"kind":"arxiv","id":"2503.09350","version":1},"attestation_state":"computed","paper":{"title":"Non-linear Quasi-Normal Modes of the Schwarzschild Black Hole from the Penrose Limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph"],"primary_cat":"gr-qc","authors_text":"Alex Kehagias, Antonio Riotto, Davide Perrone","submitted_at":"2025-03-12T12:51:58Z","abstract_excerpt":"The Penrose limit connects a plane wave geometry to the photon ring of a black hole, where the quasi-normal modes are located in the eikonal limit. Utilizing this simplification, we analytically extract the quadratic-level non-linearities in the quasi-normal modes of a Schwarzschild black hole for the $(\\ell\\times\\ell)\\to 2\\ell$ channel. We demonstrate that this result is independent of $\\ell$ and further confirm it through symmetry arguments."},"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":"2503.09350","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-12T12:51:58Z","cross_cats_sorted":["astro-ph.CO","hep-ph"],"title_canon_sha256":"f4122cdb51f489b348fa22edc73e4f6c6443d00950f06642543fa1d521b3d9d6","abstract_canon_sha256":"0b023b60e397ecee402d8da5e908465d206ab1b28cb654bcd9af6c7c523bae8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:29:54.506093Z","signature_b64":"GDUc0+NgG685ttPC5/CYnoiE2dj5EwcB+6ujI0WarDQkkrqhcUUb2VsdHU7ApK3YeSafABRH3WK/LNQuoU7OAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"263c6c917428733a3ab511503d0b41314acf6f1da623c2c7410c8473d79cf8a6","last_reissued_at":"2026-07-05T10:29:54.505148Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:29:54.505148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-linear Quasi-Normal Modes of the Schwarzschild Black Hole from the Penrose Limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph"],"primary_cat":"gr-qc","authors_text":"Alex Kehagias, Antonio Riotto, Davide Perrone","submitted_at":"2025-03-12T12:51:58Z","abstract_excerpt":"The Penrose limit connects a plane wave geometry to the photon ring of a black hole, where the quasi-normal modes are located in the eikonal limit. Utilizing this simplification, we analytically extract the quadratic-level non-linearities in the quasi-normal modes of a Schwarzschild black hole for the $(\\ell\\times\\ell)\\to 2\\ell$ channel. We demonstrate that this result is independent of $\\ell$ and further confirm it through symmetry arguments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.09350","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/2503.09350/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":"2503.09350","created_at":"2026-07-05T10:29:54.505293+00:00"},{"alias_kind":"arxiv_version","alias_value":"2503.09350v1","created_at":"2026-07-05T10:29:54.505293+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.09350","created_at":"2026-07-05T10:29:54.505293+00:00"},{"alias_kind":"pith_short_12","alias_value":"EY6GZELUFBZT","created_at":"2026-07-05T10:29:54.505293+00:00"},{"alias_kind":"pith_short_16","alias_value":"EY6GZELUFBZTUOVV","created_at":"2026-07-05T10:29:54.505293+00:00"},{"alias_kind":"pith_short_8","alias_value":"EY6GZELU","created_at":"2026-07-05T10:29:54.505293+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2505.23895","citing_title":"Black hole spectroscopy: from theory to experiment","ref_index":269,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03018","citing_title":"Gravitational electric-magnetic duality at the light ring and quasinormal mode isospectrality in effective field theories","ref_index":63,"is_internal_anchor":false},{"citing_arxiv_id":"2604.13516","citing_title":"Quasinormal Modes of pp-Wave Spacetimes and Zero Temperature Dissipation","ref_index":17,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EY6GZELUFBZTUOVVCFID2C2BGF","json":"https://pith.science/pith/EY6GZELUFBZTUOVVCFID2C2BGF.json","graph_json":"https://pith.science/api/pith-number/EY6GZELUFBZTUOVVCFID2C2BGF/graph.json","events_json":"https://pith.science/api/pith-number/EY6GZELUFBZTUOVVCFID2C2BGF/events.json","paper":"https://pith.science/paper/EY6GZELU"},"agent_actions":{"view_html":"https://pith.science/pith/EY6GZELUFBZTUOVVCFID2C2BGF","download_json":"https://pith.science/pith/EY6GZELUFBZTUOVVCFID2C2BGF.json","view_paper":"https://pith.science/paper/EY6GZELU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2503.09350&json=true","fetch_graph":"https://pith.science/api/pith-number/EY6GZELUFBZTUOVVCFID2C2BGF/graph.json","fetch_events":"https://pith.science/api/pith-number/EY6GZELUFBZTUOVVCFID2C2BGF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EY6GZELUFBZTUOVVCFID2C2BGF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EY6GZELUFBZTUOVVCFID2C2BGF/action/storage_attestation","attest_author":"https://pith.science/pith/EY6GZELUFBZTUOVVCFID2C2BGF/action/author_attestation","sign_citation":"https://pith.science/pith/EY6GZELUFBZTUOVVCFID2C2BGF/action/citation_signature","submit_replication":"https://pith.science/pith/EY6GZELUFBZTUOVVCFID2C2BGF/action/replication_record"}},"created_at":"2026-07-05T10:29:54.505293+00:00","updated_at":"2026-07-05T10:29:54.505293+00:00"}