{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:U3RTDTOJGFFZBZYQBGXFK5SMOI","short_pith_number":"pith:U3RTDTOJ","schema_version":"1.0","canonical_sha256":"a6e331cdc9314b90e71009ae55764c72020880c4008052e359f40b4aa1b8dd32","source":{"kind":"arxiv","id":"2307.10141","version":2},"attestation_state":"computed","paper":{"title":"Black hole perturbation theory and multiple polylogarithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alba Grassi, Alessandro Tanzini, Giulio Bonelli, Gleb Aminov, Paolo Arnaudo","submitted_at":"2023-07-19T17:10:16Z","abstract_excerpt":"We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved systematically via the Nekrasov-Shatashvili functions or, equivalently, classical Virasoro conformal blocks. However, this approach can be more complicated to implement for certain perturbations if the cosmological constant is negative. For these cases, we propose an alternative method to set up perturbation theory for both small and large black holes in an analytical manner. Our analysis"},"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":"2307.10141","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-19T17:10:16Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"d3fe90f7704f7d5d7cddf3c67dc94492ba19436fc03b90784b174005978d6817","abstract_canon_sha256":"579f9597100005091fc6f5b2b50f3ed2751c4a90f035fd23be33348e1123bf44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:13:24.114323Z","signature_b64":"NRaTTMbh5KiMiHJPpKI8ynWyuWHqL70ximMyglgdtWArag4psEIYAvZm4SK9qYiVz953VJRMcpHrP0JHbb9zDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6e331cdc9314b90e71009ae55764c72020880c4008052e359f40b4aa1b8dd32","last_reissued_at":"2026-07-05T07:13:24.113819Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:13:24.113819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Black hole perturbation theory and multiple polylogarithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alba Grassi, Alessandro Tanzini, Giulio Bonelli, Gleb Aminov, Paolo Arnaudo","submitted_at":"2023-07-19T17:10:16Z","abstract_excerpt":"We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved systematically via the Nekrasov-Shatashvili functions or, equivalently, classical Virasoro conformal blocks. However, this approach can be more complicated to implement for certain perturbations if the cosmological constant is negative. For these cases, we propose an alternative method to set up perturbation theory for both small and large black holes in an analytical manner. Our analysis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.10141","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/2307.10141/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":"2307.10141","created_at":"2026-07-05T07:13:24.113879+00:00"},{"alias_kind":"arxiv_version","alias_value":"2307.10141v2","created_at":"2026-07-05T07:13:24.113879+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.10141","created_at":"2026-07-05T07:13:24.113879+00:00"},{"alias_kind":"pith_short_12","alias_value":"U3RTDTOJGFFZ","created_at":"2026-07-05T07:13:24.113879+00:00"},{"alias_kind":"pith_short_16","alias_value":"U3RTDTOJGFFZBZYQ","created_at":"2026-07-05T07:13:24.113879+00:00"},{"alias_kind":"pith_short_8","alias_value":"U3RTDTOJ","created_at":"2026-07-05T07:13:24.113879+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"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":16,"is_internal_anchor":true},{"citing_arxiv_id":"2606.12529","citing_title":"Analytic approaches to perturbations of strongly coupled Yang-Mills plasma","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2606.07070","citing_title":"Gravitational waveforms from binaries in higher-derivative gravity: a Love story","ref_index":54,"is_internal_anchor":false},{"citing_arxiv_id":"2505.21489","citing_title":"5-Dimensional Gravitational Raman Scattering: Scalar Wave Perturbations in Schwarzschild-Tangherlini Spacetime","ref_index":69,"is_internal_anchor":false},{"citing_arxiv_id":"2603.11012","citing_title":"Bouncing singularities and thermal correlators on line defects","ref_index":92,"is_internal_anchor":false},{"citing_arxiv_id":"2604.04352","citing_title":"Superradiant Suppression of Non-minimally Coupled Scalar fields for a Rotating Charged dS Black Hole in Conformal Weyl Gravity","ref_index":79,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U3RTDTOJGFFZBZYQBGXFK5SMOI","json":"https://pith.science/pith/U3RTDTOJGFFZBZYQBGXFK5SMOI.json","graph_json":"https://pith.science/api/pith-number/U3RTDTOJGFFZBZYQBGXFK5SMOI/graph.json","events_json":"https://pith.science/api/pith-number/U3RTDTOJGFFZBZYQBGXFK5SMOI/events.json","paper":"https://pith.science/paper/U3RTDTOJ"},"agent_actions":{"view_html":"https://pith.science/pith/U3RTDTOJGFFZBZYQBGXFK5SMOI","download_json":"https://pith.science/pith/U3RTDTOJGFFZBZYQBGXFK5SMOI.json","view_paper":"https://pith.science/paper/U3RTDTOJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2307.10141&json=true","fetch_graph":"https://pith.science/api/pith-number/U3RTDTOJGFFZBZYQBGXFK5SMOI/graph.json","fetch_events":"https://pith.science/api/pith-number/U3RTDTOJGFFZBZYQBGXFK5SMOI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U3RTDTOJGFFZBZYQBGXFK5SMOI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U3RTDTOJGFFZBZYQBGXFK5SMOI/action/storage_attestation","attest_author":"https://pith.science/pith/U3RTDTOJGFFZBZYQBGXFK5SMOI/action/author_attestation","sign_citation":"https://pith.science/pith/U3RTDTOJGFFZBZYQBGXFK5SMOI/action/citation_signature","submit_replication":"https://pith.science/pith/U3RTDTOJGFFZBZYQBGXFK5SMOI/action/replication_record"}},"created_at":"2026-07-05T07:13:24.113879+00:00","updated_at":"2026-07-05T07:13:24.113879+00:00"}