{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:JWP56BLVHACMPGCRAXCSBXG3RD","short_pith_number":"pith:JWP56BLV","schema_version":"1.0","canonical_sha256":"4d9fdf05753804c7985105c520dcdb88eb8899a769659e952b87795dd9eaea4d","source":{"kind":"arxiv","id":"2102.08060","version":3},"attestation_state":"computed","paper":{"title":"Gravitational perturbations from NHEK to Kerr","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alejandra Castro, Boyang Yu, Joan Sim\\'on, Victor Godet, Wei Song","submitted_at":"2021-02-16T10:12:38Z","abstract_excerpt":"We revisit the spectrum of linear axisymmetric gravitational perturbations of the (near-)extreme Kerr black hole. Our aim is to characterise those perturbations that are responsible for the deviations away from extremality, and to contrast them with the linearized perturbations treated in the Newman-Penrose formalism. For the near horizon region of the (near-)extreme Kerr solution, i.e. the (near-)NHEK background, we provide a complete characterisation of axisymmetric modes. This involves an infinite tower of propagating modes together with the much subtler low-lying mode sectors that contain "},"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":"2102.08060","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-02-16T10:12:38Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"65704103cfe2e070c113116721649788df41cc0247fd45d0b6e82e2e79c86f5d","abstract_canon_sha256":"54efa3d8441eb308fee27336a7e53d350145d772cec63e8472250365f1fa8507"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:06:19.701203Z","signature_b64":"g+9I8gxF3K0dA2UlPtx3dg61Jt1H58yyYyPD/UqkPyqKi4O4bV7U42ayyj/if44GEFNZoJZoEPhDitHlfBwXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d9fdf05753804c7985105c520dcdb88eb8899a769659e952b87795dd9eaea4d","last_reissued_at":"2026-07-05T03:06:19.700748Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:06:19.700748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gravitational perturbations from NHEK to Kerr","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alejandra Castro, Boyang Yu, Joan Sim\\'on, Victor Godet, Wei Song","submitted_at":"2021-02-16T10:12:38Z","abstract_excerpt":"We revisit the spectrum of linear axisymmetric gravitational perturbations of the (near-)extreme Kerr black hole. Our aim is to characterise those perturbations that are responsible for the deviations away from extremality, and to contrast them with the linearized perturbations treated in the Newman-Penrose formalism. For the near horizon region of the (near-)extreme Kerr solution, i.e. the (near-)NHEK background, we provide a complete characterisation of axisymmetric modes. This involves an infinite tower of propagating modes together with the much subtler low-lying mode sectors that contain "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.08060","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/2102.08060/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":"2102.08060","created_at":"2026-07-05T03:06:19.700806+00:00"},{"alias_kind":"arxiv_version","alias_value":"2102.08060v3","created_at":"2026-07-05T03:06:19.700806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.08060","created_at":"2026-07-05T03:06:19.700806+00:00"},{"alias_kind":"pith_short_12","alias_value":"JWP56BLVHACM","created_at":"2026-07-05T03:06:19.700806+00:00"},{"alias_kind":"pith_short_16","alias_value":"JWP56BLVHACMPGCR","created_at":"2026-07-05T03:06:19.700806+00:00"},{"alias_kind":"pith_short_8","alias_value":"JWP56BLV","created_at":"2026-07-05T03:06:19.700806+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08482","citing_title":"Quantum corrections to the near-extremal thermodynamics of (warped) BTZ black holes","ref_index":80,"is_internal_anchor":true},{"citing_arxiv_id":"2606.01025","citing_title":"Black holes with quantum corrections in $3d$: The case of Page curve in Lindblad, greybody factor, and Lyapunov exponent","ref_index":40,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JWP56BLVHACMPGCRAXCSBXG3RD","json":"https://pith.science/pith/JWP56BLVHACMPGCRAXCSBXG3RD.json","graph_json":"https://pith.science/api/pith-number/JWP56BLVHACMPGCRAXCSBXG3RD/graph.json","events_json":"https://pith.science/api/pith-number/JWP56BLVHACMPGCRAXCSBXG3RD/events.json","paper":"https://pith.science/paper/JWP56BLV"},"agent_actions":{"view_html":"https://pith.science/pith/JWP56BLVHACMPGCRAXCSBXG3RD","download_json":"https://pith.science/pith/JWP56BLVHACMPGCRAXCSBXG3RD.json","view_paper":"https://pith.science/paper/JWP56BLV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2102.08060&json=true","fetch_graph":"https://pith.science/api/pith-number/JWP56BLVHACMPGCRAXCSBXG3RD/graph.json","fetch_events":"https://pith.science/api/pith-number/JWP56BLVHACMPGCRAXCSBXG3RD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JWP56BLVHACMPGCRAXCSBXG3RD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JWP56BLVHACMPGCRAXCSBXG3RD/action/storage_attestation","attest_author":"https://pith.science/pith/JWP56BLVHACMPGCRAXCSBXG3RD/action/author_attestation","sign_citation":"https://pith.science/pith/JWP56BLVHACMPGCRAXCSBXG3RD/action/citation_signature","submit_replication":"https://pith.science/pith/JWP56BLVHACMPGCRAXCSBXG3RD/action/replication_record"}},"created_at":"2026-07-05T03:06:19.700806+00:00","updated_at":"2026-07-05T03:06:19.700806+00:00"}