{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:IFNQAI3NNVDGGK3CW2BMP5UI5A","short_pith_number":"pith:IFNQAI3N","schema_version":"1.0","canonical_sha256":"415b00236d6d46632b62b682c7f688e83ba583425a1bc986f22442677543ccbe","source":{"kind":"arxiv","id":"2209.02091","version":1},"attestation_state":"computed","paper":{"title":"Love symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Mikhail M. Ivanov, Panagiotis Charalambous, Sergei Dubovsky","submitted_at":"2022-09-05T18:27:02Z","abstract_excerpt":"Perturbations of massless fields in the Kerr-Newman black hole background enjoy a (``Love'') SL$(2,\\mathbb{R})$ symmetry in the suitably defined near zone approximation. We present a detailed study of this symmetry and show how the intricate behavior of black hole responses in four and higher dimensions can be understood from the SL$(2,\\mathbb{R})$ representation theory. In particular, static perturbations of four-dimensional black holes belong to highest weight SL$\\left(2,\\mathbb{R}\\right)$ representations. It is this highest weight property that forces the static Love numbers to vanish. We f"},"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":"2209.02091","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-09-05T18:27:02Z","cross_cats_sorted":["astro-ph.HE","gr-qc","hep-ph"],"title_canon_sha256":"d08ea5829f81ca5840b4dc6256307203134e0d6a867277da79a6c4c451237d32","abstract_canon_sha256":"7e05e6ba0004002094f708c8b95ea71303aaca60d98c42d47c5415daa0e66173"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:18:37.957084Z","signature_b64":"FT+Nu7ZZfZdlLsrYQ3mY1nLcFzBQbSx1bxG8fz7O+8NAMeIg0Q0d2Kj93bUWgmmimdD33v1KWyGz8otkYOiDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"415b00236d6d46632b62b682c7f688e83ba583425a1bc986f22442677543ccbe","last_reissued_at":"2026-07-05T05:18:37.956644Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:18:37.956644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Love symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Mikhail M. Ivanov, Panagiotis Charalambous, Sergei Dubovsky","submitted_at":"2022-09-05T18:27:02Z","abstract_excerpt":"Perturbations of massless fields in the Kerr-Newman black hole background enjoy a (``Love'') SL$(2,\\mathbb{R})$ symmetry in the suitably defined near zone approximation. We present a detailed study of this symmetry and show how the intricate behavior of black hole responses in four and higher dimensions can be understood from the SL$(2,\\mathbb{R})$ representation theory. In particular, static perturbations of four-dimensional black holes belong to highest weight SL$\\left(2,\\mathbb{R}\\right)$ representations. It is this highest weight property that forces the static Love numbers to vanish. We f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.02091","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/2209.02091/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":"2209.02091","created_at":"2026-07-05T05:18:37.956701+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.02091v1","created_at":"2026-07-05T05:18:37.956701+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.02091","created_at":"2026-07-05T05:18:37.956701+00:00"},{"alias_kind":"pith_short_12","alias_value":"IFNQAI3NNVDG","created_at":"2026-07-05T05:18:37.956701+00:00"},{"alias_kind":"pith_short_16","alias_value":"IFNQAI3NNVDGGK3C","created_at":"2026-07-05T05:18:37.956701+00:00"},{"alias_kind":"pith_short_8","alias_value":"IFNQAI3N","created_at":"2026-07-05T05:18:37.956701+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":12,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.19281","citing_title":"Universal Closed Form for Dynamical Love Numbers of Black Holes","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2607.00559","citing_title":"Relaxation without ringdown for a compact object in modified gravity","ref_index":53,"is_internal_anchor":false},{"citing_arxiv_id":"2605.30411","citing_title":"Axions Create Singularities on Extremal Horizons","ref_index":36,"is_internal_anchor":false},{"citing_arxiv_id":"2504.07862","citing_title":"Resummation of Universal Tails in Gravitational Waveforms","ref_index":84,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21584","citing_title":"Wave-optics gravitational wave lensing in modified gravity","ref_index":151,"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":39,"is_internal_anchor":false},{"citing_arxiv_id":"2511.12580","citing_title":"Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT","ref_index":95,"is_internal_anchor":false},{"citing_arxiv_id":"2604.27046","citing_title":"Tidal Response and Thermodynamics of Black Holes","ref_index":45,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00693","citing_title":"Dynamical tidal Love numbers of black holes under generic perturbations: Connecting black hole perturbation theory with effective field theory","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08653","citing_title":"Love numbers of black holes and compact objects","ref_index":79,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06249","citing_title":"Universal Ladder Structure Across Scales: From Quantum to Black Hole Physics","ref_index":30,"is_internal_anchor":false},{"citing_arxiv_id":"2605.02633","citing_title":"Axial tidal Love numbers of black holes in matter environments","ref_index":42,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IFNQAI3NNVDGGK3CW2BMP5UI5A","json":"https://pith.science/pith/IFNQAI3NNVDGGK3CW2BMP5UI5A.json","graph_json":"https://pith.science/api/pith-number/IFNQAI3NNVDGGK3CW2BMP5UI5A/graph.json","events_json":"https://pith.science/api/pith-number/IFNQAI3NNVDGGK3CW2BMP5UI5A/events.json","paper":"https://pith.science/paper/IFNQAI3N"},"agent_actions":{"view_html":"https://pith.science/pith/IFNQAI3NNVDGGK3CW2BMP5UI5A","download_json":"https://pith.science/pith/IFNQAI3NNVDGGK3CW2BMP5UI5A.json","view_paper":"https://pith.science/paper/IFNQAI3N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.02091&json=true","fetch_graph":"https://pith.science/api/pith-number/IFNQAI3NNVDGGK3CW2BMP5UI5A/graph.json","fetch_events":"https://pith.science/api/pith-number/IFNQAI3NNVDGGK3CW2BMP5UI5A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IFNQAI3NNVDGGK3CW2BMP5UI5A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IFNQAI3NNVDGGK3CW2BMP5UI5A/action/storage_attestation","attest_author":"https://pith.science/pith/IFNQAI3NNVDGGK3CW2BMP5UI5A/action/author_attestation","sign_citation":"https://pith.science/pith/IFNQAI3NNVDGGK3CW2BMP5UI5A/action/citation_signature","submit_replication":"https://pith.science/pith/IFNQAI3NNVDGGK3CW2BMP5UI5A/action/replication_record"}},"created_at":"2026-07-05T05:18:37.956701+00:00","updated_at":"2026-07-05T05:18:37.956701+00:00"}