{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:XK5BWC3FKRX3ZRZGWCIVXGCKGD","short_pith_number":"pith:XK5BWC3F","schema_version":"1.0","canonical_sha256":"baba1b0b65546fbcc726b0915b984a30f8f9e27dade31ee733a309fc5baf855a","source":{"kind":"arxiv","id":"2103.01234","version":3},"attestation_state":"computed","paper":{"title":"Hidden Symmetry of Vanishing Love","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":"2021-03-01T19:00:02Z","abstract_excerpt":"We show that perturbations of massless fields in the Kerr black hole background enjoy a hidden $SL(2,\\mathbb{R})\\times {U}(1)$ (\"Love\") symmetry in the properly defined near zone approximation. Love symmetry mixes IR and UV modes. Still, this approximate symmetry allows us to derive exact results about static tidal responses. Generators of the Love symmetry are globally well defined and have a smooth Schwarzschild limit. Generic regular solutions of the near zone Teukolsky equation form infinite-dimensional $SL(2,\\mathbb{R})$ representations. In some special cases ($\\hat{\\ell}$ parameter is an"},"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":"2103.01234","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-03-01T19:00:02Z","cross_cats_sorted":["astro-ph.HE","gr-qc","hep-ph"],"title_canon_sha256":"81af26f217b1824ffbcb6d2f22644177d201b5d54c5af170220abd4d426b3195","abstract_canon_sha256":"d2f8046ef7b62ffd04adc376e817f52cd3d67db0bf1e82a0437c69880dee06b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:18:26.501093Z","signature_b64":"ovpFgWqsiTTQZDknOuLI9Sf3XmXiXnR2alNByCcO64DGl9dpkcEeg3ujtpsMoaWBahRH2hJfvVpv5KsHCc8xBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"baba1b0b65546fbcc726b0915b984a30f8f9e27dade31ee733a309fc5baf855a","last_reissued_at":"2026-07-05T03:18:26.500555Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:18:26.500555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hidden Symmetry of Vanishing Love","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":"2021-03-01T19:00:02Z","abstract_excerpt":"We show that perturbations of massless fields in the Kerr black hole background enjoy a hidden $SL(2,\\mathbb{R})\\times {U}(1)$ (\"Love\") symmetry in the properly defined near zone approximation. Love symmetry mixes IR and UV modes. Still, this approximate symmetry allows us to derive exact results about static tidal responses. Generators of the Love symmetry are globally well defined and have a smooth Schwarzschild limit. Generic regular solutions of the near zone Teukolsky equation form infinite-dimensional $SL(2,\\mathbb{R})$ representations. In some special cases ($\\hat{\\ell}$ parameter is an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.01234","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/2103.01234/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":"2103.01234","created_at":"2026-07-05T03:18:26.500620+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.01234v3","created_at":"2026-07-05T03:18:26.500620+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.01234","created_at":"2026-07-05T03:18:26.500620+00:00"},{"alias_kind":"pith_short_12","alias_value":"XK5BWC3FKRX3","created_at":"2026-07-05T03:18:26.500620+00:00"},{"alias_kind":"pith_short_16","alias_value":"XK5BWC3FKRX3ZRZG","created_at":"2026-07-05T03:18:26.500620+00:00"},{"alias_kind":"pith_short_8","alias_value":"XK5BWC3F","created_at":"2026-07-05T03:18:26.500620+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":14,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.19281","citing_title":"Universal Closed Form for Dynamical Love Numbers of Black Holes","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2607.00559","citing_title":"Relaxation without ringdown for a compact object in modified gravity","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2504.07862","citing_title":"Resummation of Universal Tails in Gravitational Waveforms","ref_index":83,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21584","citing_title":"Wave-optics gravitational wave lensing in modified gravity","ref_index":148,"is_internal_anchor":false},{"citing_arxiv_id":"2605.16792","citing_title":"Static electromagnetic Love tensors of 5-dimensional Myers-Perry black holes","ref_index":5,"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":37,"is_internal_anchor":false},{"citing_arxiv_id":"2510.10036","citing_title":"Fermionic Love number of Reissner-Nordstr\\\"om black holes","ref_index":6,"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":91,"is_internal_anchor":false},{"citing_arxiv_id":"2512.05767","citing_title":"Tidal Love numbers for regular black holes","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2604.27046","citing_title":"Tidal Response and Thermodynamics of Black Holes","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2605.03025","citing_title":"Can wormholes have vanishing Love numbers?","ref_index":65,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06249","citing_title":"Universal Ladder Structure Across Scales: From Quantum to Black Hole Physics","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08653","citing_title":"Love numbers of black holes and compact objects","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2605.02633","citing_title":"Axial tidal Love numbers of black holes in matter environments","ref_index":41,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XK5BWC3FKRX3ZRZGWCIVXGCKGD","json":"https://pith.science/pith/XK5BWC3FKRX3ZRZGWCIVXGCKGD.json","graph_json":"https://pith.science/api/pith-number/XK5BWC3FKRX3ZRZGWCIVXGCKGD/graph.json","events_json":"https://pith.science/api/pith-number/XK5BWC3FKRX3ZRZGWCIVXGCKGD/events.json","paper":"https://pith.science/paper/XK5BWC3F"},"agent_actions":{"view_html":"https://pith.science/pith/XK5BWC3FKRX3ZRZGWCIVXGCKGD","download_json":"https://pith.science/pith/XK5BWC3FKRX3ZRZGWCIVXGCKGD.json","view_paper":"https://pith.science/paper/XK5BWC3F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.01234&json=true","fetch_graph":"https://pith.science/api/pith-number/XK5BWC3FKRX3ZRZGWCIVXGCKGD/graph.json","fetch_events":"https://pith.science/api/pith-number/XK5BWC3FKRX3ZRZGWCIVXGCKGD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XK5BWC3FKRX3ZRZGWCIVXGCKGD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XK5BWC3FKRX3ZRZGWCIVXGCKGD/action/storage_attestation","attest_author":"https://pith.science/pith/XK5BWC3FKRX3ZRZGWCIVXGCKGD/action/author_attestation","sign_citation":"https://pith.science/pith/XK5BWC3FKRX3ZRZGWCIVXGCKGD/action/citation_signature","submit_replication":"https://pith.science/pith/XK5BWC3FKRX3ZRZGWCIVXGCKGD/action/replication_record"}},"created_at":"2026-07-05T03:18:26.500620+00:00","updated_at":"2026-07-05T03:18:26.500620+00:00"}