{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:XRR5H6BSWCQOGETUWXFBKWV2UW","short_pith_number":"pith:XRR5H6BS","schema_version":"1.0","canonical_sha256":"bc63d3f832b0a0e31274b5ca155abaa5838e1df1ba52fd1bc1db6963f9e3bc15","source":{"kind":"arxiv","id":"2401.10977","version":2},"attestation_state":"computed","paper":{"title":"Localization and Attraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alice L\\\"uscher, James Sparks, Jerome P. Gauntlett, Pietro Benetti Genolini, Yusheng Jiao","submitted_at":"2024-01-19T19:00:00Z","abstract_excerpt":"We use equivariant localization to construct off-shell entropy functions for supersymmetric black holes in $\\mathcal{N}=2$, $D=4$ gauged supergravity coupled to matter. This allows one to compute the black hole entropy without solving the supergravity equations of motion and provides a novel generalization of the attractor mechanism. We consider magnetically charged black holes in $AdS_4$ which have an $AdS_2\\times M_2$ near horizon geometry, where $M_2$ is a sphere or a spindle, and we also obtain entropy functions for ungauged supergravity as a simple corollary. We derive analogous results 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":"2401.10977","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-19T19:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"f89586d8180dbb5b912d771d55a14bfb20cb7da7c21c7644720df1b9732e6423","abstract_canon_sha256":"1f56cd7940e5030d456aa10608c17aecdfd945bee45fc559d8af08fffb8c2856"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:48:30.938200Z","signature_b64":"dc7m75fgMWAS0fvF24PStvAl8i6nyCLssoPWos8o0OsH5yIMwu4F64EPcrXvqkjCcFrvDP+Uxqazmo+onNKuBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc63d3f832b0a0e31274b5ca155abaa5838e1df1ba52fd1bc1db6963f9e3bc15","last_reissued_at":"2026-07-05T09:48:30.937706Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:48:30.937706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Localization and Attraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alice L\\\"uscher, James Sparks, Jerome P. Gauntlett, Pietro Benetti Genolini, Yusheng Jiao","submitted_at":"2024-01-19T19:00:00Z","abstract_excerpt":"We use equivariant localization to construct off-shell entropy functions for supersymmetric black holes in $\\mathcal{N}=2$, $D=4$ gauged supergravity coupled to matter. This allows one to compute the black hole entropy without solving the supergravity equations of motion and provides a novel generalization of the attractor mechanism. We consider magnetically charged black holes in $AdS_4$ which have an $AdS_2\\times M_2$ near horizon geometry, where $M_2$ is a sphere or a spindle, and we also obtain entropy functions for ungauged supergravity as a simple corollary. We derive analogous results f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.10977","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/2401.10977/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":"2401.10977","created_at":"2026-07-05T09:48:30.937765+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.10977v2","created_at":"2026-07-05T09:48:30.937765+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.10977","created_at":"2026-07-05T09:48:30.937765+00:00"},{"alias_kind":"pith_short_12","alias_value":"XRR5H6BSWCQO","created_at":"2026-07-05T09:48:30.937765+00:00"},{"alias_kind":"pith_short_16","alias_value":"XRR5H6BSWCQOGETU","created_at":"2026-07-05T09:48:30.937765+00:00"},{"alias_kind":"pith_short_8","alias_value":"XRR5H6BS","created_at":"2026-07-05T09:48:30.937765+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.23893","citing_title":"Towards OSV in AdS","ref_index":105,"is_internal_anchor":false},{"citing_arxiv_id":"2511.01964","citing_title":"Spindle solutions, hyperscalars and smooth uplifts","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2508.08207","citing_title":"Equivariant localization for $D=5$ gauged supergravity","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26786","citing_title":"Probing black holes with equivariant localization","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04140","citing_title":"Spindle solutions with hyperscalars in $D=4$ gauged supergravity","ref_index":42,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XRR5H6BSWCQOGETUWXFBKWV2UW","json":"https://pith.science/pith/XRR5H6BSWCQOGETUWXFBKWV2UW.json","graph_json":"https://pith.science/api/pith-number/XRR5H6BSWCQOGETUWXFBKWV2UW/graph.json","events_json":"https://pith.science/api/pith-number/XRR5H6BSWCQOGETUWXFBKWV2UW/events.json","paper":"https://pith.science/paper/XRR5H6BS"},"agent_actions":{"view_html":"https://pith.science/pith/XRR5H6BSWCQOGETUWXFBKWV2UW","download_json":"https://pith.science/pith/XRR5H6BSWCQOGETUWXFBKWV2UW.json","view_paper":"https://pith.science/paper/XRR5H6BS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.10977&json=true","fetch_graph":"https://pith.science/api/pith-number/XRR5H6BSWCQOGETUWXFBKWV2UW/graph.json","fetch_events":"https://pith.science/api/pith-number/XRR5H6BSWCQOGETUWXFBKWV2UW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XRR5H6BSWCQOGETUWXFBKWV2UW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XRR5H6BSWCQOGETUWXFBKWV2UW/action/storage_attestation","attest_author":"https://pith.science/pith/XRR5H6BSWCQOGETUWXFBKWV2UW/action/author_attestation","sign_citation":"https://pith.science/pith/XRR5H6BSWCQOGETUWXFBKWV2UW/action/citation_signature","submit_replication":"https://pith.science/pith/XRR5H6BSWCQOGETUWXFBKWV2UW/action/replication_record"}},"created_at":"2026-07-05T09:48:30.937765+00:00","updated_at":"2026-07-05T09:48:30.937765+00:00"}