{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:6AWXPKHFJBRY6TGASZ7XB2WS53","short_pith_number":"pith:6AWXPKHF","schema_version":"1.0","canonical_sha256":"f02d77a8e548638f4cc0967f70ead2eee02ffe6a0367d13093aceb1f4912c94f","source":{"kind":"arxiv","id":"2209.09274","version":1},"attestation_state":"computed","paper":{"title":"The large $N$ limit of topologically twisted indices: a direct approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alberto Zaffaroni, Seyed Morteza Hosseini","submitted_at":"2022-09-19T18:00:43Z","abstract_excerpt":"We study the large $N$ limit of the refined topologically twisted index of three-dimensional $\\mathcal{N} = 2$ gauge theories with a holographic dual, which is relevant for counting the number of microstates of rotating, magnetically charged and twisted AdS$_4$ black holes. As a difference with previous computations, we perform a direct saddle point analysis of the relevant matrix model. Among other things we explicitly identify the distribution of gauge magnetic fluxes that contributes at large $N$. The index exhibits a large $N$ factorized form in agreement with the supergravity expectations"},"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":"2209.09274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-09-19T18:00:43Z","cross_cats_sorted":[],"title_canon_sha256":"bfa4899dfeca75e756e7cc58e88e65f8e3687122b50b8ef5b8e05d191d08883b","abstract_canon_sha256":"8995c5dac1b5ab015a7adc3eb89574460df4536a752242d059709fb480919643"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:58:57.996242Z","signature_b64":"GABmreP3kXZkh9jOshcS++IceOCWcnrF6UqKfTfu065w+FJI5yJOz1Vt+9Wbl7MInkcA2ouArX+R43b8BPhCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f02d77a8e548638f4cc0967f70ead2eee02ffe6a0367d13093aceb1f4912c94f","last_reissued_at":"2026-07-05T04:58:57.995806Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:58:57.995806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The large $N$ limit of topologically twisted indices: a direct approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alberto Zaffaroni, Seyed Morteza Hosseini","submitted_at":"2022-09-19T18:00:43Z","abstract_excerpt":"We study the large $N$ limit of the refined topologically twisted index of three-dimensional $\\mathcal{N} = 2$ gauge theories with a holographic dual, which is relevant for counting the number of microstates of rotating, magnetically charged and twisted AdS$_4$ black holes. As a difference with previous computations, we perform a direct saddle point analysis of the relevant matrix model. Among other things we explicitly identify the distribution of gauge magnetic fluxes that contributes at large $N$. The index exhibits a large $N$ factorized form in agreement with the supergravity expectations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.09274","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/2209.09274/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":"2209.09274","created_at":"2026-07-05T04:58:57.995871+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.09274v1","created_at":"2026-07-05T04:58:57.995871+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.09274","created_at":"2026-07-05T04:58:57.995871+00:00"},{"alias_kind":"pith_short_12","alias_value":"6AWXPKHFJBRY","created_at":"2026-07-05T04:58:57.995871+00:00"},{"alias_kind":"pith_short_16","alias_value":"6AWXPKHFJBRY6TGA","created_at":"2026-07-05T04:58:57.995871+00:00"},{"alias_kind":"pith_short_8","alias_value":"6AWXPKHF","created_at":"2026-07-05T04:58:57.995871+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.23893","citing_title":"Towards OSV in AdS","ref_index":85,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6AWXPKHFJBRY6TGASZ7XB2WS53","json":"https://pith.science/pith/6AWXPKHFJBRY6TGASZ7XB2WS53.json","graph_json":"https://pith.science/api/pith-number/6AWXPKHFJBRY6TGASZ7XB2WS53/graph.json","events_json":"https://pith.science/api/pith-number/6AWXPKHFJBRY6TGASZ7XB2WS53/events.json","paper":"https://pith.science/paper/6AWXPKHF"},"agent_actions":{"view_html":"https://pith.science/pith/6AWXPKHFJBRY6TGASZ7XB2WS53","download_json":"https://pith.science/pith/6AWXPKHFJBRY6TGASZ7XB2WS53.json","view_paper":"https://pith.science/paper/6AWXPKHF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.09274&json=true","fetch_graph":"https://pith.science/api/pith-number/6AWXPKHFJBRY6TGASZ7XB2WS53/graph.json","fetch_events":"https://pith.science/api/pith-number/6AWXPKHFJBRY6TGASZ7XB2WS53/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6AWXPKHFJBRY6TGASZ7XB2WS53/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6AWXPKHFJBRY6TGASZ7XB2WS53/action/storage_attestation","attest_author":"https://pith.science/pith/6AWXPKHFJBRY6TGASZ7XB2WS53/action/author_attestation","sign_citation":"https://pith.science/pith/6AWXPKHFJBRY6TGASZ7XB2WS53/action/citation_signature","submit_replication":"https://pith.science/pith/6AWXPKHFJBRY6TGASZ7XB2WS53/action/replication_record"}},"created_at":"2026-07-05T04:58:57.995871+00:00","updated_at":"2026-07-05T04:58:57.995871+00:00"}