{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:2WLHKHHBG7ZFVMVQSKK4FOP3FA","short_pith_number":"pith:2WLHKHHB","schema_version":"1.0","canonical_sha256":"d596751ce137f25ab2b09295c2b9fb280ddc640ee9affe933b9d0f4758e0b79c","source":{"kind":"arxiv","id":"2210.09318","version":4},"attestation_state":"computed","paper":{"title":"Large $N$ Partition Functions of the ABJM Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Junho Hong, Nikolay Bobev, Valentin Reys","submitted_at":"2022-10-17T18:00:01Z","abstract_excerpt":"We study the large $N$ limit of some supersymmetric partition functions of the $\\mathrm{U}(N)_{k}\\times \\mathrm{U}(N)_{-k}$ ABJM theory computed by supersymmetric localization. We conjecture an explicit expression, valid to all orders in the large $N$ limit, for the partition function on the $\\mathrm{U}(1)\\times \\mathrm{U}(1)$ invariant squashed sphere in the presence of real masses in terms of an Airy function. Several non-trivial tests of this conjecture are presented. In addition, we derive an explicit compact expression for the topologically twisted index of the ABJM theory valid at fixed "},"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":"2210.09318","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-17T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"4f29b0db74dfeb312b0155c119fc658b794c3bb0ec180a0380cea839c2aab7f6","abstract_canon_sha256":"8dd83bb9f0ebbe589caa27ca07137da4978dc1fd96d09065f52a6aaa7f7e3159"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:08:39.833387Z","signature_b64":"4N5/3HH9toxLJzbzTDjIcdys6NyoyHY4LyB4qz6Qst8dnD2Y092NN1QyzJxkvx1S5tYoBvAOvnxQJfs9bkXIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d596751ce137f25ab2b09295c2b9fb280ddc640ee9affe933b9d0f4758e0b79c","last_reissued_at":"2026-07-05T07:08:39.832998Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:08:39.832998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large $N$ Partition Functions of the ABJM Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Junho Hong, Nikolay Bobev, Valentin Reys","submitted_at":"2022-10-17T18:00:01Z","abstract_excerpt":"We study the large $N$ limit of some supersymmetric partition functions of the $\\mathrm{U}(N)_{k}\\times \\mathrm{U}(N)_{-k}$ ABJM theory computed by supersymmetric localization. We conjecture an explicit expression, valid to all orders in the large $N$ limit, for the partition function on the $\\mathrm{U}(1)\\times \\mathrm{U}(1)$ invariant squashed sphere in the presence of real masses in terms of an Airy function. Several non-trivial tests of this conjecture are presented. In addition, we derive an explicit compact expression for the topologically twisted index of the ABJM theory valid at fixed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.09318","kind":"arxiv","version":4},"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/2210.09318/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":"2210.09318","created_at":"2026-07-05T07:08:39.833051+00:00"},{"alias_kind":"arxiv_version","alias_value":"2210.09318v4","created_at":"2026-07-05T07:08:39.833051+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.09318","created_at":"2026-07-05T07:08:39.833051+00:00"},{"alias_kind":"pith_short_12","alias_value":"2WLHKHHBG7ZF","created_at":"2026-07-05T07:08:39.833051+00:00"},{"alias_kind":"pith_short_16","alias_value":"2WLHKHHBG7ZFVMVQ","created_at":"2026-07-05T07:08:39.833051+00:00"},{"alias_kind":"pith_short_8","alias_value":"2WLHKHHB","created_at":"2026-07-05T07:08:39.833051+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.06493","citing_title":"Holographic Tests of the $\\mu$ Ensemble","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2606.23893","citing_title":"Towards OSV in AdS","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2606.01167","citing_title":"One-loop divergences for KK theories on $\\mathrm{AdS}\\times S$ spaces; a reanalysis of $\\mathrm{AdS}_4 \\times S^7\\,\\big/$ ABJM precision holography","ref_index":84,"is_internal_anchor":false},{"citing_arxiv_id":"2603.19159","citing_title":"$S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves","ref_index":85,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08656","citing_title":"Equivariant localization for higher derivative supergravity","ref_index":10,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2WLHKHHBG7ZFVMVQSKK4FOP3FA","json":"https://pith.science/pith/2WLHKHHBG7ZFVMVQSKK4FOP3FA.json","graph_json":"https://pith.science/api/pith-number/2WLHKHHBG7ZFVMVQSKK4FOP3FA/graph.json","events_json":"https://pith.science/api/pith-number/2WLHKHHBG7ZFVMVQSKK4FOP3FA/events.json","paper":"https://pith.science/paper/2WLHKHHB"},"agent_actions":{"view_html":"https://pith.science/pith/2WLHKHHBG7ZFVMVQSKK4FOP3FA","download_json":"https://pith.science/pith/2WLHKHHBG7ZFVMVQSKK4FOP3FA.json","view_paper":"https://pith.science/paper/2WLHKHHB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2210.09318&json=true","fetch_graph":"https://pith.science/api/pith-number/2WLHKHHBG7ZFVMVQSKK4FOP3FA/graph.json","fetch_events":"https://pith.science/api/pith-number/2WLHKHHBG7ZFVMVQSKK4FOP3FA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2WLHKHHBG7ZFVMVQSKK4FOP3FA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2WLHKHHBG7ZFVMVQSKK4FOP3FA/action/storage_attestation","attest_author":"https://pith.science/pith/2WLHKHHBG7ZFVMVQSKK4FOP3FA/action/author_attestation","sign_citation":"https://pith.science/pith/2WLHKHHBG7ZFVMVQSKK4FOP3FA/action/citation_signature","submit_replication":"https://pith.science/pith/2WLHKHHBG7ZFVMVQSKK4FOP3FA/action/replication_record"}},"created_at":"2026-07-05T07:08:39.833051+00:00","updated_at":"2026-07-05T07:08:39.833051+00:00"}