{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:K2U3BEKESTU2SX2QSBFGUAQVDZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"23ad632495e35c1d34e37ce3baf28e9e73ef5db21dd1e2a286b2d8ae64d72145","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-17T17:45:05Z","title_canon_sha256":"3b46b33f4acf239aafc12b8ee7bd8be3440a563847c4e89fc63d04dd45443c15"},"schema_version":"1.0","source":{"id":"1110.3740","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3740","created_at":"2026-05-18T02:21:35Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3740v3","created_at":"2026-05-18T02:21:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3740","created_at":"2026-05-18T02:21:35Z"},{"alias_kind":"pith_short_12","alias_value":"K2U3BEKESTU2","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"K2U3BEKESTU2SX2Q","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"K2U3BEKE","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:ee62605bac36e56bff3700ed5c637f779b819d61ada9192e64ce6db4539cc023","target":"graph","created_at":"2026-05-18T02:21:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the N=2 four-dimensional superconformal index in various interesting limits, such that only states annihilated by more than one supercharge contribute. Extrapolating from the SU(2) generalized quivers, which have a Lagrangian description, we conjecture explicit formulae for all A-type quivers of class S, which in general do not have one. We test our proposals against several expected dualities. The index can always be interpreted as a correlator in a two-dimensional topological theory, which we identify in each limit as a certain deformation of two-dimensional Yang-Mills theory. The s","authors_text":"Abhijit Gadde, Leonardo Rastelli, Shlomo S. Razamat, WenBin Yan","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-17T17:45:05Z","title":"Gauge Theories and Macdonald Polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3740","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c854f79304e58778dc6f67ad2d65048d5b345b1b963aa2fc3d12724291180579","target":"record","created_at":"2026-05-18T02:21:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"23ad632495e35c1d34e37ce3baf28e9e73ef5db21dd1e2a286b2d8ae64d72145","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-17T17:45:05Z","title_canon_sha256":"3b46b33f4acf239aafc12b8ee7bd8be3440a563847c4e89fc63d04dd45443c15"},"schema_version":"1.0","source":{"id":"1110.3740","kind":"arxiv","version":3}},"canonical_sha256":"56a9b0914494e9a95f50904a6a02151e76cd1fbcf3b0e1cdf0f4a88b6a66a60e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56a9b0914494e9a95f50904a6a02151e76cd1fbcf3b0e1cdf0f4a88b6a66a60e","first_computed_at":"2026-05-18T02:21:35.254035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:35.254035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"roO/uP7qxFfH8jfwDpqQhDiRdPlM0qy8i+CiR4uoVddTc+YesP0cY+CG7OEYaH+iXU6hLyTV6v1fSjeQvPhqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:35.254628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3740","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c854f79304e58778dc6f67ad2d65048d5b345b1b963aa2fc3d12724291180579","sha256:ee62605bac36e56bff3700ed5c637f779b819d61ada9192e64ce6db4539cc023"],"state_sha256":"1c896d62c52cddc6f91c7cbf7d2ff7df76a458e3d1b6fc56cc117b3bb315d736"}