{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WW5PF6HCN55MJKP4AKX37AOCYZ","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":"fe95c82bfe745b63953a3fab3ee0b569f851772f478ad42ddce3c1ac1a095b74","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-12-09T22:25:54Z","title_canon_sha256":"3efaed54ba510fd6a46a597d2872efd7bf14ec80102256c27fba123e6b1bdb3c"},"schema_version":"1.0","source":{"id":"1912.04407","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.04407","created_at":"2026-07-05T01:12:30Z"},{"alias_kind":"arxiv_version","alias_value":"1912.04407v3","created_at":"2026-07-05T01:12:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.04407","created_at":"2026-07-05T01:12:30Z"},{"alias_kind":"pith_short_12","alias_value":"WW5PF6HCN55M","created_at":"2026-07-05T01:12:30Z"},{"alias_kind":"pith_short_16","alias_value":"WW5PF6HCN55MJKP4","created_at":"2026-07-05T01:12:30Z"},{"alias_kind":"pith_short_8","alias_value":"WW5PF6HC","created_at":"2026-07-05T01:12:30Z"}],"graph_snapshots":[{"event_id":"sha256:bfd2f1f6fc2b7d0ad6056cf573cce0a7ab7d543dc22b27344ce99885cbefefba","target":"graph","created_at":"2026-07-05T01:12:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.04407/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Generalizations of the AGT correspondence between 4D $\\mathcal{N}=2$ $SU(2)$ supersymmetric gauge theory on ${\\mathbb {C}}^2$ with $\\Omega$-deformation and 2D Liouville conformal field theory include a correspondence between 4D $\\mathcal{N}=2$ $SU(N)$ supersymmetric gauge theories, $N = 2, 3, \\ldots$, on ${\\mathbb {C}}^2/{\\mathbb {Z}}_n$, $n = 2, 3, \\ldots$, with $\\Omega$-deformation and 2D conformal field theories with $\\mathcal{W}^{\\, para}_{N, n}$ ($n$-th parafermion $\\mathcal{W}_N$) symmetry and $\\widehat{\\mathfrak{sl}}(n)_N$ symmetry. In this work, we trivialize the factor with $\\mathcal{","authors_text":"Masahide Manabe, Nicholas Macleod, Omar Foda, Trevor Welsh","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-12-09T22:25:54Z","title":"$\\widehat{\\mathfrak{sl}}(n)_N$ WZW conformal blocks from $SU(N)$ instanton partition functions on ${\\mathbb {C}}^2/{\\mathbb {Z}}_n$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.04407","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":"sha256:979c263ac793dc8e72b230b9971734044f02c2bb8ea619d4b042ff30712000a9","target":"record","created_at":"2026-07-05T01:12:30Z","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":"fe95c82bfe745b63953a3fab3ee0b569f851772f478ad42ddce3c1ac1a095b74","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-12-09T22:25:54Z","title_canon_sha256":"3efaed54ba510fd6a46a597d2872efd7bf14ec80102256c27fba123e6b1bdb3c"},"schema_version":"1.0","source":{"id":"1912.04407","kind":"arxiv","version":3}},"canonical_sha256":"b5baf2f8e26f7ac4a9fc02afbf81c2c67b15a60ed312089b63ad7c3f66b571c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5baf2f8e26f7ac4a9fc02afbf81c2c67b15a60ed312089b63ad7c3f66b571c8","first_computed_at":"2026-07-05T01:12:30.177523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:12:30.177523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"15lDJFufYyN+SouBFHeiQTrbyqO//Vo+bRqF7acCXVtz61fvppbu3xSfJvU/gwrQPD5CFSpOE2HznjzP0QjfBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:12:30.177982Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.04407","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:979c263ac793dc8e72b230b9971734044f02c2bb8ea619d4b042ff30712000a9","sha256:bfd2f1f6fc2b7d0ad6056cf573cce0a7ab7d543dc22b27344ce99885cbefefba"],"state_sha256":"a7667346e9d253aa3e1cdefe548e2e674ac5cc9be3c0fe306ab63e227b72f29c"}