{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JWKGZAGFMMD62IWFN4OCUMUNKI","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":"f8cd893a66f3df07ea28d7f129701b1aba87663cdaa453a94bbc3ab0fde4cd24","cross_cats_sorted":["math.AG","math.KT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-28T21:24:33Z","title_canon_sha256":"59168df10692a86f2c83f0d234239edd200a494724857cf685d0147cd52734f4"},"schema_version":"1.0","source":{"id":"1512.08533","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08533","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08533v4","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08533","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"pith_short_12","alias_value":"JWKGZAGFMMD6","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JWKGZAGFMMD62IWF","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JWKGZAGF","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:8745d672a0c0833231d911595a94fac9e6a0bf08547f494ce3ddc1e09df47094","target":"graph","created_at":"2026-05-18T00:16:45Z","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":"For a quiver with weighted arrows we define gauge-theory K-theoretic W-algebra generalizing the definition of Shiraishi et al., and Frenkel and Reshetikhin. In particular, we show that the qq-character construction of gauge theory presented by Nekrasov is isomorphic to the definition of the W-algebra in the operator formalism as a commutant of screening charges in the free field representation. Besides, we allow arbitrary quiver and expect interesting applications to representation theory of generalized Borcherds-Kac-Moody Lie algebras, their quantum affinizations and associated W-algebras.","authors_text":"Taro Kimura, Vasily Pestun","cross_cats":["math.AG","math.KT","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-28T21:24:33Z","title":"Quiver W-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08533","kind":"arxiv","version":4},"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":"sha256:0302cad7e2c8329dc5069ea7e14708e7a5d53aa4eb53d8995df5b9d8a25216ba","target":"record","created_at":"2026-05-18T00:16:45Z","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":"f8cd893a66f3df07ea28d7f129701b1aba87663cdaa453a94bbc3ab0fde4cd24","cross_cats_sorted":["math.AG","math.KT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-28T21:24:33Z","title_canon_sha256":"59168df10692a86f2c83f0d234239edd200a494724857cf685d0147cd52734f4"},"schema_version":"1.0","source":{"id":"1512.08533","kind":"arxiv","version":4}},"canonical_sha256":"4d946c80c56307ed22c56f1c2a328d52297f6e7587b283d85115d2c1daebcfdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d946c80c56307ed22c56f1c2a328d52297f6e7587b283d85115d2c1daebcfdb","first_computed_at":"2026-05-18T00:16:45.954655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:45.954655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zlx3JyDq+85MYvdTDPOi4rRoEL+z49AObnBICGmSuTWVS7d6XCrCsV5kiWmdaS6IRWoU7AmDe+YnBTRYaiINDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:45.955195Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.08533","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0302cad7e2c8329dc5069ea7e14708e7a5d53aa4eb53d8995df5b9d8a25216ba","sha256:8745d672a0c0833231d911595a94fac9e6a0bf08547f494ce3ddc1e09df47094"],"state_sha256":"9b59df83d71ae0219a66e3d542458727dbcfca2f19fe1890bd1dac988e591c89"}