{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UPFAXTVXR7FZN3ZVOXBAZ5ENWU","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":"baae3223c8892d8fa86f4485076070baf3fe0f3de2dc40b47f2afd0e97b6160a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-06-03T06:36:46Z","title_canon_sha256":"7d8f5941dd1315d4a58cb7bf5e5025a093e10f05d994f9cd44e81d641c1edee2"},"schema_version":"1.0","source":{"id":"1406.0591","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0591","created_at":"2026-05-18T00:44:28Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0591v2","created_at":"2026-05-18T00:44:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0591","created_at":"2026-05-18T00:44:28Z"},{"alias_kind":"pith_short_12","alias_value":"UPFAXTVXR7FZ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UPFAXTVXR7FZN3ZV","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UPFAXTVX","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:36df7be7e79d6e237dc23afc566e539ea44639108ce5b4e77b4650c16e5a3294","target":"graph","created_at":"2026-05-18T00:44:28Z","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":"Let $\\CC^0_{\\g}$ be the category of finite-dimensional integrable modules over the quantum affine algebra $U_{q}'(\\g)$ and let $R^{A_\\infty}\\gmod$ denote the category of finite-dimensional graded modules over the quiver Hecke algebra of type $A_{\\infty}$. In this paper, we investigate the relationship between the categories $\\CC^0_{A_{N-1}^{(1)}}$ and $\\CC^0_{A_{N-1}^{(2)}}$ by constructing the generalized quantum affine Schur-Weyl duality functors $\\F^{(t)}$ from $R^{A_\\infty}\\gmod$ to $\\CC^0_{A_{N-1}^{(t)}}$ $(t=1,2)$.","authors_text":"Masaki Kashiwara, MyungHo Kim, Se-Jin Oh, Seok-Jin Kang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-06-03T06:36:46Z","title":"Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras III"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0591","kind":"arxiv","version":2},"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":"sha256:629935e7957c4ad38ebf424ac221253a4a1eb5e51aa2193a49325da389e903b5","target":"record","created_at":"2026-05-18T00:44:28Z","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":"baae3223c8892d8fa86f4485076070baf3fe0f3de2dc40b47f2afd0e97b6160a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-06-03T06:36:46Z","title_canon_sha256":"7d8f5941dd1315d4a58cb7bf5e5025a093e10f05d994f9cd44e81d641c1edee2"},"schema_version":"1.0","source":{"id":"1406.0591","kind":"arxiv","version":2}},"canonical_sha256":"a3ca0bceb78fcb96ef3575c20cf48db53ce17c008eac87fc9892dbc35dd949c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3ca0bceb78fcb96ef3575c20cf48db53ce17c008eac87fc9892dbc35dd949c6","first_computed_at":"2026-05-18T00:44:28.984219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:28.984219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v3zOoGP7Fnxhw8/Q6eVkA0vdzAgsBM8fOSVCwAF02n/yymoHdjqUpe079NskKuJO8FiUX0o+oqolX0pdQmF+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:28.984724Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0591","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:629935e7957c4ad38ebf424ac221253a4a1eb5e51aa2193a49325da389e903b5","sha256:36df7be7e79d6e237dc23afc566e539ea44639108ce5b4e77b4650c16e5a3294"],"state_sha256":"60983d18f1012d72168f2e5593a257fa65e413b70bdb2ec0746f62fca59ba4bd"}