{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HNMSEGTYGKUDBFX2YDWWQCVXBP","short_pith_number":"pith:HNMSEGTY","schema_version":"1.0","canonical_sha256":"3b59221a7832a83096fac0ed680ab70bf74f38f433f8ab14c7dce281e6b650f0","source":{"kind":"arxiv","id":"1308.0651","version":1},"attestation_state":"computed","paper":{"title":"Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Masaki Kashiwara, MyungHo Kim, Seok-Jin Kang","submitted_at":"2013-08-03T02:30:16Z","abstract_excerpt":"Let $\\g$ be an untwisted affine Kac-Moody algebra of type $A^{(1)}_n$ $(n \\ge 1)$ or $D^{(1)}_n$ $(n \\ge 4)$ and let $\\g_0$ be the underlying finite-dimensional simple Lie subalgebra of $\\g$. For each Dynkin quiver $Q$ of type $\\g_0$, Hernandez and Leclerc (\\cite{HL11}) introduced a tensor subcategory $\\CC_Q$ of the category of finite-dimensional integrable $\\uqpg$-modules and proved that the Grothendieck ring of $\\CC_Q$ is isomorphic to $\\C [N]$, the coordinate ring of the unipotent group $N$ associated with $\\g_0$. We apply the generalized quantum affine Schur-Weyl duality introduced in \\cit"},"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":"1308.0651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-08-03T02:30:16Z","cross_cats_sorted":[],"title_canon_sha256":"eb6db70f794c583331802acd837f61616ceda147e88ff578d2afc192488212ee","abstract_canon_sha256":"6e81722c25b0e196db9292080dabc3fd3ada41cb75a2583fc481f479869e5fe9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:15.171424Z","signature_b64":"uID3U2EWiIysj2tJ7JrXTz9qPDqEqxuSJ8HzBZ+Yp7qzgsBeQYCa3FTmaypyFkLI416DAfaCQfHqIi2pNrgxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b59221a7832a83096fac0ed680ab70bf74f38f433f8ab14c7dce281e6b650f0","last_reissued_at":"2026-05-18T01:28:15.170716Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:15.170716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Masaki Kashiwara, MyungHo Kim, Seok-Jin Kang","submitted_at":"2013-08-03T02:30:16Z","abstract_excerpt":"Let $\\g$ be an untwisted affine Kac-Moody algebra of type $A^{(1)}_n$ $(n \\ge 1)$ or $D^{(1)}_n$ $(n \\ge 4)$ and let $\\g_0$ be the underlying finite-dimensional simple Lie subalgebra of $\\g$. For each Dynkin quiver $Q$ of type $\\g_0$, Hernandez and Leclerc (\\cite{HL11}) introduced a tensor subcategory $\\CC_Q$ of the category of finite-dimensional integrable $\\uqpg$-modules and proved that the Grothendieck ring of $\\CC_Q$ is isomorphic to $\\C [N]$, the coordinate ring of the unipotent group $N$ associated with $\\g_0$. We apply the generalized quantum affine Schur-Weyl duality introduced in \\cit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0651","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1308.0651","created_at":"2026-05-18T01:28:15.170825+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.0651v1","created_at":"2026-05-18T01:28:15.170825+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0651","created_at":"2026-05-18T01:28:15.170825+00:00"},{"alias_kind":"pith_short_12","alias_value":"HNMSEGTYGKUD","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HNMSEGTYGKUDBFX2","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HNMSEGTY","created_at":"2026-05-18T12:27:46.883200+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HNMSEGTYGKUDBFX2YDWWQCVXBP","json":"https://pith.science/pith/HNMSEGTYGKUDBFX2YDWWQCVXBP.json","graph_json":"https://pith.science/api/pith-number/HNMSEGTYGKUDBFX2YDWWQCVXBP/graph.json","events_json":"https://pith.science/api/pith-number/HNMSEGTYGKUDBFX2YDWWQCVXBP/events.json","paper":"https://pith.science/paper/HNMSEGTY"},"agent_actions":{"view_html":"https://pith.science/pith/HNMSEGTYGKUDBFX2YDWWQCVXBP","download_json":"https://pith.science/pith/HNMSEGTYGKUDBFX2YDWWQCVXBP.json","view_paper":"https://pith.science/paper/HNMSEGTY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.0651&json=true","fetch_graph":"https://pith.science/api/pith-number/HNMSEGTYGKUDBFX2YDWWQCVXBP/graph.json","fetch_events":"https://pith.science/api/pith-number/HNMSEGTYGKUDBFX2YDWWQCVXBP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HNMSEGTYGKUDBFX2YDWWQCVXBP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HNMSEGTYGKUDBFX2YDWWQCVXBP/action/storage_attestation","attest_author":"https://pith.science/pith/HNMSEGTYGKUDBFX2YDWWQCVXBP/action/author_attestation","sign_citation":"https://pith.science/pith/HNMSEGTYGKUDBFX2YDWWQCVXBP/action/citation_signature","submit_replication":"https://pith.science/pith/HNMSEGTYGKUDBFX2YDWWQCVXBP/action/replication_record"}},"created_at":"2026-05-18T01:28:15.170825+00:00","updated_at":"2026-05-18T01:28:15.170825+00:00"}