{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DRVXQ4M5XQNZJFVAM3ZOAXLWGA","short_pith_number":"pith:DRVXQ4M5","schema_version":"1.0","canonical_sha256":"1c6b78719dbc1b9496a066f2e05d76303d616602d943369f6289c60392bb941a","source":{"kind":"arxiv","id":"1407.7001","version":2},"attestation_state":"computed","paper":{"title":"RTT realization of quantum affine superalgebras and tensor products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.QA","authors_text":"Huafeng Zhang","submitted_at":"2014-07-25T18:38:54Z","abstract_excerpt":"We use the RTT realization of the quantum affine superalgebra associated with the Lie superalgebra $\\mathfrak{gl}(M,N)$ to study its finite-dimensional representations and their tensor products. In the case $\\mathfrak{gl}(1,1)$, the cyclicity condition of tensor products of finite-dimensional simple modules is determined completely in terms of zeros and poles of rational functions. This in turn induces cyclicity of some particular tensor products of Kirillov-Reshetikhin modules related to $\\mathfrak{gl}(M,N)$."},"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":"1407.7001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-07-25T18:38:54Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"420fe8ff149ba7560e23fb3c0f6e11526c94725c2e650ecd68d84b1fad234757","abstract_canon_sha256":"a31ec2880514bf926dd733afc51916793bcb1719c51251a3a9485cfc8e0a0e88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:41.807761Z","signature_b64":"rsbWwCfMTNx6SAXHvwrYmrrQ1ubMYXo75o6y4IbNX97iJjcOG59serdbXv+CShiqtCAzW7hTrLGCwk6M8IeIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c6b78719dbc1b9496a066f2e05d76303d616602d943369f6289c60392bb941a","last_reissued_at":"2026-05-18T00:54:41.807226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:41.807226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"RTT realization of quantum affine superalgebras and tensor products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.QA","authors_text":"Huafeng Zhang","submitted_at":"2014-07-25T18:38:54Z","abstract_excerpt":"We use the RTT realization of the quantum affine superalgebra associated with the Lie superalgebra $\\mathfrak{gl}(M,N)$ to study its finite-dimensional representations and their tensor products. In the case $\\mathfrak{gl}(1,1)$, the cyclicity condition of tensor products of finite-dimensional simple modules is determined completely in terms of zeros and poles of rational functions. This in turn induces cyclicity of some particular tensor products of Kirillov-Reshetikhin modules related to $\\mathfrak{gl}(M,N)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7001","kind":"arxiv","version":2},"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":"1407.7001","created_at":"2026-05-18T00:54:41.807326+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.7001v2","created_at":"2026-05-18T00:54:41.807326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7001","created_at":"2026-05-18T00:54:41.807326+00:00"},{"alias_kind":"pith_short_12","alias_value":"DRVXQ4M5XQNZ","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DRVXQ4M5XQNZJFVA","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DRVXQ4M5","created_at":"2026-05-18T12:28:25.294606+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/DRVXQ4M5XQNZJFVAM3ZOAXLWGA","json":"https://pith.science/pith/DRVXQ4M5XQNZJFVAM3ZOAXLWGA.json","graph_json":"https://pith.science/api/pith-number/DRVXQ4M5XQNZJFVAM3ZOAXLWGA/graph.json","events_json":"https://pith.science/api/pith-number/DRVXQ4M5XQNZJFVAM3ZOAXLWGA/events.json","paper":"https://pith.science/paper/DRVXQ4M5"},"agent_actions":{"view_html":"https://pith.science/pith/DRVXQ4M5XQNZJFVAM3ZOAXLWGA","download_json":"https://pith.science/pith/DRVXQ4M5XQNZJFVAM3ZOAXLWGA.json","view_paper":"https://pith.science/paper/DRVXQ4M5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.7001&json=true","fetch_graph":"https://pith.science/api/pith-number/DRVXQ4M5XQNZJFVAM3ZOAXLWGA/graph.json","fetch_events":"https://pith.science/api/pith-number/DRVXQ4M5XQNZJFVAM3ZOAXLWGA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DRVXQ4M5XQNZJFVAM3ZOAXLWGA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DRVXQ4M5XQNZJFVAM3ZOAXLWGA/action/storage_attestation","attest_author":"https://pith.science/pith/DRVXQ4M5XQNZJFVAM3ZOAXLWGA/action/author_attestation","sign_citation":"https://pith.science/pith/DRVXQ4M5XQNZJFVAM3ZOAXLWGA/action/citation_signature","submit_replication":"https://pith.science/pith/DRVXQ4M5XQNZJFVAM3ZOAXLWGA/action/replication_record"}},"created_at":"2026-05-18T00:54:41.807326+00:00","updated_at":"2026-05-18T00:54:41.807326+00:00"}