{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:C6YYSBDB4K7XH3LE633SYZDWIB","short_pith_number":"pith:C6YYSBDB","canonical_record":{"source":{"id":"1311.1868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-11-08T02:47:13Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"2d96a9befdac9ecc72505fb0104ceb0a85b1ba3352cad52fff1f45ac5d896291","abstract_canon_sha256":"aeb5f0f50afbdc00a9e1bd4bcfde5685da3e8c6405f31b4797e6e84b16fa814c"},"schema_version":"1.0"},"canonical_sha256":"17b1890461e2bf73ed64f6f72c6476404b032eebf5e9e55013b8c3a5d3deac07","source":{"kind":"arxiv","id":"1311.1868","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1868","created_at":"2026-05-18T03:07:42Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1868v1","created_at":"2026-05-18T03:07:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1868","created_at":"2026-05-18T03:07:42Z"},{"alias_kind":"pith_short_12","alias_value":"C6YYSBDB4K7X","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C6YYSBDB4K7XH3LE","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C6YYSBDB","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:C6YYSBDB4K7XH3LE633SYZDWIB","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-11-08T02:47:13Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"2d96a9befdac9ecc72505fb0104ceb0a85b1ba3352cad52fff1f45ac5d896291","abstract_canon_sha256":"aeb5f0f50afbdc00a9e1bd4bcfde5685da3e8c6405f31b4797e6e84b16fa814c"},"schema_version":"1.0"},"canonical_sha256":"17b1890461e2bf73ed64f6f72c6476404b032eebf5e9e55013b8c3a5d3deac07","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:42.800206Z","signature_b64":"Kg9FqYCxyLW3BJHBxC21AGoft+6tEf8kNyGRqV/lb7h252cCdG/TrrMVXr2h8odkCfgdaux+VHr3ghEOU+R0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17b1890461e2bf73ed64f6f72c6476404b032eebf5e9e55013b8c3a5d3deac07","last_reissued_at":"2026-05-18T03:07:42.799690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:42.799690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1868","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:07:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H7wuA7CBnhHlASXwx6N2rv4FQv4Hv1VSRx/JW/SmHEWimTo2LzX34jfvSdF/H4AXhzEFBm8x8H44uPwRiMJaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:37:30.751959Z"},"content_sha256":"ed8835c091c075e66474dd917fca3cace40ee4b49a38583740c3fa782555deaa","schema_version":"1.0","event_id":"sha256:ed8835c091c075e66474dd917fca3cace40ee4b49a38583740c3fa782555deaa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:C6YYSBDB4K7XH3LE633SYZDWIB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum affine $\\frak{gl}_n$ via Hecke algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"Jie Du, Qiang Fu","submitted_at":"2013-11-08T02:47:13Z","abstract_excerpt":"We use the Hecke algebras of affine symmetric groups and their associated Schur algebras to construct a new algebra through a basis, and a set of generators and explicit multiplication formulas of basis elements by generators. We prove that this algebra is isomorphic to the quantum enveloping algebra of the loop algebra of $\\mathfrak {gl}_n$. Though this construction is motivated by the work \\cite{BLM} by Beilinson--Lusztig--MacPherson for quantum $\\frak{gl}_n$, our approach is purely algebraic and combinatorial, independent of the geometric method which seems to work only for quantum $\\mathfr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1868","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:07:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tubm0T5J1qZcGY733Bs8ZyaBqsnewDY+fA29iMTBfj0p2qkGXA9N/RVdm4jbVI8bcK25GiidAWjSmlrIJ6gtCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:37:30.752578Z"},"content_sha256":"9ee44f617798eced3fc977c8e18c85d1b3ccda42afcaf96b6ffd95959e77afd7","schema_version":"1.0","event_id":"sha256:9ee44f617798eced3fc977c8e18c85d1b3ccda42afcaf96b6ffd95959e77afd7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C6YYSBDB4K7XH3LE633SYZDWIB/bundle.json","state_url":"https://pith.science/pith/C6YYSBDB4K7XH3LE633SYZDWIB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C6YYSBDB4K7XH3LE633SYZDWIB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T07:37:30Z","links":{"resolver":"https://pith.science/pith/C6YYSBDB4K7XH3LE633SYZDWIB","bundle":"https://pith.science/pith/C6YYSBDB4K7XH3LE633SYZDWIB/bundle.json","state":"https://pith.science/pith/C6YYSBDB4K7XH3LE633SYZDWIB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C6YYSBDB4K7XH3LE633SYZDWIB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:C6YYSBDB4K7XH3LE633SYZDWIB","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":"aeb5f0f50afbdc00a9e1bd4bcfde5685da3e8c6405f31b4797e6e84b16fa814c","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-11-08T02:47:13Z","title_canon_sha256":"2d96a9befdac9ecc72505fb0104ceb0a85b1ba3352cad52fff1f45ac5d896291"},"schema_version":"1.0","source":{"id":"1311.1868","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1868","created_at":"2026-05-18T03:07:42Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1868v1","created_at":"2026-05-18T03:07:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1868","created_at":"2026-05-18T03:07:42Z"},{"alias_kind":"pith_short_12","alias_value":"C6YYSBDB4K7X","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C6YYSBDB4K7XH3LE","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C6YYSBDB","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:9ee44f617798eced3fc977c8e18c85d1b3ccda42afcaf96b6ffd95959e77afd7","target":"graph","created_at":"2026-05-18T03:07:42Z","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":"We use the Hecke algebras of affine symmetric groups and their associated Schur algebras to construct a new algebra through a basis, and a set of generators and explicit multiplication formulas of basis elements by generators. We prove that this algebra is isomorphic to the quantum enveloping algebra of the loop algebra of $\\mathfrak {gl}_n$. Though this construction is motivated by the work \\cite{BLM} by Beilinson--Lusztig--MacPherson for quantum $\\frak{gl}_n$, our approach is purely algebraic and combinatorial, independent of the geometric method which seems to work only for quantum $\\mathfr","authors_text":"Jie Du, Qiang Fu","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-11-08T02:47:13Z","title":"Quantum affine $\\frak{gl}_n$ via Hecke algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1868","kind":"arxiv","version":1},"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:ed8835c091c075e66474dd917fca3cace40ee4b49a38583740c3fa782555deaa","target":"record","created_at":"2026-05-18T03:07:42Z","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":"aeb5f0f50afbdc00a9e1bd4bcfde5685da3e8c6405f31b4797e6e84b16fa814c","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-11-08T02:47:13Z","title_canon_sha256":"2d96a9befdac9ecc72505fb0104ceb0a85b1ba3352cad52fff1f45ac5d896291"},"schema_version":"1.0","source":{"id":"1311.1868","kind":"arxiv","version":1}},"canonical_sha256":"17b1890461e2bf73ed64f6f72c6476404b032eebf5e9e55013b8c3a5d3deac07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17b1890461e2bf73ed64f6f72c6476404b032eebf5e9e55013b8c3a5d3deac07","first_computed_at":"2026-05-18T03:07:42.799690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:42.799690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kg9FqYCxyLW3BJHBxC21AGoft+6tEf8kNyGRqV/lb7h252cCdG/TrrMVXr2h8odkCfgdaux+VHr3ghEOU+R0AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:42.800206Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1868","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed8835c091c075e66474dd917fca3cace40ee4b49a38583740c3fa782555deaa","sha256:9ee44f617798eced3fc977c8e18c85d1b3ccda42afcaf96b6ffd95959e77afd7"],"state_sha256":"8171807e98049658263974f74846d7de98102c34053558b27bfb6af6a6d985e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2GzMCm/Q7FNxMMCVMNHJSId+0hYIxBJIf/ygS/YpRqB4ZzMyJ8hKsEQ02wUlbemLW7TdhezO+3qlDcH2EF0GAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:37:30.755629Z","bundle_sha256":"e2c870c015fb615f9678ca9b8cf7883fbf0f582a95d4490f35c70f42b6ca735f"}}