{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:P62MEGHRBALUZO23QUWIPPQXYD","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":"0a52d7b25059b0b302816ec9a8b0fd2a8743ae06876d0356d451106106cd7f56","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-12-05T19:15:22Z","title_canon_sha256":"c8ca0d7991012d23e8c481f95945f01aaa6b160121a25fc51b6d95b8baad17cb"},"schema_version":"1.0","source":{"id":"1612.01484","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01484","created_at":"2026-05-18T00:03:25Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01484v2","created_at":"2026-05-18T00:03:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01484","created_at":"2026-05-18T00:03:25Z"},{"alias_kind":"pith_short_12","alias_value":"P62MEGHRBALU","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"P62MEGHRBALUZO23","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"P62MEGHR","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:8a555b510e61e13f2da95408b7c59e397627aa655c0e93375a81fb30a7f1cc9c","target":"graph","created_at":"2026-05-18T00:03:25Z","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 prove stability of the Chari-Loktev bases with respect to the inclusions of local Weyl modules of the current algebra $\\mathfrak{sl}_{r+1}[t]$. This is conjectured in \\cite{RRV2} and the $r=1$ case is proved in \\cite{RRV1}. Local Weyl modules being known to be Demazure submodules in the level one representations of the affine Lie algebra $\\widehat{\\mathfrak{sl}_{r+1}}$, we obtain, by passage to the direct limit, bases for the level one representations themselves.","authors_text":"B. Ravinder","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-12-05T19:15:22Z","title":"Stability of the Chari-Loktev bases for local Weyl modules of $\\mathfrak{sl}_{r+1}[t]$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01484","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:b925579127005fccbeacc0ca9d9da226d7f799d72448b54d62f29f7fbc2302e0","target":"record","created_at":"2026-05-18T00:03:25Z","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":"0a52d7b25059b0b302816ec9a8b0fd2a8743ae06876d0356d451106106cd7f56","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-12-05T19:15:22Z","title_canon_sha256":"c8ca0d7991012d23e8c481f95945f01aaa6b160121a25fc51b6d95b8baad17cb"},"schema_version":"1.0","source":{"id":"1612.01484","kind":"arxiv","version":2}},"canonical_sha256":"7fb4c218f108174cbb5b852c87be17c0f6ff59b4ded3e199419bad28cb22bd07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fb4c218f108174cbb5b852c87be17c0f6ff59b4ded3e199419bad28cb22bd07","first_computed_at":"2026-05-18T00:03:25.233103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:25.233103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FNXFPaOw/bDuuulw4N4Q3iiISczNDNS0RV7cYrMX9LVYUhkv5f8yLNJObDmPL87P+d+sC7WZNM3vKZpRaxH8CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:25.233658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.01484","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b925579127005fccbeacc0ca9d9da226d7f799d72448b54d62f29f7fbc2302e0","sha256:8a555b510e61e13f2da95408b7c59e397627aa655c0e93375a81fb30a7f1cc9c"],"state_sha256":"2b018afdebc86419b486d9f49804e1ccdaef1cf794db0d9ab04fe009f7c0b79c"}