{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WYZFAXUV6MFBH76NN5MV7VOBPC","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":"9b7420a70d780aba9d1ace1ec71cac410204c04284733bd8393debc4ecaa6489","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-05-13T17:39:42Z","title_canon_sha256":"c64f79605c49e111b679f3fa5bb03be316961d6b0993d4a35dcd9092bfa2620c"},"schema_version":"1.0","source":{"id":"1605.04266","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04266","created_at":"2026-05-18T01:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04266v1","created_at":"2026-05-18T01:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04266","created_at":"2026-05-18T01:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"WYZFAXUV6MFB","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WYZFAXUV6MFBH76N","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WYZFAXUV","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:8acad822f63505e367925be65399706dab4977cf2d267d1e39710c926ae73f26","target":"graph","created_at":"2026-05-18T01:14:53Z","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 construct a crystal basis for the negative half of the quantum group U associated to the standard super Cartan datum of gl(m|1), which is compatible with known crystals on Kac modules and simple modules. We show that these crystals admit globalization functions which produce compatible canonical bases. We then define a braid group action on a family of quantum groups including U, and use this action to show that our canonical basis agrees with those constructed from PBW bases. Finally, we explicitly compute some small-rank examples.","authors_text":"Sean Clark","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-05-13T17:39:42Z","title":"Canonical bases for the quantum enveloping algebra of gl(m|1) and its modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04266","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":"sha256:265295c5c0f496e98be157839b12e5135ec8baa1113ca5eecb3f31ba30fb23b5","target":"record","created_at":"2026-05-18T01:14:53Z","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":"9b7420a70d780aba9d1ace1ec71cac410204c04284733bd8393debc4ecaa6489","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-05-13T17:39:42Z","title_canon_sha256":"c64f79605c49e111b679f3fa5bb03be316961d6b0993d4a35dcd9092bfa2620c"},"schema_version":"1.0","source":{"id":"1605.04266","kind":"arxiv","version":1}},"canonical_sha256":"b632505e95f30a13ffcd6f595fd5c178849c09e8cbb5a38e9b58beb0d464376d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b632505e95f30a13ffcd6f595fd5c178849c09e8cbb5a38e9b58beb0d464376d","first_computed_at":"2026-05-18T01:14:53.871764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:53.871764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MHLCJWKGkZSiZnpKBaUWCxll6kpqXXijj5txDngfF/u/fiKZKq/U3mpersKOV1/4YSerWcrPwcUiCj/BRhnmCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:53.872229Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04266","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:265295c5c0f496e98be157839b12e5135ec8baa1113ca5eecb3f31ba30fb23b5","sha256:8acad822f63505e367925be65399706dab4977cf2d267d1e39710c926ae73f26"],"state_sha256":"647da1499bd596d8a93ce70d99d973aa5afdbad0487bde3abdd0ab1f62020639"}