{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5HJ7E5TSHDJKEE535QDJ3S4QF4","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":"3fa5aa9a3c60059f4f3964dc1691b949eec5140583c939d96aa174df3acf58a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-05-25T11:59:40Z","title_canon_sha256":"84b8cce87d9c2a7074c193229279144c515e4ff6fdc90540977e3fd2653dab77"},"schema_version":"1.0","source":{"id":"1505.06602","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06602","created_at":"2026-05-18T01:01:34Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06602v1","created_at":"2026-05-18T01:01:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06602","created_at":"2026-05-18T01:01:34Z"},{"alias_kind":"pith_short_12","alias_value":"5HJ7E5TSHDJK","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5HJ7E5TSHDJKEE53","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5HJ7E5TS","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:60c54e9afcef4d38d9fa2a7ee75e93db45fd9751a69a4afbd7182cc896dfb617","target":"graph","created_at":"2026-05-18T01:01:34Z","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 give a new interpretation of representation theory of the finite-dimensional half-integer weight modules over the queer Lie superalgebra $\\mathfrak{q}(n)$. It is given in terms of Brundan's work of finite-dimensional integer weight $\\mathfrak{q}(n)$-modules by means of Lusztig's canonical basis. Using this viewpoint we compute the characters of the finite-dimensional half-integer weight irreducible modules. For a large class of irreducible modules whose highest weights are of special types (i.e., totally connected or totally disconnected) we derive closed-form character formulas that are re","authors_text":"Jae-Hoon Kwon, Shun-Jen Cheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-05-25T11:59:40Z","title":"Finite-dimensional half-integer weight modules over queer Lie superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06602","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:fcbd6bf76a31f38bf3a61667d8fc5a9596040eafd4353d5ed7762b4e568b8a9a","target":"record","created_at":"2026-05-18T01:01:34Z","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":"3fa5aa9a3c60059f4f3964dc1691b949eec5140583c939d96aa174df3acf58a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-05-25T11:59:40Z","title_canon_sha256":"84b8cce87d9c2a7074c193229279144c515e4ff6fdc90540977e3fd2653dab77"},"schema_version":"1.0","source":{"id":"1505.06602","kind":"arxiv","version":1}},"canonical_sha256":"e9d3f2767238d2a213bbec069dcb902f23af91d50e050d159bd596bfbdf0511f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9d3f2767238d2a213bbec069dcb902f23af91d50e050d159bd596bfbdf0511f","first_computed_at":"2026-05-18T01:01:34.698374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:34.698374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vHkY4TC3U4vG+TWkNFSCVo23v6+oG2LhYfsEYv1VYPTy7q5iDKPh9GkHphN60TjlxZmVE5j+6yr0UctCN1hjDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:34.699016Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06602","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcbd6bf76a31f38bf3a61667d8fc5a9596040eafd4353d5ed7762b4e568b8a9a","sha256:60c54e9afcef4d38d9fa2a7ee75e93db45fd9751a69a4afbd7182cc896dfb617"],"state_sha256":"f508af517fccf96f21917246fab5cf03b13fa79ae0ffaae4d2fa8bc81b67a5d5"}