{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:V6DCDTV523A3AJCOEJCJ6GSY6P","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":"c834ca78b1ae119366e3ac996bacfe17bea8c9570922ad04d504c217bcab3043","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-02-07T22:10:00Z","title_canon_sha256":"cb5633efa8179b2ef99a677b21529eb7da1f0855a2aa5332c37f1e1ee0fc14e8"},"schema_version":"1.0","source":{"id":"1102.1453","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1453","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1453v3","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1453","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"V6DCDTV523A3","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V6DCDTV523A3AJCO","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V6DCDTV5","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:a7a93bedb7b1d87d58b8dae558ebbd17aa1020bfe252feb2360ae53c43d1d521","target":"graph","created_at":"2026-05-18T03:05:09Z","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":"Let \\H_r be the generic type A Hecke algebra defined over \\ZZ[u, u^{-1}]. The Kazhdan-Lusztig bases \\{C_w\\}_{w \\in \\S_r} and \\{C'_w\\}_{w \\in \\S_r} of \\H_r give rise to two different bases of the Specht module M_\\lambda, \\lambda \\vdash r, of \\H_r. These bases are not equivalent and we show that the transition matrix S(\\lambda) between the two is the identity at u = 0 and u = \\infty. To prove this, we first prove a similar property for the transition matrices \\tilde{T}, \\tilde{T}' between the Kazhdan-Lusztig bases and their projected counterparts \\{\\tilde{C}_w\\}_{w \\in \\S_r}, \\{\\tilde{C}'_w\\}_{w","authors_text":"Jonah Blasiak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-02-07T22:10:00Z","title":"Quantum Schur-Weyl duality and projected canonical bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1453","kind":"arxiv","version":3},"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:c0c64499f308692f42d86da3ceb333d806a76e4c61f0bfa46d8161b8ea56e167","target":"record","created_at":"2026-05-18T03:05:09Z","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":"c834ca78b1ae119366e3ac996bacfe17bea8c9570922ad04d504c217bcab3043","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-02-07T22:10:00Z","title_canon_sha256":"cb5633efa8179b2ef99a677b21529eb7da1f0855a2aa5332c37f1e1ee0fc14e8"},"schema_version":"1.0","source":{"id":"1102.1453","kind":"arxiv","version":3}},"canonical_sha256":"af8621cebdd6c1b0244e22449f1a58f3c532c5b6171da742c6ca621363a67433","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af8621cebdd6c1b0244e22449f1a58f3c532c5b6171da742c6ca621363a67433","first_computed_at":"2026-05-18T03:05:09.955440Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:09.955440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LYyz6ED97xD5FyQS09fIDbYuNc5wk3u2ez9BuQ37PWL1SgNcA6RHUKgBMjPP8o7KcrWLA7dPtlLUNrgKpzhoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:09.956087Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1453","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0c64499f308692f42d86da3ceb333d806a76e4c61f0bfa46d8161b8ea56e167","sha256:a7a93bedb7b1d87d58b8dae558ebbd17aa1020bfe252feb2360ae53c43d1d521"],"state_sha256":"0dd9b5358ab3e23f35daa1a039fbf5fd34db835493492684229a3df45f622958"}