{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PED3IEYOD7C2VZ3XDNP4QXZ6HN","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":"c36cb2f87971eaf63260aa2d22fd50a3840ddc84c95793f90b4dbbc5dbe978aa","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-04-09T00:43:44Z","title_canon_sha256":"d25fa17b8446a80f08ba964a35eb0e281b5bc5fc6fbd1c1a2a000349c523697f"},"schema_version":"1.0","source":{"id":"1204.1776","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1776","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1776v2","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1776","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"PED3IEYOD7C2","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PED3IEYOD7C2VZ3X","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PED3IEYO","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:355f5c18e8daba2449fb65b774a8ef45ff53e8fef15df029d7044003b3915084","target":"graph","created_at":"2026-05-18T01:24:04Z","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":"Varagnolo-Vasserot and Rouquier proved that, in a symmetric generalized Cartan matrix case, the simple modules over the quiver Hecke algebra with a special parameter correspond to the upper global basis. In this note we show that the simple modules over the quiver Hecke algebras with a generic parameter also correspond to the upper global basis in a symmetric generalized Cartan matrix case.","authors_text":"Masaki Kashiwara","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-04-09T00:43:44Z","title":"Notes on parameters of quiver Hecke algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1776","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":"sha256:7fb72506ae693d07e9e4a83e78e9d1111a801b987916419412c9a0b049e51233","target":"record","created_at":"2026-05-18T01:24:04Z","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":"c36cb2f87971eaf63260aa2d22fd50a3840ddc84c95793f90b4dbbc5dbe978aa","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-04-09T00:43:44Z","title_canon_sha256":"d25fa17b8446a80f08ba964a35eb0e281b5bc5fc6fbd1c1a2a000349c523697f"},"schema_version":"1.0","source":{"id":"1204.1776","kind":"arxiv","version":2}},"canonical_sha256":"7907b4130e1fc5aae7771b5fc85f3e3b4a50e76045aecf55a22303c6973f78e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7907b4130e1fc5aae7771b5fc85f3e3b4a50e76045aecf55a22303c6973f78e6","first_computed_at":"2026-05-18T01:24:04.668931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:04.668931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aMaWjqvY/zil/+WVHlWDQirwHMUUAZiKfWf0HBluDvbnZmAwes48miqHjuyb0blmp1ZD2aQGO2dth9KD35eNDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:04.669682Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1776","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fb72506ae693d07e9e4a83e78e9d1111a801b987916419412c9a0b049e51233","sha256:355f5c18e8daba2449fb65b774a8ef45ff53e8fef15df029d7044003b3915084"],"state_sha256":"f208e186173b5837eb42cc0033a49ddbbd82b51a6dff9d971e9cb27aa89706cc"}