{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:J26V5V7EX57QUGROKY3VTO6KFS","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":"e185a0d6c16eaef7b5ae4cb965ef983d793a773a863b2bd66082d7ae529d62e8","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-07-25T01:12:15Z","title_canon_sha256":"bcb4da933b23b9b4a93fa7e87c1d21beea751c633c4d8dc5a6ad976ce466f789"},"schema_version":"1.0","source":{"id":"1207.5860","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5860","created_at":"2026-05-18T03:18:17Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5860v3","created_at":"2026-05-18T03:18:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5860","created_at":"2026-05-18T03:18:17Z"},{"alias_kind":"pith_short_12","alias_value":"J26V5V7EX57Q","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"J26V5V7EX57QUGRO","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"J26V5V7E","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:dafc01d0cb5e4b8665fa22433db1936356bc8144d831a1905047eaa1b38a53d3","target":"graph","created_at":"2026-05-18T03:18:17Z","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 classify simple representations of Khovanov-Lauda-Rouquier algebras in finite type. The classification is in terms of a standard family of representations that is shown to yield the dual PBW basis in the Grothendieck group. Finally, we prove a conjecture describing the global dimension of these algebras.","authors_text":"Peter J. McNamara","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-07-25T01:12:15Z","title":"Finite Dimensional Representations of Khovanov-Lauda-Rouquier algebras I: Finite Type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5860","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:c0c58a9e27b819e60632a9e27f319092724c76a27d0feabcbaebccc190470a92","target":"record","created_at":"2026-05-18T03:18:17Z","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":"e185a0d6c16eaef7b5ae4cb965ef983d793a773a863b2bd66082d7ae529d62e8","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-07-25T01:12:15Z","title_canon_sha256":"bcb4da933b23b9b4a93fa7e87c1d21beea751c633c4d8dc5a6ad976ce466f789"},"schema_version":"1.0","source":{"id":"1207.5860","kind":"arxiv","version":3}},"canonical_sha256":"4ebd5ed7e4bf7f0a1a2e563759bbca2cac8782b810c2ff0c334c51e84630e8e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ebd5ed7e4bf7f0a1a2e563759bbca2cac8782b810c2ff0c334c51e84630e8e6","first_computed_at":"2026-05-18T03:18:17.161895Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:17.161895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w2vCv+fVbzCspLCRze+nEEjf0tTMi2OP4yn4xhLmmmNJJBOjYCkKRInEIYpefp8dWTcmoXYLrWS/PwY9yK2LCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:17.162604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.5860","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0c58a9e27b819e60632a9e27f319092724c76a27d0feabcbaebccc190470a92","sha256:dafc01d0cb5e4b8665fa22433db1936356bc8144d831a1905047eaa1b38a53d3"],"state_sha256":"8e168e2f9f8441c1d5aa9632b3d89e3c76cfaa852201d901a1ebc17fafacc0d7"}