{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KIJAZQQE26CYOJKTKNETGQ3M43","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":"7dea64b95a670a2909ee4197fe54ac37f44227fbafff95402b9a554dcfaff16d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-06-26T23:12:14Z","title_canon_sha256":"95292fcf06d85f64db0a9acd14bb986524b754012959f8338621bb62ef50cc6b"},"schema_version":"1.0","source":{"id":"1906.11380","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.11380","created_at":"2026-05-17T23:42:07Z"},{"alias_kind":"arxiv_version","alias_value":"1906.11380v1","created_at":"2026-05-17T23:42:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.11380","created_at":"2026-05-17T23:42:07Z"},{"alias_kind":"pith_short_12","alias_value":"KIJAZQQE26CY","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KIJAZQQE26CYOJKT","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KIJAZQQE","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:7bd189ef4b9ab4d238bfecb1e1c96b4ee15d4c9973cc1068ace1851ba0155f2f","target":"graph","created_at":"2026-05-17T23:42:07Z","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":"Khovanov-Lauda-Rouquier algebras $R_\\theta$ of finite Lie type are affine quasihereditary with standard modules $\\Delta(\\pi)$ labeled by Kostant partitions of $\\theta$. Let $\\Delta$ be the direct sum of all standard modules. It is known that the Yoneda algebra $\\mathcal{E}_\\theta:=\\operatorname{Ext}_{R_\\theta}^*(\\Delta, \\Delta)$ carries a structure of an $A_\\infty$-algebra which can be used to reconstruct the category of standardly filtered $R_\\theta$-modules. In this paper, we explicitly describe $\\mathcal{E}_\\theta$ in two special cases: (1) when $\\theta$ is a positive root in type $\\mathtt{","authors_text":"Alexander Kleshchev, David J. Steinberg, Doeke Buursma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-06-26T23:12:14Z","title":"Some extension algebras for standard modules over KLR algebras of type $A$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.11380","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":"sha256:94bce81505f162702e675d2d0f50d1a6494ade8bce254c6e8f56a3778ab4a198","target":"record","created_at":"2026-05-17T23:42:07Z","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":"7dea64b95a670a2909ee4197fe54ac37f44227fbafff95402b9a554dcfaff16d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-06-26T23:12:14Z","title_canon_sha256":"95292fcf06d85f64db0a9acd14bb986524b754012959f8338621bb62ef50cc6b"},"schema_version":"1.0","source":{"id":"1906.11380","kind":"arxiv","version":1}},"canonical_sha256":"52120cc204d785872553534933436ce6f6a5dbe4271b9634b97d06505fbc6305","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52120cc204d785872553534933436ce6f6a5dbe4271b9634b97d06505fbc6305","first_computed_at":"2026-05-17T23:42:07.283584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:07.283584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"raegnReL6h/bdF2CZStKyRUFKANo6REcuPCQ+8HueINrxn/NZxssulOiKbzrLy/gVHKdhn1wEvIF2KAWdfNhCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:07.284125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.11380","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94bce81505f162702e675d2d0f50d1a6494ade8bce254c6e8f56a3778ab4a198","sha256:7bd189ef4b9ab4d238bfecb1e1c96b4ee15d4c9973cc1068ace1851ba0155f2f"],"state_sha256":"0b7a628f0649470aae327b6f55443d3838d696d3edac7eeb18b090820d68702f"}