{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4MDBMA24YWAOZD2CUTCROFUNY6","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":"b6bd3951235f3d74a96fcac8467846d07d27911f5e37e6f2eac5dc0afa0fceef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-25T06:18:34Z","title_canon_sha256":"dafe32ba34789173192dcd3037960f6af2b4811a8212fa206732d961d0a7e049"},"schema_version":"1.0","source":{"id":"1111.5898","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5898","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5898v1","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5898","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"4MDBMA24YWAO","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4MDBMA24YWAOZD2C","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4MDBMA24","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:07e163f62f7f44b0776e71da83007205e78a9b88ae77265d6172397986e55b34","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":"We prove that the simple root functors E and F appearing in the categorification of irreducible highest weight modules of quantum groups via cyclotomic Khovanov-Lauda-Rouquier algebras is a biadjoint pair.","authors_text":"Masaki Kashiwara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-25T06:18:34Z","title":"Biadjointness in cyclic Khovanov-Lauda-Rouquier Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5898","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":"sha256:20c49d39174d647da29344be78930fa7fb5607b9cc7336aaa181fba3d1f0e17a","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":"b6bd3951235f3d74a96fcac8467846d07d27911f5e37e6f2eac5dc0afa0fceef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-11-25T06:18:34Z","title_canon_sha256":"dafe32ba34789173192dcd3037960f6af2b4811a8212fa206732d961d0a7e049"},"schema_version":"1.0","source":{"id":"1111.5898","kind":"arxiv","version":1}},"canonical_sha256":"e30616035cc580ec8f42a4c517168dc7a36d902f127690474e4df0d29f554476","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e30616035cc580ec8f42a4c517168dc7a36d902f127690474e4df0d29f554476","first_computed_at":"2026-05-18T01:24:04.696095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:04.696095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qIIHvIZx+czRE0hAJkdvJwW6Bj+vKotbNeyU1N7m+x7x1ouQe3RF0pw+HwnX4fsycIagUBv/yJmL/wDYMH9KAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:04.696816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5898","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20c49d39174d647da29344be78930fa7fb5607b9cc7336aaa181fba3d1f0e17a","sha256:07e163f62f7f44b0776e71da83007205e78a9b88ae77265d6172397986e55b34"],"state_sha256":"6f0667c5116e349fd9ccdd444b440e730ad3c4d42a1b96ce11ba75d8d65e5a26"}