{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5XKBHARUADFV33TOWTRNCLHXJK","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":"7772d78b99aa9e0650beda0f13165e6b0e5a5ea04cde545588c2ff033c1664ed","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-06-15T17:04:26Z","title_canon_sha256":"4161ac4dd0c2153071555a62258fafdc5fd396dcaac5d0a362e43c79ceaf937e"},"schema_version":"1.0","source":{"id":"1506.04671","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04671","created_at":"2026-05-18T00:30:49Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04671v1","created_at":"2026-05-18T00:30:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04671","created_at":"2026-05-18T00:30:49Z"},{"alias_kind":"pith_short_12","alias_value":"5XKBHARUADFV","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"5XKBHARUADFV33TO","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"5XKBHARU","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:2b3af69d7d8334d8e9a330c26f2645e29860bf4dd17673b7888b3c8ea677d9ae","target":"graph","created_at":"2026-05-18T00:30:49Z","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 equip the categorified quantum group attached to a KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that f=f^** for all 2-morphisms f. This is accomplished via a modified diagrammatic formalism.","authors_text":"Aaron D. Lauda, Anna Beliakova, Ben Webster, Kazuo Habiro","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-06-15T17:04:26Z","title":"Cyclicity for categorified quantum groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04671","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":"sha256:44326148d5901cd5faa5437f67d7977b6266bf068717c3f84b20bd763da73935","target":"record","created_at":"2026-05-18T00:30:49Z","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":"7772d78b99aa9e0650beda0f13165e6b0e5a5ea04cde545588c2ff033c1664ed","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-06-15T17:04:26Z","title_canon_sha256":"4161ac4dd0c2153071555a62258fafdc5fd396dcaac5d0a362e43c79ceaf937e"},"schema_version":"1.0","source":{"id":"1506.04671","kind":"arxiv","version":1}},"canonical_sha256":"edd413823400cb5dee6eb4e2d12cf74a8c4678414cbe3a085ad970e68565323e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edd413823400cb5dee6eb4e2d12cf74a8c4678414cbe3a085ad970e68565323e","first_computed_at":"2026-05-18T00:30:49.476084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:49.476084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uQK/Gxaasn+XUG612Y6Lx3uWhBZBlCojIjJF3vDAC+6168kiyodf2VxeU1hsGcRbog8NeSyZD5tM9Ye/Ry4MDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:49.476745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.04671","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44326148d5901cd5faa5437f67d7977b6266bf068717c3f84b20bd763da73935","sha256:2b3af69d7d8334d8e9a330c26f2645e29860bf4dd17673b7888b3c8ea677d9ae"],"state_sha256":"785eadeb6616510ac3d1c833ef91ec94d7e0d11fc48d7a1b6900448421cab58f"}