{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BB7HBUQSMPDGXNEOGQW7JAPTIK","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":"dec7a0cb88a0b026b692098522b15750c3cd79bde8cb34f5d8c5c48f397a4ce9","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-03-16T10:02:36Z","title_canon_sha256":"2ae8b67d69ac786fd967dfc4387b9d8f11e8cea9f1fa133fce28b9f929757ca3"},"schema_version":"1.0","source":{"id":"1603.05014","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05014","created_at":"2026-05-18T00:56:20Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05014v2","created_at":"2026-05-18T00:56:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05014","created_at":"2026-05-18T00:56:20Z"},{"alias_kind":"pith_short_12","alias_value":"BB7HBUQSMPDG","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BB7HBUQSMPDGXNEO","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BB7HBUQS","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:037ccbe4a9c5f35c405702e8d88bd33c1c70efebdc85b292f7be1b50f1e26428","target":"graph","created_at":"2026-05-18T00:56:20Z","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":"Let $\\mathcal{O}$ be the category of representations of the Borel subalgebra of a quantum affine algebra introduced by Jimbo and the first author. We show that the Grothendieck ring of a certain monoidal subcategory of $\\mathcal{O}$ has the structure of a cluster algebra of infinite rank, with an initial seed consisting of prefundamental representations. In particular, the celebrated Baxter relations for the 6-vertex model get interpreted as Fomin-Zelevinsky mutation relations.","authors_text":"Bernard Leclerc, David Hernandez","cross_cats":["cond-mat.stat-mech","hep-th","math.RA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-03-16T10:02:36Z","title":"Cluster algebras and category O for representations of Borel subalgebras of quantum affine algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05014","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":"sha256:57f499c6f975edfd759ca622b4aa47021757f44acaf283d0b5ee54b5bec41004","target":"record","created_at":"2026-05-18T00:56:20Z","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":"dec7a0cb88a0b026b692098522b15750c3cd79bde8cb34f5d8c5c48f397a4ce9","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-03-16T10:02:36Z","title_canon_sha256":"2ae8b67d69ac786fd967dfc4387b9d8f11e8cea9f1fa133fce28b9f929757ca3"},"schema_version":"1.0","source":{"id":"1603.05014","kind":"arxiv","version":2}},"canonical_sha256":"087e70d21263c66bb48e342df481f342b2af3fd86712b213152c97103e0d93cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"087e70d21263c66bb48e342df481f342b2af3fd86712b213152c97103e0d93cd","first_computed_at":"2026-05-18T00:56:20.878713Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:20.878713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RdAznfQTnONQ6pSy2WycozUjlcWHFOrbS5VRyYkQLN9rMS7UZgnkXwdn9KCQQlU9XLXyVK+vX6WYz0GTRThcDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:20.879449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05014","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57f499c6f975edfd759ca622b4aa47021757f44acaf283d0b5ee54b5bec41004","sha256:037ccbe4a9c5f35c405702e8d88bd33c1c70efebdc85b292f7be1b50f1e26428"],"state_sha256":"6bf5485be352cfd2dc475eee84477e00fc3ff981257cd6e30fc127b69c39ce30"}