{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NMYY3IVUXJIHSGCUPNM3KFYMDB","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":"a0c338b883f85f7fa73f8ad08dfb059a68d1fec0d8caf512141ead370fb23253","cross_cats_sorted":["math.MP","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-23T06:37:11Z","title_canon_sha256":"96cf4f197895b0bf55d9274edf85ab8059ba591883aca20d7271e9a1865c72f3"},"schema_version":"1.0","source":{"id":"1706.07574","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07574","created_at":"2026-05-18T00:12:56Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07574v2","created_at":"2026-05-18T00:12:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07574","created_at":"2026-05-18T00:12:56Z"},{"alias_kind":"pith_short_12","alias_value":"NMYY3IVUXJIH","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NMYY3IVUXJIHSGCU","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NMYY3IVU","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:c71e22a16660f520d845b7a137941665d43ab5c19f65abb9a235025134cae046","target":"graph","created_at":"2026-05-18T00:12:56Z","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 introduce a category O of modules over the elliptic quantum group of sl_N with well-behaved q-character theory. We construct asymptotic modules as analytic continuation of a family of finite-dimensional modules, the Kirillov--Reshetikhin modules. In the Grothendieck ring of this category we prove two types of identities: generalized Baxter relations in the spirit of Frenkel--Hernandez between finite-dimensional modules and asymptotic modules; three-term Baxter TQ relations of infinite-dimensional modules.","authors_text":"Huafeng Zhang","cross_cats":["math.MP","math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-23T06:37:11Z","title":"Elliptic quantum groups and Baxter relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07574","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:bb2e61d820d509a30c59e957685c7bb546fdd1f5e9029538bfa7d321344f4121","target":"record","created_at":"2026-05-18T00:12:56Z","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":"a0c338b883f85f7fa73f8ad08dfb059a68d1fec0d8caf512141ead370fb23253","cross_cats_sorted":["math.MP","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-23T06:37:11Z","title_canon_sha256":"96cf4f197895b0bf55d9274edf85ab8059ba591883aca20d7271e9a1865c72f3"},"schema_version":"1.0","source":{"id":"1706.07574","kind":"arxiv","version":2}},"canonical_sha256":"6b318da2b4ba507918547b59b5170c18517526635d960e9c0d5a7a9cfc68dd19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b318da2b4ba507918547b59b5170c18517526635d960e9c0d5a7a9cfc68dd19","first_computed_at":"2026-05-18T00:12:56.849974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:56.849974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/5jzDKGcOTLTyzzE5eL1j4El2rKxq0u+bpE8z8VajtvyIDLSICFM2Wmx+VIGEvAXIelqM6+8P9ZGRwISjiMwCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:56.850665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.07574","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb2e61d820d509a30c59e957685c7bb546fdd1f5e9029538bfa7d321344f4121","sha256:c71e22a16660f520d845b7a137941665d43ab5c19f65abb9a235025134cae046"],"state_sha256":"41672b5ab84af6f6586d87b2e463107e29726bcadb4aa6b81d30860dbbf43a3c"}