{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XHSRT53V6JU6OR3OCP56B5E3DR","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":"90abcc21aa36e412106c4e638e86f8703421533a7440c8077546fe41db94f300","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-10-16T11:55:04Z","title_canon_sha256":"292165b55045fd4887aae9096fb89b90f64193fe8e0f9601791c69d3d2213b06"},"schema_version":"1.0","source":{"id":"1410.4383","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4383","created_at":"2026-05-18T01:30:08Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4383v3","created_at":"2026-05-18T01:30:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4383","created_at":"2026-05-18T01:30:08Z"},{"alias_kind":"pith_short_12","alias_value":"XHSRT53V6JU6","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XHSRT53V6JU6OR3O","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XHSRT53V","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:943c7fe0d62b7612c95d0a1a7a1199355d31acf230afddf58f254c6f9d68ae72","target":"graph","created_at":"2026-05-18T01:30:08Z","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":"Cherednik attached to an affine Hecke algebra module a compatible system of difference equations, called quantum affine Knizhnik-Zamolodchikov (KZ) equations. In case of a principal series module we construct a basis of power series solutions of the quantum affine KZ equations. Relating the bases for different asymptotic sectors gives rise to a Weyl group cocycle, which we compute explicitly in terms of theta functions. For the spin representation of the affine Hecke algebra of type C the quantum affine KZ equations become the boundary qKZ equations associated to the Heisenberg spin-1/2 XXZ ch","authors_text":"Jasper V. Stokman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-10-16T11:55:04Z","title":"Connection problems for quantum affine KZ equations and integrable lattice models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4383","kind":"arxiv","version":3},"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":"sha256:59ba309feaeced6062f2e08da23e23ba0575d8179666053e3652d3a88225cf26","target":"record","created_at":"2026-05-18T01:30:08Z","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":"90abcc21aa36e412106c4e638e86f8703421533a7440c8077546fe41db94f300","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-10-16T11:55:04Z","title_canon_sha256":"292165b55045fd4887aae9096fb89b90f64193fe8e0f9601791c69d3d2213b06"},"schema_version":"1.0","source":{"id":"1410.4383","kind":"arxiv","version":3}},"canonical_sha256":"b9e519f775f269e7476e13fbe0f49b1c41f291c0334ce6704e4b610ffb7d3460","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9e519f775f269e7476e13fbe0f49b1c41f291c0334ce6704e4b610ffb7d3460","first_computed_at":"2026-05-18T01:30:08.289795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:08.289795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X56u7JyvqWMGpCZTjYIUb07G/NLM4RKY0Nyr7DGtZ/HbU2RVnZ9CioHDN8ewtBKz8MvOUE4b/03q0XrQ2yYEAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:08.290297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4383","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59ba309feaeced6062f2e08da23e23ba0575d8179666053e3652d3a88225cf26","sha256:943c7fe0d62b7612c95d0a1a7a1199355d31acf230afddf58f254c6f9d68ae72"],"state_sha256":"0925ed31156fc1dc242580594f6e4b71660a367e1fea861c03cfe53222d902fb"}