{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VVWMWPAIRIXVUHR5SEODFCEDVH","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":"49c3bf969c1559dae8db5cd03aab693e7636a05b509758a2147bc02bd1bca42a","cross_cats_sorted":["hep-th","math-ph","math.MP","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-13T05:28:52Z","title_canon_sha256":"62b90175a338306042b78d2bd257e9d3f0f5494fffcd594584f91aad37a7fc2a"},"schema_version":"1.0","source":{"id":"1802.04463","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.04463","created_at":"2026-07-05T02:40:08Z"},{"alias_kind":"arxiv_version","alias_value":"1802.04463v4","created_at":"2026-07-05T02:40:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04463","created_at":"2026-07-05T02:40:08Z"},{"alias_kind":"pith_short_12","alias_value":"VVWMWPAIRIXV","created_at":"2026-07-05T02:40:08Z"},{"alias_kind":"pith_short_16","alias_value":"VVWMWPAIRIXVUHR5","created_at":"2026-07-05T02:40:08Z"},{"alias_kind":"pith_short_8","alias_value":"VVWMWPAI","created_at":"2026-07-05T02:40:08Z"}],"graph_snapshots":[{"event_id":"sha256:052531065bd17689bb3f0d69bc9b37131311e180a4dc21b47cceabae9e338fb5","target":"graph","created_at":"2026-07-05T02:40:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1802.04463/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that normalized quantum K-theoretic vertex functions for cotangent bundles of partial flag varieties are the eigenfunctions of quantum trigonometric Ruijsenaars-Schneider (tRS) Hamiltonians. Using recently observed relations between quantum Knizhnik-Zamolodchikov (qKZ) equations and tRS integrable system we derive a nontrivial identity for vertex functions with relative insertions.","authors_text":"Anton M. Zeitlin, Peter Koroteev","cross_cats":["hep-th","math-ph","math.MP","math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-13T05:28:52Z","title":"qKZ/tRS Duality via Quantum K-Theoretic Counts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04463","kind":"arxiv","version":4},"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":"sha256:65ff9c7875d19c967a44222be3bd988d6bf81c9e06e553a28965a24b1c42cc96","target":"record","created_at":"2026-07-05T02:40:08Z","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":"49c3bf969c1559dae8db5cd03aab693e7636a05b509758a2147bc02bd1bca42a","cross_cats_sorted":["hep-th","math-ph","math.MP","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-13T05:28:52Z","title_canon_sha256":"62b90175a338306042b78d2bd257e9d3f0f5494fffcd594584f91aad37a7fc2a"},"schema_version":"1.0","source":{"id":"1802.04463","kind":"arxiv","version":4}},"canonical_sha256":"ad6ccb3c088a2f5a1e3d911c328883a9c72e73b401810ccfb7b2a985856c406a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad6ccb3c088a2f5a1e3d911c328883a9c72e73b401810ccfb7b2a985856c406a","first_computed_at":"2026-07-05T02:40:08.096833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:40:08.096833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CO2N6Nh01y7hikzCRPMGwjk+KQK9M+uj7EGrpnJbDKUxy5LSDEbsABFEMqShNgM1zzZ/F+URNInYnntLEhKHCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:40:08.097328Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.04463","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65ff9c7875d19c967a44222be3bd988d6bf81c9e06e553a28965a24b1c42cc96","sha256:052531065bd17689bb3f0d69bc9b37131311e180a4dc21b47cceabae9e338fb5"],"state_sha256":"547e759eb700dbdcb83c4a6f5e18e2494f5d99407eb3158f4f61860215929b36"}