{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Z5O5KPI22QAZOIUTBCMIAQI7OA","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":"a72a93b746604fb6db329d36071d3a40be6eefbe67042da2b5679f7a424977da","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-15T21:52:15Z","title_canon_sha256":"bfdb0a05ebe4ebc1c1bdb1dbbb363055434b72590c4c1a9e2f0cada0dae37701"},"schema_version":"1.0","source":{"id":"1504.04055","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04055","created_at":"2026-05-18T01:12:13Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04055v4","created_at":"2026-05-18T01:12:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04055","created_at":"2026-05-18T01:12:13Z"},{"alias_kind":"pith_short_12","alias_value":"Z5O5KPI22QAZ","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"Z5O5KPI22QAZOIUT","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"Z5O5KPI2","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:b54406c6bb413d562c6b2746d5070263794a0e129367aefe9d98b1c03692615f","target":"graph","created_at":"2026-05-18T01:12:13Z","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 discuss connections between certain classes of supersymmetric quiver gauge theories and integrable lattice models from the point of view of topological quantum field theories (TQFTs). The relevant classes include 4d $\\mathcal{N} = 1$ theories known as brane box and brane tilling models, 3d $\\mathcal{N} = 2$ and 2d $\\mathcal{N} = (2,2)$ theories obtained from them by compactification, and 2d $\\mathcal{N} = (0,2)$ theories closely related to these theories. We argue that their supersymmetric indices carry structures of TQFTs equipped with line operators, and as a consequence, are equal to the","authors_text":"Junya Yagi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-15T21:52:15Z","title":"Quiver gauge theories and integrable lattice models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04055","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":"sha256:3508189d87d5f8c0452886b216c29de776999bb4a3d258c6654f8260cf075298","target":"record","created_at":"2026-05-18T01:12:13Z","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":"a72a93b746604fb6db329d36071d3a40be6eefbe67042da2b5679f7a424977da","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-15T21:52:15Z","title_canon_sha256":"bfdb0a05ebe4ebc1c1bdb1dbbb363055434b72590c4c1a9e2f0cada0dae37701"},"schema_version":"1.0","source":{"id":"1504.04055","kind":"arxiv","version":4}},"canonical_sha256":"cf5dd53d1ad401972293089880411f702ad87d94b78fbb2f32cf2f3d0e5839d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf5dd53d1ad401972293089880411f702ad87d94b78fbb2f32cf2f3d0e5839d1","first_computed_at":"2026-05-18T01:12:13.507636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:13.507636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"69rAMZi0rr3dSmOQsB+Amnk+rUsvw1w/bocfvGQuBb/w9LYBLQbvm/Mc3pIHcVS0If/qRnF4u1FQ17QxIelqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:13.508152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.04055","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3508189d87d5f8c0452886b216c29de776999bb4a3d258c6654f8260cf075298","sha256:b54406c6bb413d562c6b2746d5070263794a0e129367aefe9d98b1c03692615f"],"state_sha256":"8a6dc38ff1753b0f1c703335f2796fdebfd3b33eee3c2a1be46d8fefe91ed6ed"}