{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:U7TNDKBBJOIZDCJ7LEDWWCZ67D","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":"d606d143bfa1ba6fbdbfe91560f2e7bfd9e8e50e5d36055a25ed7a9016027c8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T06:21:01Z","title_canon_sha256":"7f168997884eb6fafe57e7d4316f6ba8bd587687a069b26c09cdda17657ee4c8"},"schema_version":"1.0","source":{"id":"1812.11705","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11705","created_at":"2026-07-05T00:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11705v2","created_at":"2026-07-05T00:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11705","created_at":"2026-07-05T00:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"U7TNDKBBJOIZ","created_at":"2026-07-05T00:15:46Z"},{"alias_kind":"pith_short_16","alias_value":"U7TNDKBBJOIZDCJ7","created_at":"2026-07-05T00:15:46Z"},{"alias_kind":"pith_short_8","alias_value":"U7TNDKBB","created_at":"2026-07-05T00:15:46Z"}],"graph_snapshots":[{"event_id":"sha256:1165a807ced3af4dbaa78d55a24ecedc1a115af5403cfa962607600c479dbd3e","target":"graph","created_at":"2026-07-05T00:15:46Z","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/1812.11705/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use conformal embeddings involving exceptional affine Kac-Moody algebras to derive new dualities of three-dimensional topological field theories. These generalize the familiar level-rank duality of Chern-Simons theories based on classical gauge groups to the setting of exceptional gauge groups. For instance, one duality sequence we discuss is $(E_{N})_{1}\\leftrightarrow SU(9-N)_{-1}$. Others such as $SO(3)_{8}\\leftrightarrow PSU(3)_{-6},$ are dualities among theories with classical gauge groups that arise due to their embedding into an exceptional chiral algebra. We apply these equivalences","authors_text":"Clay Cordova, Kantaro Ohmori, Po-Shen Hsin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T06:21:01Z","title":"Exceptional Chern-Simons-Matter Dualities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11705","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":"sha256:7315e1038a6afa6c0561ac2243e88a981c02c3e587615b2ffeff646da7e62abd","target":"record","created_at":"2026-07-05T00:15:46Z","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":"d606d143bfa1ba6fbdbfe91560f2e7bfd9e8e50e5d36055a25ed7a9016027c8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T06:21:01Z","title_canon_sha256":"7f168997884eb6fafe57e7d4316f6ba8bd587687a069b26c09cdda17657ee4c8"},"schema_version":"1.0","source":{"id":"1812.11705","kind":"arxiv","version":2}},"canonical_sha256":"a7e6d1a8214b9191893f59076b0b3ef8e68616da7a7e5956bafc90ac79217a1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7e6d1a8214b9191893f59076b0b3ef8e68616da7a7e5956bafc90ac79217a1f","first_computed_at":"2026-07-05T00:15:46.495297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:15:46.495297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RUBeZWLbygzjWSzR00AKjyAYBe51Lnz81lO/yTzIQ1/MaOb9imp6ZeArQLRASvTdgzYHgFPIrvGToTIv9yg4Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:15:46.495751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.11705","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7315e1038a6afa6c0561ac2243e88a981c02c3e587615b2ffeff646da7e62abd","sha256:1165a807ced3af4dbaa78d55a24ecedc1a115af5403cfa962607600c479dbd3e"],"state_sha256":"6d0e6fc5fc886ccfe994b5522d88f07e08341963f6dbd2ca9052de54d8bf46aa"}