{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:C6IERC32YTFXVTSEYATARLLDTP","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":"524da16b2c2e50b15e472148516e1fcdab5dfc1216e727a1edbd021eac31add6","cross_cats_sorted":["math-ph","math.AG","math.MP","math.QA","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-06-07T20:35:45Z","title_canon_sha256":"490c21a6a1c52df8420c9f0e48120e615820535403ec87253ea6c9fb4de669a9"},"schema_version":"1.0","source":{"id":"2206.03565","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.03565","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"arxiv_version","alias_value":"2206.03565v2","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.03565","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"pith_short_12","alias_value":"C6IERC32YTFX","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"pith_short_16","alias_value":"C6IERC32YTFXVTSE","created_at":"2026-07-05T09:59:40Z"},{"alias_kind":"pith_short_8","alias_value":"C6IERC32","created_at":"2026-07-05T09:59:40Z"}],"graph_snapshots":[{"event_id":"sha256:46d0528c0e1c43ac4959a70d3901160bef7988cfc5e7d7a0a1dbc4ea65a741e2","target":"graph","created_at":"2026-07-05T09:59:40Z","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/2206.03565/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using brane quantization, we study the representation theory of the spherical double affine Hecke algebra of type $A_1$ in terms of the topological A-model on the moduli space of flat SL(2,C)-connections on a once-punctured torus. In particular, we provide an explicit match between finite-dimensional representations and A-branes with compact support; one consequence is the discovery of new finite-dimensional indecomposable representations. We proceed to embed the A-model story in an M-theory brane construction, closely related to the one used in the 3d/3d correspondence; as a result, we identi","authors_text":"Du Pei, Ingmar Saberi, Peter Koroteev, Satoshi Nawata, Sergei Gukov","cross_cats":["math-ph","math.AG","math.MP","math.QA","math.RT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-06-07T20:35:45Z","title":"Branes and DAHA Representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.03565","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:b9e675fb4ca39cca85671771d8ad7c32d598fbffed284ce28f80d1fcbd3ea684","target":"record","created_at":"2026-07-05T09:59:40Z","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":"524da16b2c2e50b15e472148516e1fcdab5dfc1216e727a1edbd021eac31add6","cross_cats_sorted":["math-ph","math.AG","math.MP","math.QA","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-06-07T20:35:45Z","title_canon_sha256":"490c21a6a1c52df8420c9f0e48120e615820535403ec87253ea6c9fb4de669a9"},"schema_version":"1.0","source":{"id":"2206.03565","kind":"arxiv","version":2}},"canonical_sha256":"1790488b7ac4cb7ace44c02608ad639bced5653dd08f1b54f0e3b28d3e713371","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1790488b7ac4cb7ace44c02608ad639bced5653dd08f1b54f0e3b28d3e713371","first_computed_at":"2026-07-05T09:59:40.242085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:59:40.242085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5rnwFkwZs1zrmojzYg9dGae3ZI6mscmMi/gam79LLLVOKyEOSiAJe5wM6O5s+obVih4Fd4uxE2nJkMMWGC7cAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:59:40.242499Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.03565","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9e675fb4ca39cca85671771d8ad7c32d598fbffed284ce28f80d1fcbd3ea684","sha256:46d0528c0e1c43ac4959a70d3901160bef7988cfc5e7d7a0a1dbc4ea65a741e2"],"state_sha256":"c8567b63184c6944cc1f34ad7191c72c1031dd05e63681fa240748392bd61171"}