{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FOP4SU2MJIHNWNNYLEZRPZ4ULL","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":"f7eaa4ae2ae1659c96882ab189a1d825fb9d6e5ebbed2506d2f958ed6d7dbefe","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.QA","submitted_at":"2017-10-24T09:33:02Z","title_canon_sha256":"9afbaaa7ddc26550f780c80e1131b44931fc8bbfec7be377dd37f38347faec9d"},"schema_version":"1.0","source":{"id":"1710.08672","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08672","created_at":"2026-05-18T00:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08672v3","created_at":"2026-05-18T00:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08672","created_at":"2026-05-18T00:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"FOP4SU2MJIHN","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FOP4SU2MJIHNWNNY","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FOP4SU2M","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:dad96f601cf700026783107791140c7a2376e2bef8e9b73aa0394f8129596195","target":"graph","created_at":"2026-05-18T00:15:52Z","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 establish $({\\mathfrak{gl}}_M, {\\mathfrak{gl}}_N)$-dualities between quantum Gaudin models with irregular singularities. Specifically, for any $M, N \\in {\\mathbb Z}_{\\geq 1}$ we consider two Gaudin models: the one associated with the Lie algebra ${\\mathfrak{gl}}_M$ which has a double pole at infinity and $N$ poles, counting multiplicities, in the complex plane, and the same model but with the roles of $M$ and $N$ interchanged. Both models can be realized in terms of Weyl algebras, i.e., free bosons; we establish that, in this realization, the algebras of integrals of motion of the two model","authors_text":"Benoit Vicedo, Charles Young","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.QA","submitted_at":"2017-10-24T09:33:02Z","title":"$({\\mathfrak{gl}}_M, {\\mathfrak{gl}}_N)$-Dualities in Gaudin Models with Irregular Singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08672","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":"sha256:9d0bb57c86bec46ded9f737b7aa74ba8bb20cdb99f76b5dba510145d9efb1f9b","target":"record","created_at":"2026-05-18T00:15:52Z","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":"f7eaa4ae2ae1659c96882ab189a1d825fb9d6e5ebbed2506d2f958ed6d7dbefe","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.QA","submitted_at":"2017-10-24T09:33:02Z","title_canon_sha256":"9afbaaa7ddc26550f780c80e1131b44931fc8bbfec7be377dd37f38347faec9d"},"schema_version":"1.0","source":{"id":"1710.08672","kind":"arxiv","version":3}},"canonical_sha256":"2b9fc9534c4a0edb35b8593317e7945ac83d1a3a39873ff31c10cb7adb6e9e3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b9fc9534c4a0edb35b8593317e7945ac83d1a3a39873ff31c10cb7adb6e9e3b","first_computed_at":"2026-05-18T00:15:52.338822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:52.338822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"44lyv7Us6Ts5wFGYEOociyNLY14b5Zimw0XmEYCxdHSxSY+2wJaAILFoyO86lv2x/td0SZEnGmP04d2MaWXQAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:52.339522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08672","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d0bb57c86bec46ded9f737b7aa74ba8bb20cdb99f76b5dba510145d9efb1f9b","sha256:dad96f601cf700026783107791140c7a2376e2bef8e9b73aa0394f8129596195"],"state_sha256":"d840907995e7284afd0a3c6b512431712ae7e0ff4988f3441b86caa1cc4096ce"}