{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:57U7AVSH5WEQTPS5AWGOXNGVUS","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":"dadc692d203db820a2187e2594644550bbacd957d6e242f23ecddc9dcd40d719","cross_cats_sorted":["math.GT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.QA","submitted_at":"2013-09-19T14:05:03Z","title_canon_sha256":"3d2d69dc611cbed755df83bb15c59d66ca9a3aa35897657924b019c3ce6c6ef3"},"schema_version":"1.0","source":{"id":"1309.4985","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4985","created_at":"2026-05-18T02:18:50Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4985v3","created_at":"2026-05-18T02:18:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4985","created_at":"2026-05-18T02:18:50Z"},{"alias_kind":"pith_short_12","alias_value":"57U7AVSH5WEQ","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"57U7AVSH5WEQTPS5","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"57U7AVSH","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:9e3fda5c030c5298a0edf17a8daf91461732380bc14fc06097408634713c2817","target":"graph","created_at":"2026-05-18T02:18:50Z","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 show that we can release the rigidity of the skew Howe duality process for ${\\mathfrak sl}_n$ knot invariants by rescaling the quantum Weyl group action, and recover skein modules for web-tangles. This skew Howe duality phenomenon can be extended to the affine ${\\mathfrak sl}_m$ case, corresponding to looking at tangles embedded in a solid torus. We investigate the relations between the invariants constructed by evaluation representations (and affinization of them) and usual skein modules, and give tools for interpretations of annular skein modules as sub-algebras of intertwiners for partic","authors_text":"Hoel Queffelec","cross_cats":["math.GT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.QA","submitted_at":"2013-09-19T14:05:03Z","title":"Skein Modules from Skew Howe Duality and Affine Extensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4985","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":"sha256:9f3e8a9a3bbe7bc876eb4a0ec723f4a405b1e9ea80a7d19cb11d3d91a81f5849","target":"record","created_at":"2026-05-18T02:18:50Z","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":"dadc692d203db820a2187e2594644550bbacd957d6e242f23ecddc9dcd40d719","cross_cats_sorted":["math.GT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.QA","submitted_at":"2013-09-19T14:05:03Z","title_canon_sha256":"3d2d69dc611cbed755df83bb15c59d66ca9a3aa35897657924b019c3ce6c6ef3"},"schema_version":"1.0","source":{"id":"1309.4985","kind":"arxiv","version":3}},"canonical_sha256":"efe9f05647ed8909be5d058cebb4d5a4986fc3b1731cf16b284faaeebd1ad730","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efe9f05647ed8909be5d058cebb4d5a4986fc3b1731cf16b284faaeebd1ad730","first_computed_at":"2026-05-18T02:18:50.055192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:50.055192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JWkVm22gDDoAoAsehUTMTkGqH4nioZPAaYWKDIf70qn+sIcLjKFJO9tnOAyyRhsQfqrp3fCbpZAdVEh/l33bBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:50.055880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4985","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f3e8a9a3bbe7bc876eb4a0ec723f4a405b1e9ea80a7d19cb11d3d91a81f5849","sha256:9e3fda5c030c5298a0edf17a8daf91461732380bc14fc06097408634713c2817"],"state_sha256":"044474069c701b40c0def4eb31714e9a0300c6e7577ed98a5d30885cb46453a5"}