{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:2R3WYMJJODEXST3VFVOW5ZMYO5","short_pith_number":"pith:2R3WYMJJ","schema_version":"1.0","canonical_sha256":"d4776c312970c9794f752d5d6ee598777e125ff67c32d7ed210b52c3f17027c0","source":{"kind":"arxiv","id":"1102.0422","version":2},"attestation_state":"computed","paper":{"title":"A quantum analogue of the dihedral action on Grassmannians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Jan E. Grabowski, Justin M. Allman","submitted_at":"2011-02-02T13:11:15Z","abstract_excerpt":"In recent work, Launois and Lenagan have shown how to construct a cocycle twisting of the quantum Grassmannian and an isomorphism of the twisted and untwisted algebras that sends a given quantum minor to the minor whose index set is permuted according to the $n$-cycle $c=(1, 2, ..., n)$, up to a power of $q$. This twisting is needed because $c$ does not naturally induce an automorphism of the quantum Grassmannian, as it does classically and semi-classically. We extend this construction to give a quantum analogue of the action on the Grassmannian of the dihedral subgroup of $S_{n}$ generated by"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1102.0422","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-02-02T13:11:15Z","cross_cats_sorted":[],"title_canon_sha256":"1a90fbbce8983f30959310d886ed72eab0585163ddf962ece968bdc24b30a07d","abstract_canon_sha256":"6cb112ef06b725d6785e8aca7cc0b64ec365e3a84a764aa8d46ddc8558962e88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:00.760473Z","signature_b64":"DlruLtDXGnUluOaiLGDKJNX9P4gQC8ETCuSyWRH/s74JB7riZeyTQIGBlKrL/FkW8tzkQ66wATW/bbD08f1/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4776c312970c9794f752d5d6ee598777e125ff67c32d7ed210b52c3f17027c0","last_reissued_at":"2026-05-18T03:10:00.759786Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:00.759786Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A quantum analogue of the dihedral action on Grassmannians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Jan E. Grabowski, Justin M. Allman","submitted_at":"2011-02-02T13:11:15Z","abstract_excerpt":"In recent work, Launois and Lenagan have shown how to construct a cocycle twisting of the quantum Grassmannian and an isomorphism of the twisted and untwisted algebras that sends a given quantum minor to the minor whose index set is permuted according to the $n$-cycle $c=(1, 2, ..., n)$, up to a power of $q$. This twisting is needed because $c$ does not naturally induce an automorphism of the quantum Grassmannian, as it does classically and semi-classically. We extend this construction to give a quantum analogue of the action on the Grassmannian of the dihedral subgroup of $S_{n}$ generated by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0422","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1102.0422","created_at":"2026-05-18T03:10:00.759883+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.0422v2","created_at":"2026-05-18T03:10:00.759883+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0422","created_at":"2026-05-18T03:10:00.759883+00:00"},{"alias_kind":"pith_short_12","alias_value":"2R3WYMJJODEX","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"2R3WYMJJODEXST3V","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"2R3WYMJJ","created_at":"2026-05-18T12:26:18.847500+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2R3WYMJJODEXST3VFVOW5ZMYO5","json":"https://pith.science/pith/2R3WYMJJODEXST3VFVOW5ZMYO5.json","graph_json":"https://pith.science/api/pith-number/2R3WYMJJODEXST3VFVOW5ZMYO5/graph.json","events_json":"https://pith.science/api/pith-number/2R3WYMJJODEXST3VFVOW5ZMYO5/events.json","paper":"https://pith.science/paper/2R3WYMJJ"},"agent_actions":{"view_html":"https://pith.science/pith/2R3WYMJJODEXST3VFVOW5ZMYO5","download_json":"https://pith.science/pith/2R3WYMJJODEXST3VFVOW5ZMYO5.json","view_paper":"https://pith.science/paper/2R3WYMJJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.0422&json=true","fetch_graph":"https://pith.science/api/pith-number/2R3WYMJJODEXST3VFVOW5ZMYO5/graph.json","fetch_events":"https://pith.science/api/pith-number/2R3WYMJJODEXST3VFVOW5ZMYO5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2R3WYMJJODEXST3VFVOW5ZMYO5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2R3WYMJJODEXST3VFVOW5ZMYO5/action/storage_attestation","attest_author":"https://pith.science/pith/2R3WYMJJODEXST3VFVOW5ZMYO5/action/author_attestation","sign_citation":"https://pith.science/pith/2R3WYMJJODEXST3VFVOW5ZMYO5/action/citation_signature","submit_replication":"https://pith.science/pith/2R3WYMJJODEXST3VFVOW5ZMYO5/action/replication_record"}},"created_at":"2026-05-18T03:10:00.759883+00:00","updated_at":"2026-05-18T03:10:00.759883+00:00"}