{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:A7V2SHVVEP2XADJXKVEBI7S7F5","short_pith_number":"pith:A7V2SHVV","schema_version":"1.0","canonical_sha256":"07eba91eb523f5700d375548147e5f2f79a1cde637e4e9d7024108a102205b15","source":{"kind":"arxiv","id":"1305.6949","version":2},"attestation_state":"computed","paper":{"title":"Twisting the q-deformations of compact semisimple Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Makoto Yamashita, Sergey Neshveyev","submitted_at":"2013-05-29T20:54:29Z","abstract_excerpt":"Given a compact semisimple Lie group $G$ of rank $r$, and a parameter $q>0$, we can define new associativity morphisms in Rep(Gq) using a 3-cocycle $\\Phi$ on the dual of the center of G, thus getting a new tensor category Rep(Gq)$^\\Phi$. For a class of cocycles $\\Phi$ we construct compact quantum groups $G^\\tau_q$ with representation categories Rep(Gq)$^\\Phi$. The construction depends on the choice of an r-tuple $\\tau$ of elements in the center of G. In the simplest case of G=SU(2) and $\\tau=-1$, our construction produces Woronowicz's quantum group SU_{-q}(2) out of SUq(2). More generally, for"},"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":"1305.6949","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-29T20:54:29Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"d24983de6af97849e3d38490f6c3dcc2024a1c133ce32a61c266491eba977ef0","abstract_canon_sha256":"92eb3d392874be1227d7d7380b8504825a3a62cafd7e39e1126c4079dcc9c531"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:00.987471Z","signature_b64":"bv5d4OpGwL6KhrFZPNJHCp9f0QeeyyL+ZL9JppQS1zIdncP/2phgwS6kay2iz8Y+ep+Ktf7q0JK5DsNpO7yqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07eba91eb523f5700d375548147e5f2f79a1cde637e4e9d7024108a102205b15","last_reissued_at":"2026-05-18T03:19:00.986767Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:00.986767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twisting the q-deformations of compact semisimple Lie groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Makoto Yamashita, Sergey Neshveyev","submitted_at":"2013-05-29T20:54:29Z","abstract_excerpt":"Given a compact semisimple Lie group $G$ of rank $r$, and a parameter $q>0$, we can define new associativity morphisms in Rep(Gq) using a 3-cocycle $\\Phi$ on the dual of the center of G, thus getting a new tensor category Rep(Gq)$^\\Phi$. For a class of cocycles $\\Phi$ we construct compact quantum groups $G^\\tau_q$ with representation categories Rep(Gq)$^\\Phi$. The construction depends on the choice of an r-tuple $\\tau$ of elements in the center of G. In the simplest case of G=SU(2) and $\\tau=-1$, our construction produces Woronowicz's quantum group SU_{-q}(2) out of SUq(2). More generally, for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6949","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":"1305.6949","created_at":"2026-05-18T03:19:00.986862+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.6949v2","created_at":"2026-05-18T03:19:00.986862+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6949","created_at":"2026-05-18T03:19:00.986862+00:00"},{"alias_kind":"pith_short_12","alias_value":"A7V2SHVVEP2X","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"A7V2SHVVEP2XADJX","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"A7V2SHVV","created_at":"2026-05-18T12:27:38.830355+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/A7V2SHVVEP2XADJXKVEBI7S7F5","json":"https://pith.science/pith/A7V2SHVVEP2XADJXKVEBI7S7F5.json","graph_json":"https://pith.science/api/pith-number/A7V2SHVVEP2XADJXKVEBI7S7F5/graph.json","events_json":"https://pith.science/api/pith-number/A7V2SHVVEP2XADJXKVEBI7S7F5/events.json","paper":"https://pith.science/paper/A7V2SHVV"},"agent_actions":{"view_html":"https://pith.science/pith/A7V2SHVVEP2XADJXKVEBI7S7F5","download_json":"https://pith.science/pith/A7V2SHVVEP2XADJXKVEBI7S7F5.json","view_paper":"https://pith.science/paper/A7V2SHVV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.6949&json=true","fetch_graph":"https://pith.science/api/pith-number/A7V2SHVVEP2XADJXKVEBI7S7F5/graph.json","fetch_events":"https://pith.science/api/pith-number/A7V2SHVVEP2XADJXKVEBI7S7F5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A7V2SHVVEP2XADJXKVEBI7S7F5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A7V2SHVVEP2XADJXKVEBI7S7F5/action/storage_attestation","attest_author":"https://pith.science/pith/A7V2SHVVEP2XADJXKVEBI7S7F5/action/author_attestation","sign_citation":"https://pith.science/pith/A7V2SHVVEP2XADJXKVEBI7S7F5/action/citation_signature","submit_replication":"https://pith.science/pith/A7V2SHVVEP2XADJXKVEBI7S7F5/action/replication_record"}},"created_at":"2026-05-18T03:19:00.986862+00:00","updated_at":"2026-05-18T03:19:00.986862+00:00"}