{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:QYULXRGQNO5RUMWD236K7MUWDR","short_pith_number":"pith:QYULXRGQ","schema_version":"1.0","canonical_sha256":"8628bbc4d06bbb1a32c3d6fcafb2961c6418e1b639eed3ce9b2e7aa458a8286e","source":{"kind":"arxiv","id":"0706.0243","version":3},"attestation_state":"computed","paper":{"title":"Braided doubles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Arkady Berenstein, Yuri Bazlov","submitted_at":"2007-06-02T00:49:32Z","abstract_excerpt":"Braided doubles provide a unifying framework for classical and quantum universal enveloping algebras and rational Cherednik algebras. They are a class of algebras with triangular decomposition, arising from a deformation problem, the solutions to which are called quasi-Yetter-Drinfeld modules. A basic family of quasi-YD modules is provided by braidings (matrices satisfying the quantum Yang-Baxter equation); these give rise to quantum versions of the Weyl algebra, where the role of polynomial rings is played by Nichols-Woronowicz algebras. Rational Cherednik algebras for t = 0 emerge as subalge"},"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":"0706.0243","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2007-06-02T00:49:32Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"2153434b2b4dcc4f1347f3730392e91f5ac10f17ad1c2ba8f3e2c8c06958ff44","abstract_canon_sha256":"19357b40a8f33e30fa6b28706bcd045f07d64b00dca369de45000468df47ed62"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:52.897188Z","signature_b64":"He7V6Rtw3RtnWRO3eU/Jif0Gu+RX6OPiOOCZ8pMhWmDqoA41ddU7yamJMXPPKRua7nb3RvtFenFEFNaW3viECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8628bbc4d06bbb1a32c3d6fcafb2961c6418e1b639eed3ce9b2e7aa458a8286e","last_reissued_at":"2026-05-18T04:07:52.896673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:52.896673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Braided doubles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Arkady Berenstein, Yuri Bazlov","submitted_at":"2007-06-02T00:49:32Z","abstract_excerpt":"Braided doubles provide a unifying framework for classical and quantum universal enveloping algebras and rational Cherednik algebras. They are a class of algebras with triangular decomposition, arising from a deformation problem, the solutions to which are called quasi-Yetter-Drinfeld modules. A basic family of quasi-YD modules is provided by braidings (matrices satisfying the quantum Yang-Baxter equation); these give rise to quantum versions of the Weyl algebra, where the role of polynomial rings is played by Nichols-Woronowicz algebras. Rational Cherednik algebras for t = 0 emerge as subalge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.0243","kind":"arxiv","version":3},"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":"0706.0243","created_at":"2026-05-18T04:07:52.896748+00:00"},{"alias_kind":"arxiv_version","alias_value":"0706.0243v3","created_at":"2026-05-18T04:07:52.896748+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.0243","created_at":"2026-05-18T04:07:52.896748+00:00"},{"alias_kind":"pith_short_12","alias_value":"QYULXRGQNO5R","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"QYULXRGQNO5RUMWD","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"QYULXRGQ","created_at":"2026-05-18T12:25:56.245647+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/QYULXRGQNO5RUMWD236K7MUWDR","json":"https://pith.science/pith/QYULXRGQNO5RUMWD236K7MUWDR.json","graph_json":"https://pith.science/api/pith-number/QYULXRGQNO5RUMWD236K7MUWDR/graph.json","events_json":"https://pith.science/api/pith-number/QYULXRGQNO5RUMWD236K7MUWDR/events.json","paper":"https://pith.science/paper/QYULXRGQ"},"agent_actions":{"view_html":"https://pith.science/pith/QYULXRGQNO5RUMWD236K7MUWDR","download_json":"https://pith.science/pith/QYULXRGQNO5RUMWD236K7MUWDR.json","view_paper":"https://pith.science/paper/QYULXRGQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0706.0243&json=true","fetch_graph":"https://pith.science/api/pith-number/QYULXRGQNO5RUMWD236K7MUWDR/graph.json","fetch_events":"https://pith.science/api/pith-number/QYULXRGQNO5RUMWD236K7MUWDR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QYULXRGQNO5RUMWD236K7MUWDR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QYULXRGQNO5RUMWD236K7MUWDR/action/storage_attestation","attest_author":"https://pith.science/pith/QYULXRGQNO5RUMWD236K7MUWDR/action/author_attestation","sign_citation":"https://pith.science/pith/QYULXRGQNO5RUMWD236K7MUWDR/action/citation_signature","submit_replication":"https://pith.science/pith/QYULXRGQNO5RUMWD236K7MUWDR/action/replication_record"}},"created_at":"2026-05-18T04:07:52.896748+00:00","updated_at":"2026-05-18T04:07:52.896748+00:00"}