{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:4IVGNL3EERFSBFXREB3KTBU2AO","short_pith_number":"pith:4IVGNL3E","schema_version":"1.0","canonical_sha256":"e22a66af64244b2096f12076a9869a03baf2618290f3bf74d37f7770d318f1b7","source":{"kind":"arxiv","id":"1012.4935","version":2},"attestation_state":"computed","paper":{"title":"Gauge deformations for Hopf algebras with the dual Chevalley property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"Alessandro Ardizzoni, Claudia Menini, Margaret Beattie","submitted_at":"2010-12-22T10:57:40Z","abstract_excerpt":"Let $A$ be a Hopf algebra over a field $K$ of characteristic zero such that its coradical $H$ is a finite dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge transformation $\\zeta $ on $A$ such that $A^{\\zeta}\\cong Q#H$ where $A^\\zeta$ is the dual quasi-bialgebra obtained from $A$ by twisting its multiplication by $\\zeta$, $Q$ is a connected dual quasi-bialgebra in $^H_H\\mathcal{YD}$ and $Q #H $ is a dual quasi-bialgebra called the bosonization of $Q$ by $H$."},"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":"1012.4935","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-12-22T10:57:40Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"7128c71c9d7347ad63797fccad63e543d7883e8870240f16d9ad0a6edc08d89f","abstract_canon_sha256":"5c8ec143b51159812cbaf339e65d4b794dbaa981f28897a78fe6594c0aa84851"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:03.227890Z","signature_b64":"DB5YjKHdFklCdSaKQjd2LxsWyq+Pild3ZdKiBfbgi0G6peGI1eEPt+GK30wN67IGrkisoO6yJ9VBB54sr76eAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e22a66af64244b2096f12076a9869a03baf2618290f3bf74d37f7770d318f1b7","last_reissued_at":"2026-05-18T04:19:03.227346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:03.227346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauge deformations for Hopf algebras with the dual Chevalley property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"Alessandro Ardizzoni, Claudia Menini, Margaret Beattie","submitted_at":"2010-12-22T10:57:40Z","abstract_excerpt":"Let $A$ be a Hopf algebra over a field $K$ of characteristic zero such that its coradical $H$ is a finite dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge transformation $\\zeta $ on $A$ such that $A^{\\zeta}\\cong Q#H$ where $A^\\zeta$ is the dual quasi-bialgebra obtained from $A$ by twisting its multiplication by $\\zeta$, $Q$ is a connected dual quasi-bialgebra in $^H_H\\mathcal{YD}$ and $Q #H $ is a dual quasi-bialgebra called the bosonization of $Q$ by $H$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4935","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":"1012.4935","created_at":"2026-05-18T04:19:03.227441+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.4935v2","created_at":"2026-05-18T04:19:03.227441+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4935","created_at":"2026-05-18T04:19:03.227441+00:00"},{"alias_kind":"pith_short_12","alias_value":"4IVGNL3EERFS","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"4IVGNL3EERFSBFXR","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"4IVGNL3E","created_at":"2026-05-18T12:26:03.138858+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/4IVGNL3EERFSBFXREB3KTBU2AO","json":"https://pith.science/pith/4IVGNL3EERFSBFXREB3KTBU2AO.json","graph_json":"https://pith.science/api/pith-number/4IVGNL3EERFSBFXREB3KTBU2AO/graph.json","events_json":"https://pith.science/api/pith-number/4IVGNL3EERFSBFXREB3KTBU2AO/events.json","paper":"https://pith.science/paper/4IVGNL3E"},"agent_actions":{"view_html":"https://pith.science/pith/4IVGNL3EERFSBFXREB3KTBU2AO","download_json":"https://pith.science/pith/4IVGNL3EERFSBFXREB3KTBU2AO.json","view_paper":"https://pith.science/paper/4IVGNL3E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.4935&json=true","fetch_graph":"https://pith.science/api/pith-number/4IVGNL3EERFSBFXREB3KTBU2AO/graph.json","fetch_events":"https://pith.science/api/pith-number/4IVGNL3EERFSBFXREB3KTBU2AO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4IVGNL3EERFSBFXREB3KTBU2AO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4IVGNL3EERFSBFXREB3KTBU2AO/action/storage_attestation","attest_author":"https://pith.science/pith/4IVGNL3EERFSBFXREB3KTBU2AO/action/author_attestation","sign_citation":"https://pith.science/pith/4IVGNL3EERFSBFXREB3KTBU2AO/action/citation_signature","submit_replication":"https://pith.science/pith/4IVGNL3EERFSBFXREB3KTBU2AO/action/replication_record"}},"created_at":"2026-05-18T04:19:03.227441+00:00","updated_at":"2026-05-18T04:19:03.227441+00:00"}