{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:2JMQUX5U2UPITHY4UU6GEABBEN","short_pith_number":"pith:2JMQUX5U","schema_version":"1.0","canonical_sha256":"d2590a5fb4d51e899f1ca53c620021234164f075e61d1a3f9ba16814279d0fd1","source":{"kind":"arxiv","id":"0904.2558","version":2},"attestation_state":"computed","paper":{"title":"Finite dimensional pointed Hopf algebras over S_4","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Agustin Garcia Iglesias, Gaston Andres Garcia","submitted_at":"2009-04-16T18:44:27Z","abstract_excerpt":"Let k be an algebraically closed field of characteristic 0. We conclude the classification of finite dimensional pointed Hopf algebras whose group of group-likes is S_4. We also describe all pointed Hopf algebras over S_5 whose infinitesimal braiding is associated to the rack of transpositions."},"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":"0904.2558","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-04-16T18:44:27Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"3bf1634cbcc57260881dbc4f165b7ef43d570f2e42c83a69117c09f0b9ce76f4","abstract_canon_sha256":"1c775702fafb28164008dcdff641d429fe8e80af680e750cbad0c8de1da07f1d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:35.108621Z","signature_b64":"cSxN5UJIBN9BkBZ8aG1IRRuon+kUn9vMx8MH+KU5Mep9jVixUh4dcRyR83/V/W+gYwaJbylnFMiTNK2opesHBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2590a5fb4d51e899f1ca53c620021234164f075e61d1a3f9ba16814279d0fd1","last_reissued_at":"2026-05-18T00:14:35.107928Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:35.107928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite dimensional pointed Hopf algebras over S_4","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Agustin Garcia Iglesias, Gaston Andres Garcia","submitted_at":"2009-04-16T18:44:27Z","abstract_excerpt":"Let k be an algebraically closed field of characteristic 0. We conclude the classification of finite dimensional pointed Hopf algebras whose group of group-likes is S_4. We also describe all pointed Hopf algebras over S_5 whose infinitesimal braiding is associated to the rack of transpositions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2558","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":"0904.2558","created_at":"2026-05-18T00:14:35.108038+00:00"},{"alias_kind":"arxiv_version","alias_value":"0904.2558v2","created_at":"2026-05-18T00:14:35.108038+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2558","created_at":"2026-05-18T00:14:35.108038+00:00"},{"alias_kind":"pith_short_12","alias_value":"2JMQUX5U2UPI","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"2JMQUX5U2UPITHY4","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"2JMQUX5U","created_at":"2026-05-18T12:25:58.018023+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/2JMQUX5U2UPITHY4UU6GEABBEN","json":"https://pith.science/pith/2JMQUX5U2UPITHY4UU6GEABBEN.json","graph_json":"https://pith.science/api/pith-number/2JMQUX5U2UPITHY4UU6GEABBEN/graph.json","events_json":"https://pith.science/api/pith-number/2JMQUX5U2UPITHY4UU6GEABBEN/events.json","paper":"https://pith.science/paper/2JMQUX5U"},"agent_actions":{"view_html":"https://pith.science/pith/2JMQUX5U2UPITHY4UU6GEABBEN","download_json":"https://pith.science/pith/2JMQUX5U2UPITHY4UU6GEABBEN.json","view_paper":"https://pith.science/paper/2JMQUX5U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0904.2558&json=true","fetch_graph":"https://pith.science/api/pith-number/2JMQUX5U2UPITHY4UU6GEABBEN/graph.json","fetch_events":"https://pith.science/api/pith-number/2JMQUX5U2UPITHY4UU6GEABBEN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2JMQUX5U2UPITHY4UU6GEABBEN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2JMQUX5U2UPITHY4UU6GEABBEN/action/storage_attestation","attest_author":"https://pith.science/pith/2JMQUX5U2UPITHY4UU6GEABBEN/action/author_attestation","sign_citation":"https://pith.science/pith/2JMQUX5U2UPITHY4UU6GEABBEN/action/citation_signature","submit_replication":"https://pith.science/pith/2JMQUX5U2UPITHY4UU6GEABBEN/action/replication_record"}},"created_at":"2026-05-18T00:14:35.108038+00:00","updated_at":"2026-05-18T00:14:35.108038+00:00"}