{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:H2YNYKNV3M6RIILJHXF6Y5WZXJ","short_pith_number":"pith:H2YNYKNV","schema_version":"1.0","canonical_sha256":"3eb0dc29b5db3d1421693dcbec76d9ba5c36b2de64880d7efa648eefd75adb10","source":{"kind":"arxiv","id":"1807.01894","version":3},"attestation_state":"computed","paper":{"title":"Gelfand-Kirillov dimension of cosemisimple Hopf algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"Alexandru Chirvasitu, Chelsea Walton, Xingting Wang","submitted_at":"2018-07-05T08:46:46Z","abstract_excerpt":"In this note, we compute the Gelfand-Kirillov dimension of cosemisimple Hopf algebras that arise as deformations of a linearly reductive algebraic group. Our work lies in a purely algebraic setting and generalizes results of Goodearl-Zhang (2007), of Banica-Vergnioux (2009), and of D'Andrea-Pinzari-Rossi (2017)."},"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":"1807.01894","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-07-05T08:46:46Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"396cf0b4bc26b898f11ff54e08d5c5da38f456198e640292d93ef564ecaafbc0","abstract_canon_sha256":"02093e3dc62a2c4ef18692cc34c7ded96aed627957dec89c44522ee4709093e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:54.456687Z","signature_b64":"APX5WbqFGGCjF2EtYOXHTyRBav76NzeUQzsK1ivq8U0Boi3x5ALCAinUL9RqOymSZ4VfhV4K9TCEdeqnMFCvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3eb0dc29b5db3d1421693dcbec76d9ba5c36b2de64880d7efa648eefd75adb10","last_reissued_at":"2026-05-17T23:51:54.456191Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:54.456191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gelfand-Kirillov dimension of cosemisimple Hopf algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"Alexandru Chirvasitu, Chelsea Walton, Xingting Wang","submitted_at":"2018-07-05T08:46:46Z","abstract_excerpt":"In this note, we compute the Gelfand-Kirillov dimension of cosemisimple Hopf algebras that arise as deformations of a linearly reductive algebraic group. Our work lies in a purely algebraic setting and generalizes results of Goodearl-Zhang (2007), of Banica-Vergnioux (2009), and of D'Andrea-Pinzari-Rossi (2017)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.01894","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":"1807.01894","created_at":"2026-05-17T23:51:54.456267+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.01894v3","created_at":"2026-05-17T23:51:54.456267+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.01894","created_at":"2026-05-17T23:51:54.456267+00:00"},{"alias_kind":"pith_short_12","alias_value":"H2YNYKNV3M6R","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"H2YNYKNV3M6RIILJ","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"H2YNYKNV","created_at":"2026-05-18T12:32:28.185984+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/H2YNYKNV3M6RIILJHXF6Y5WZXJ","json":"https://pith.science/pith/H2YNYKNV3M6RIILJHXF6Y5WZXJ.json","graph_json":"https://pith.science/api/pith-number/H2YNYKNV3M6RIILJHXF6Y5WZXJ/graph.json","events_json":"https://pith.science/api/pith-number/H2YNYKNV3M6RIILJHXF6Y5WZXJ/events.json","paper":"https://pith.science/paper/H2YNYKNV"},"agent_actions":{"view_html":"https://pith.science/pith/H2YNYKNV3M6RIILJHXF6Y5WZXJ","download_json":"https://pith.science/pith/H2YNYKNV3M6RIILJHXF6Y5WZXJ.json","view_paper":"https://pith.science/paper/H2YNYKNV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.01894&json=true","fetch_graph":"https://pith.science/api/pith-number/H2YNYKNV3M6RIILJHXF6Y5WZXJ/graph.json","fetch_events":"https://pith.science/api/pith-number/H2YNYKNV3M6RIILJHXF6Y5WZXJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H2YNYKNV3M6RIILJHXF6Y5WZXJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H2YNYKNV3M6RIILJHXF6Y5WZXJ/action/storage_attestation","attest_author":"https://pith.science/pith/H2YNYKNV3M6RIILJHXF6Y5WZXJ/action/author_attestation","sign_citation":"https://pith.science/pith/H2YNYKNV3M6RIILJHXF6Y5WZXJ/action/citation_signature","submit_replication":"https://pith.science/pith/H2YNYKNV3M6RIILJHXF6Y5WZXJ/action/replication_record"}},"created_at":"2026-05-17T23:51:54.456267+00:00","updated_at":"2026-05-17T23:51:54.456267+00:00"}