{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6LTG3YB7Q6UKEIIK256AIZAQFQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f13946cc5acc456f7b30db851b55b9852a8b08f3744728391180e472ada4d6b5","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-10-06T15:03:06Z","title_canon_sha256":"154ad436747c8872068a9fbd81d334aaea2058924e6d37a742713c371cd635a9"},"schema_version":"1.0","source":{"id":"1410.1404","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1404","created_at":"2026-05-18T02:04:04Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1404v2","created_at":"2026-05-18T02:04:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1404","created_at":"2026-05-18T02:04:04Z"},{"alias_kind":"pith_short_12","alias_value":"6LTG3YB7Q6UK","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6LTG3YB7Q6UKEIIK","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6LTG3YB7","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:c0f3f51cee20fc916de38df2c9b9ae804857da76fc749b6638125f590d9bb7bb","target":"graph","created_at":"2026-05-18T02:04:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In a recent paper of Bhowmick, Skalski and So{\\l}tan the notion of a quantum group of automorphisms of a finite quantum group was introduced and, for a given finite quantum group G, existence of the universal quantum group acting on G by automorphisms was proved. We show that this universal quantum group is in fact a classical group. The key ingredient of the proof is the use of multiplicative unitary operators, and we include a thorough discussion of this notion in the context of finite quantum groups.","authors_text":"Pawe{\\l} Kasprzak, Piotr M. So{\\l}tan, Stanis{\\l}aw L. Woronowicz","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-10-06T15:03:06Z","title":"Quantum automorphism groups of finite quantum groups are classical"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1404","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:eb9dbd3e48143c06a142668b71e920556365f72b2d8773c1a28191306dfd1db5","target":"record","created_at":"2026-05-18T02:04:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f13946cc5acc456f7b30db851b55b9852a8b08f3744728391180e472ada4d6b5","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-10-06T15:03:06Z","title_canon_sha256":"154ad436747c8872068a9fbd81d334aaea2058924e6d37a742713c371cd635a9"},"schema_version":"1.0","source":{"id":"1410.1404","kind":"arxiv","version":2}},"canonical_sha256":"f2e66de03f87a8a2210ad77c0464102c2a69131d88af69f052f475e4a6bb940b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2e66de03f87a8a2210ad77c0464102c2a69131d88af69f052f475e4a6bb940b","first_computed_at":"2026-05-18T02:04:04.584690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:04.584690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wvbSBPmU47BPoSchz/Q9eMBo4vwkN92+bOSTDU6VKmowXBQ+poOinVtoTV4iSePV1qFeXAQaaoV1WMznkE5VCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:04.585459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1404","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb9dbd3e48143c06a142668b71e920556365f72b2d8773c1a28191306dfd1db5","sha256:c0f3f51cee20fc916de38df2c9b9ae804857da76fc749b6638125f590d9bb7bb"],"state_sha256":"b97b19646547563e9eedf9d783d1eb83cc42311b2f1c81628d74a5cfdd7b244d"}