{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VVFCDAZWDSL54D6FYGIJEMRHPP","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":"c6973dbb9e801543b4f0a6002f8eebc4071a69e64e8560a053d9727b081aa569","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-05-15T03:50:50Z","title_canon_sha256":"5b74f8624758d2ad4d7e026630f21dcdff5977b635699b0e74fc9a7a2a9a82a9"},"schema_version":"1.0","source":{"id":"1005.2647","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2647","created_at":"2026-05-18T04:42:03Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2647v2","created_at":"2026-05-18T04:42:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2647","created_at":"2026-05-18T04:42:03Z"},{"alias_kind":"pith_short_12","alias_value":"VVFCDAZWDSL5","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VVFCDAZWDSL54D6F","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VVFCDAZW","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:1f1d11a6234748ea2d4b0700afdaaa17bda30d5e9f04e5a44b909450339a5161","target":"graph","created_at":"2026-05-18T04:42:03Z","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":"Partial actions of Hopf algebras can be considered as a generalization of partial actions of groups on algebras. Among important properties of partial Hopf actions, it is possible to prove the existence of enveloping actions, i.e., every partial Hopf action on a algebra A is induced by a Hopf action on a algebra B that contains A as a right ideal. This globalization theorem allows to extend several results from the theory of partial group actions to the Hopf algebraic setting. In this article, we prove a dual version of the globalization theorem: that every partial coaction of a Hopf algebra a","authors_text":"Eliezer Batista, Marcelo Muniz S. Alves","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-05-15T03:50:50Z","title":"Globalization theorems for partial Hopf (co)actions, and some of their applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2647","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":"sha256:1d0f5c7294114b69affe4ce9b703226f1f9fa5be5a8abd5ceadede6bdb44c912","target":"record","created_at":"2026-05-18T04:42:03Z","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":"c6973dbb9e801543b4f0a6002f8eebc4071a69e64e8560a053d9727b081aa569","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2010-05-15T03:50:50Z","title_canon_sha256":"5b74f8624758d2ad4d7e026630f21dcdff5977b635699b0e74fc9a7a2a9a82a9"},"schema_version":"1.0","source":{"id":"1005.2647","kind":"arxiv","version":2}},"canonical_sha256":"ad4a2183361c97de0fc5c1909232277bf2275f71d0e4213191f72375ecfef08e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad4a2183361c97de0fc5c1909232277bf2275f71d0e4213191f72375ecfef08e","first_computed_at":"2026-05-18T04:42:03.878654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:03.878654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZMNFi1bAJirRSuwjr1WYvDe4XMQb35wsgOhR9GExTrK6hWeBjU4rlyBGuhvoaeyFwgBXDtKg0X6Od+SyYxPzCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:03.879057Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.2647","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d0f5c7294114b69affe4ce9b703226f1f9fa5be5a8abd5ceadede6bdb44c912","sha256:1f1d11a6234748ea2d4b0700afdaaa17bda30d5e9f04e5a44b909450339a5161"],"state_sha256":"edfac96941e71050715761b6661de5e3805d0d11fd98d527d26287e1a84e16b6"}