{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:25KQSC4PLLPTB3LGN3S3X3TP2C","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":"c787d9c200bd6cbd5ff5e8402f82545d1a662d492e2b7bd409d065234954cb74","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-08-20T21:39:59Z","title_canon_sha256":"f0f9e540b5af8174a48b4a38d309691ee851a95a425ff7f7475d2f9b656a2d5c"},"schema_version":"1.0","source":{"id":"1908.07620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07620","created_at":"2026-07-05T03:43:15Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07620v1","created_at":"2026-07-05T03:43:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07620","created_at":"2026-07-05T03:43:15Z"},{"alias_kind":"pith_short_12","alias_value":"25KQSC4PLLPT","created_at":"2026-07-05T03:43:15Z"},{"alias_kind":"pith_short_16","alias_value":"25KQSC4PLLPTB3LG","created_at":"2026-07-05T03:43:15Z"},{"alias_kind":"pith_short_8","alias_value":"25KQSC4P","created_at":"2026-07-05T03:43:15Z"}],"graph_snapshots":[{"event_id":"sha256:9760966c2a3df6a3d7b61579c87c1ac25561d560ef7d5fffe3f0c1a6236aa60f","target":"graph","created_at":"2026-07-05T03:43:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.07620/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By constructing explicit examples, we show that the core of a group-like element in a cocommutative cosemisimple Yetter-Drinfel'd Hopf algebra over the group ring of a finite abelian group is not always completely trivial.","authors_text":"Yevgenia Kashina, Yorck Sommerhaeuser","cross_cats":["math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-08-20T21:39:59Z","title":"On Cores in Yetter-Drinfel'd Hopf Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07620","kind":"arxiv","version":1},"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:c6f8a7f3b9fb28db3e6749591cee7dae54e82dfff65056db692c58b407d06298","target":"record","created_at":"2026-07-05T03:43:15Z","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":"c787d9c200bd6cbd5ff5e8402f82545d1a662d492e2b7bd409d065234954cb74","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-08-20T21:39:59Z","title_canon_sha256":"f0f9e540b5af8174a48b4a38d309691ee851a95a425ff7f7475d2f9b656a2d5c"},"schema_version":"1.0","source":{"id":"1908.07620","kind":"arxiv","version":1}},"canonical_sha256":"d755090b8f5adf30ed666ee5bbee6fd0b0c544372b8ea86d4770893d3bc03cd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d755090b8f5adf30ed666ee5bbee6fd0b0c544372b8ea86d4770893d3bc03cd6","first_computed_at":"2026-07-05T03:43:15.605298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:43:15.605298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jjfaLWQES2CwC1+o2ueClyE3OAXAIn3g+MQcZcV6zEiT0d1kD5RgNFEYQdYPp3F4GpeJMEykJfa2llEQOPf6AA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:43:15.605735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.07620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6f8a7f3b9fb28db3e6749591cee7dae54e82dfff65056db692c58b407d06298","sha256:9760966c2a3df6a3d7b61579c87c1ac25561d560ef7d5fffe3f0c1a6236aa60f"],"state_sha256":"0ced27bbbc474a9bc160c09aab53c4fbaaaada897a820d8325017a8eedb3eaa7"}