{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FGVPPKABSSATANUT2SXO26AESE","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":"1963344d70cef4a088d532fffbb00418f552b474e5ae36d53700ba67051bc7a7","cross_cats_sorted":["math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-10-09T08:02:52Z","title_canon_sha256":"33f6db60fea7636e6b36cff8fcb5b28497dc1525a3d31574fc47f7a73e1b94b9"},"schema_version":"1.0","source":{"id":"1510.02587","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02587","created_at":"2026-05-18T00:46:08Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02587v3","created_at":"2026-05-18T00:46:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02587","created_at":"2026-05-18T00:46:08Z"},{"alias_kind":"pith_short_12","alias_value":"FGVPPKABSSAT","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FGVPPKABSSATANUT","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FGVPPKAB","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:056edc7e3d28589eebae0623636a9ca774d95b54c743fe5094fd990edc9fd430","target":"graph","created_at":"2026-05-18T00:46:08Z","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":"We give a description of the category of restricted Lie algebras over a field $\\Bbbk $ of prime characteristic by means of monadic decomposition of the functor that computes the $\\Bbbk $-vector space of primitive elements of a $\\Bbbk $-bialgebra.","authors_text":"Alessandro Ardizzoni, Claudia Menini, Isar Goyvaerts","cross_cats":["math.QA","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-10-09T08:02:52Z","title":"Restricted Lie algebras via monadic decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02587","kind":"arxiv","version":3},"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":"sha256:535d908b66f384c37d9b4a4bb76cb11841ed831c88d7a2cc2c7bddb1b19c520a","target":"record","created_at":"2026-05-18T00:46:08Z","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":"1963344d70cef4a088d532fffbb00418f552b474e5ae36d53700ba67051bc7a7","cross_cats_sorted":["math.QA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-10-09T08:02:52Z","title_canon_sha256":"33f6db60fea7636e6b36cff8fcb5b28497dc1525a3d31574fc47f7a73e1b94b9"},"schema_version":"1.0","source":{"id":"1510.02587","kind":"arxiv","version":3}},"canonical_sha256":"29aaf7a8019481303693d4aeed78049117bdcc6e8fce4e44af9b19688f60707a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29aaf7a8019481303693d4aeed78049117bdcc6e8fce4e44af9b19688f60707a","first_computed_at":"2026-05-18T00:46:08.383907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:08.383907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U1dCXgCqS+UrmAHFRFQeFh7dyuYNGuP05n6ezmZQrfK48/5fm2eiq/8p1QcqO5EysfEppA0H3QjRAfxeQXN0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:08.384362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02587","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:535d908b66f384c37d9b4a4bb76cb11841ed831c88d7a2cc2c7bddb1b19c520a","sha256:056edc7e3d28589eebae0623636a9ca774d95b54c743fe5094fd990edc9fd430"],"state_sha256":"be22a19e4a4e89f527fc752fa3d6672facb01d51f450e20322273ff1f2902f3e"}