{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:C2DFYOHGDVS2CLDOXSHQNTMIZK","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":"f43373763c3bcb4a58ffef0d042efaf1da926bebe96f5d2e9541ecfe1e48b3f7","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-31T18:44:25Z","title_canon_sha256":"ada5159bbb9928d21d31139c0de2f62b11122926b514aec4b8635f556e167db8"},"schema_version":"1.0","source":{"id":"1512.09338","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.09338","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"1512.09338v1","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.09338","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"C2DFYOHGDVS2","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C2DFYOHGDVS2CLDO","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C2DFYOHG","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:6d0168721478e690f06b40f470919a2aeab176cdb36648866936595efcac5802","target":"graph","created_at":"2026-05-18T01:23:32Z","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 method to study the finiteness of the coradical filtration of a coalgebra; as a consequence, we show that a left semiartinian profinite algebra has nilpotent Jacobson radical and is right semiartinian too. Equivalently, we show that a for a semilocal profinite algebra, T-nilpotence implies nilpotence for the Jacobson radical. This answers two open questions from \\cite{INT}.","authors_text":"Miodrag C. Iovanov","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-31T18:44:25Z","title":"Semiartinian profinite algebras have nilpotent Jacobson radical"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.09338","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":"sha256:32fdfc21d5f1503da6819fb461de30c5cfa593a22206cd2ca6d98f061bd9a8cb","target":"record","created_at":"2026-05-18T01:23:32Z","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":"f43373763c3bcb4a58ffef0d042efaf1da926bebe96f5d2e9541ecfe1e48b3f7","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-12-31T18:44:25Z","title_canon_sha256":"ada5159bbb9928d21d31139c0de2f62b11122926b514aec4b8635f556e167db8"},"schema_version":"1.0","source":{"id":"1512.09338","kind":"arxiv","version":1}},"canonical_sha256":"16865c38e61d65a12c6ebc8f06cd88ca813ec408b14b46f63dbef18d6c2b293c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16865c38e61d65a12c6ebc8f06cd88ca813ec408b14b46f63dbef18d6c2b293c","first_computed_at":"2026-05-18T01:23:32.635631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:32.635631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eE0+K96oHF/vA3FqdRVug7ZW4H+wyK2o1t2OyveOnwxWTojBNe3z/GApESggF4Q4sg+g/hwx6eKk6hdroPurCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:32.636376Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.09338","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32fdfc21d5f1503da6819fb461de30c5cfa593a22206cd2ca6d98f061bd9a8cb","sha256:6d0168721478e690f06b40f470919a2aeab176cdb36648866936595efcac5802"],"state_sha256":"f597ec36a02dfbca82ff9fd7ec79a496def899acfcdae8d0b9a7f7ab2cca192b"}