{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:B7KPZ27ZIM2NAPAX5NMELOHLQ2","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":"34cae6dea10ec713c89b4a09ce9ae6cc66243b6c7a99726815bd5a8c3967899d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-08-29T18:02:04Z","title_canon_sha256":"21882c1a181e6fdb4e9ec393a95ccd44f8bf10740b0dc28717500d7eca0bfb5b"},"schema_version":"1.0","source":{"id":"1708.08940","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08940","created_at":"2026-05-18T00:36:21Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08940v1","created_at":"2026-05-18T00:36:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08940","created_at":"2026-05-18T00:36:21Z"},{"alias_kind":"pith_short_12","alias_value":"B7KPZ27ZIM2N","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"B7KPZ27ZIM2NAPAX","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"B7KPZ27Z","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:6346d9634d123cd73cb1e2988464dad0df3cbfe8eb37adee9147f0e382bcf664","target":"graph","created_at":"2026-05-18T00:36:21Z","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":"UJ-rings are studied, i.e. ring in which all units can be presented in a form 1 + x, for some x\\in J(R). The behavior of UJ-rings under various algebraic construction is investigated. In particular, it is shown that the problem of lifting the UJ property from a ring R to the polynomial ring R[x] is equivalent to the Kothe's problem for F_2-algebras.","authors_text":"Andre Leroy, Jerzy Matczuk, M.Tamer Kosan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-08-29T18:02:04Z","title":"On UJ-rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08940","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:cbfa0b83a1d697d8528de320f8b9b4302851e879e2a46ba1e976bdcf88ee9bed","target":"record","created_at":"2026-05-18T00:36:21Z","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":"34cae6dea10ec713c89b4a09ce9ae6cc66243b6c7a99726815bd5a8c3967899d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-08-29T18:02:04Z","title_canon_sha256":"21882c1a181e6fdb4e9ec393a95ccd44f8bf10740b0dc28717500d7eca0bfb5b"},"schema_version":"1.0","source":{"id":"1708.08940","kind":"arxiv","version":1}},"canonical_sha256":"0fd4fcebf94334d03c17eb5845b8eb868eab7e82580d79492b61fc24c395a914","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fd4fcebf94334d03c17eb5845b8eb868eab7e82580d79492b61fc24c395a914","first_computed_at":"2026-05-18T00:36:21.621247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:21.621247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VUfX/hM/Ub3av/0QC7IWWaGP+R8X2ogDqi3weazPaorSqXTEW2iG/8ZyGxNzIu1z+nKt3o6tNEbL7ipwOGyMAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:21.621984Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.08940","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbfa0b83a1d697d8528de320f8b9b4302851e879e2a46ba1e976bdcf88ee9bed","sha256:6346d9634d123cd73cb1e2988464dad0df3cbfe8eb37adee9147f0e382bcf664"],"state_sha256":"1c2febbd50abe314a10991280dcd80b15e61f683877b818f2228774e09eae24b"}