{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VDETS5QNGVMP36DFDVHJ4NJRAR","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":"d82644e2fb57a6ccf0b6fa8b72e717f3319fc831a674d40ec83e0172584a8565","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-11-12T05:09:31Z","title_canon_sha256":"332bf4f14c6231adf29c4b2760ddda895f0674d917ca4506348747e9a537a2de"},"schema_version":"1.0","source":{"id":"1111.2901","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2901","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2901v1","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2901","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"VDETS5QNGVMP","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"VDETS5QNGVMP36DF","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"VDETS5QN","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:df70706db1fbe894a933f34a77bd310b3eba3caa02a7fbf502f823a10095490b","target":"graph","created_at":"2026-05-18T04:08:23Z","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 positive answer to a conjecture of Faith stating that a self-injective semiprimary ring is QF, for algebras which are at most countable dimensional modulo their Jacobson radical. As a consequence of the method used, we also give short proofs of several other known positive cases of this conjecture.","authors_text":"Miodrag C. Iovanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-11-12T05:09:31Z","title":"Semiprimary selfinjective algebras with at most countable dimensional Jacobson quotient are QF"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2901","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:c80183e728b4c4a83e0e6a2857c904d0957329079781cbc0c41c08503c98f0d8","target":"record","created_at":"2026-05-18T04:08:23Z","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":"d82644e2fb57a6ccf0b6fa8b72e717f3319fc831a674d40ec83e0172584a8565","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-11-12T05:09:31Z","title_canon_sha256":"332bf4f14c6231adf29c4b2760ddda895f0674d917ca4506348747e9a537a2de"},"schema_version":"1.0","source":{"id":"1111.2901","kind":"arxiv","version":1}},"canonical_sha256":"a8c939760d3558fdf8651d4e9e35310451f2491c719d754070a2f1eac9dc135e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8c939760d3558fdf8651d4e9e35310451f2491c719d754070a2f1eac9dc135e","first_computed_at":"2026-05-18T04:08:23.494085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:23.494085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DHVTTSSAX9ykOZfHoUqSpAj8GX1EdQ4BBi8WE9yWp59Zlnn368mbvTTU/5FnpzE/Cm5Gi6DNUQq57dYHa7JDAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:23.494641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.2901","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c80183e728b4c4a83e0e6a2857c904d0957329079781cbc0c41c08503c98f0d8","sha256:df70706db1fbe894a933f34a77bd310b3eba3caa02a7fbf502f823a10095490b"],"state_sha256":"2dc20530cc468c6cb3cf027f8ed9ac507cba0a3a1649e5c5fef8d3d8f18bfd7f"}