{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZMMPYMGNB43YKQF6EROP5RMLXI","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":"3429dbf231f37f0e8b622c1c5cc75bcc271eda286631f7b476bc0200c3f0eb49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-10-07T08:50:56Z","title_canon_sha256":"20902ff29c137bb202d520910c58431de2a139a2adc7d476eecd99a09b1b5bd8"},"schema_version":"1.0","source":{"id":"1410.1643","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1643","created_at":"2026-05-18T00:26:02Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1643v4","created_at":"2026-05-18T00:26:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1643","created_at":"2026-05-18T00:26:02Z"},{"alias_kind":"pith_short_12","alias_value":"ZMMPYMGNB43Y","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZMMPYMGNB43YKQF6","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZMMPYMGN","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:fa0bff940d93806060bcd1ac41d26e47fae7bb94670253c8914be3e381392b85","target":"graph","created_at":"2026-05-18T00:26:02Z","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":"The category of quasi frames (or qframes) is introduced and studied. In the context of qframes we can jointly study problems related to the L-Surjunctivity and Stable Finiteness Conjectures. As a consequences of our main results, we can generalize some of the known results on these conjectures. In particular, let $R$ be a ring, let $G$ be a sofic group, fix a crossed product $R*G$ and let $N$ be a right $R$-module. It is proved that: (1) the endomorphism ring $End_{R* G}(N\\otimes_R R*G)$ is stably finite, provided $N$ is finitely generated and has Krull dimension; (2) any linear cellular autom","authors_text":"Simone Virili","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-10-07T08:50:56Z","title":"A point-free approach to L-Surjunctivity and Stable Finiteness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1643","kind":"arxiv","version":4},"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":"sha256:80c6a3fa0d2cc0a7ba4d10bda871293374b564e7ac8ee1d72d420eb107175090","target":"record","created_at":"2026-05-18T00:26:02Z","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":"3429dbf231f37f0e8b622c1c5cc75bcc271eda286631f7b476bc0200c3f0eb49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-10-07T08:50:56Z","title_canon_sha256":"20902ff29c137bb202d520910c58431de2a139a2adc7d476eecd99a09b1b5bd8"},"schema_version":"1.0","source":{"id":"1410.1643","kind":"arxiv","version":4}},"canonical_sha256":"cb18fc30cd0f378540be245cfec58bba2fe56acdfd7aec3e34253833c5b3b93a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb18fc30cd0f378540be245cfec58bba2fe56acdfd7aec3e34253833c5b3b93a","first_computed_at":"2026-05-18T00:26:02.552504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:02.552504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e125zQZrO/iYJ5/T8S6nRXXSky1UjMSxaN+YW2V3EqZCgl2l6XvZDNgTdWJgJag6LSIW9BkhqujEhuRFwcWvBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:02.553180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1643","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80c6a3fa0d2cc0a7ba4d10bda871293374b564e7ac8ee1d72d420eb107175090","sha256:fa0bff940d93806060bcd1ac41d26e47fae7bb94670253c8914be3e381392b85"],"state_sha256":"a05cdf76c411e497ce00e8e1cd9a4856866bb53f6b5585b47d1960643be62d11"}