{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E3Q3GIOPF2DYNBYGIV7F6XFAYE","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":"96105797454a1fabc5397ccf46fda40f261e06cf4bcc51c559513e52f789e8a4","cross_cats_sorted":["math.CT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-03-08T18:53:30Z","title_canon_sha256":"3b55470bf3d75a43bc2ab6e71c3ec0d4628b5e192e8e04f35c3401e5af46bb1c"},"schema_version":"1.0","source":{"id":"1303.2083","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2083","created_at":"2026-05-18T03:09:48Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2083v2","created_at":"2026-05-18T03:09:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2083","created_at":"2026-05-18T03:09:48Z"},{"alias_kind":"pith_short_12","alias_value":"E3Q3GIOPF2DY","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E3Q3GIOPF2DYNBYG","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E3Q3GIOP","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:7c81bf6677a1fa70fa9407736160681bbfd49f0c45f701be0d5e79f6efe4d5e5","target":"graph","created_at":"2026-05-18T03:09:48Z","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 study Morita rings $\\Lambda_{(\\phi,\\psi)}=\\bigl({smallmatrix} A &_AN_B_BM_A & B {smallmatrix}\\bigr)$ in the context of Artin algebras from various perspectives. First we study covariant finite, contravariant finite, and functorially finite subcategories of the module category of a Morita ring when the bimodule homomorphisms $\\phi$ and $\\psi$ are zero. Further we give bounds for the global dimension of a Morita ring $\\Lambda_{(0,0)}$, regarded as an Artin algebra, in terms of the global dimensions of $A$ and $B$ in the case when both $\\phi$ and $\\psi$ are zero. We illustrate our bounds with ","authors_text":"Chrysostomos Psaroudakis, Edward L. Green","cross_cats":["math.CT","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-03-08T18:53:30Z","title":"On Artin algebras arising from Morita contexts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2083","kind":"arxiv","version":2},"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:db32607afa2b65b7e29348bdd1b473e8146855e263a32cf634e4bde5aa9cc8fb","target":"record","created_at":"2026-05-18T03:09:48Z","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":"96105797454a1fabc5397ccf46fda40f261e06cf4bcc51c559513e52f789e8a4","cross_cats_sorted":["math.CT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-03-08T18:53:30Z","title_canon_sha256":"3b55470bf3d75a43bc2ab6e71c3ec0d4628b5e192e8e04f35c3401e5af46bb1c"},"schema_version":"1.0","source":{"id":"1303.2083","kind":"arxiv","version":2}},"canonical_sha256":"26e1b321cf2e87868706457e5f5ca0c1092aee23ce2154bf57b87fb6e790d316","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26e1b321cf2e87868706457e5f5ca0c1092aee23ce2154bf57b87fb6e790d316","first_computed_at":"2026-05-18T03:09:48.928744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:48.928744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5eZRO2HSnljfax90E18d9jc5/NRyQDDvJAaeXyM/cuqRdT/QxF4mJAC+pjJm7m0XVcsnAyz5blocV9CGYYm+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:48.929552Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2083","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db32607afa2b65b7e29348bdd1b473e8146855e263a32cf634e4bde5aa9cc8fb","sha256:7c81bf6677a1fa70fa9407736160681bbfd49f0c45f701be0d5e79f6efe4d5e5"],"state_sha256":"37e968fa9a6fe16d50ab3a8aaccbd5c23baf5d6abc25db0bebae8f9f1f2b14f3"}