{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:HLS5PQ36L66SRVM6VMV2F3GD7U","short_pith_number":"pith:HLS5PQ36","schema_version":"1.0","canonical_sha256":"3ae5d7c37e5fbd28d59eab2ba2ecc3fd310e4761af02cdde0cdd9c79d38f6660","source":{"kind":"arxiv","id":"1106.6192","version":1},"attestation_state":"computed","paper":{"title":"Isomorphisms between Morita context rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"C. Boboc, L. van Wyk, S. Dascalescu","submitted_at":"2011-06-30T11:31:28Z","abstract_excerpt":"Let $(R, S,_R\\negthinspace M_S,_S\\negthinspace N_R, f, g)$ be a general Morita context, and let $T=[{cc} R &_RM_S_SN_R & S]$ be the ring associated with this context. Similarly, let $T'=[{cc} R' & M' N' & S']$ be another Morita context ring. We study the set ${Iso}(T,T')$ of ring isomorphisms from $T$ to $T'$. Our interest in this problem is motivated by: (i) the problem to determine the automorphism group of the ring $T$, and (ii) the recovery of the non-diagonal tiles problem for this type of generalized matrix rings.\n  We introduce two classes of isomorphisms from $T$ to $T'$, the disjoint "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1106.6192","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-06-30T11:31:28Z","cross_cats_sorted":[],"title_canon_sha256":"3a97a2a83fd03b642c4742a5dd8011496edd6161ef09f86674ed661e5b052dbc","abstract_canon_sha256":"69d45115e2de09be9e2c69d092242caa4bfe81b4ff19a8e96c7e7dc096ec56e2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:03.787931Z","signature_b64":"lvr22Kmp+ILoMyoZ0YS66MYWTfGVdae8VhK4G7SyQ07zqn/nRZ4qbmESd/AJrll9Q/7xmFHgDvgB4OCZK6jbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ae5d7c37e5fbd28d59eab2ba2ecc3fd310e4761af02cdde0cdd9c79d38f6660","last_reissued_at":"2026-05-18T04:19:03.787333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:03.787333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Isomorphisms between Morita context rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"C. Boboc, L. van Wyk, S. Dascalescu","submitted_at":"2011-06-30T11:31:28Z","abstract_excerpt":"Let $(R, S,_R\\negthinspace M_S,_S\\negthinspace N_R, f, g)$ be a general Morita context, and let $T=[{cc} R &_RM_S_SN_R & S]$ be the ring associated with this context. Similarly, let $T'=[{cc} R' & M' N' & S']$ be another Morita context ring. We study the set ${Iso}(T,T')$ of ring isomorphisms from $T$ to $T'$. Our interest in this problem is motivated by: (i) the problem to determine the automorphism group of the ring $T$, and (ii) the recovery of the non-diagonal tiles problem for this type of generalized matrix rings.\n  We introduce two classes of isomorphisms from $T$ to $T'$, the disjoint "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6192","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1106.6192","created_at":"2026-05-18T04:19:03.787426+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.6192v1","created_at":"2026-05-18T04:19:03.787426+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.6192","created_at":"2026-05-18T04:19:03.787426+00:00"},{"alias_kind":"pith_short_12","alias_value":"HLS5PQ36L66S","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"HLS5PQ36L66SRVM6","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"HLS5PQ36","created_at":"2026-05-18T12:26:30.835961+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HLS5PQ36L66SRVM6VMV2F3GD7U","json":"https://pith.science/pith/HLS5PQ36L66SRVM6VMV2F3GD7U.json","graph_json":"https://pith.science/api/pith-number/HLS5PQ36L66SRVM6VMV2F3GD7U/graph.json","events_json":"https://pith.science/api/pith-number/HLS5PQ36L66SRVM6VMV2F3GD7U/events.json","paper":"https://pith.science/paper/HLS5PQ36"},"agent_actions":{"view_html":"https://pith.science/pith/HLS5PQ36L66SRVM6VMV2F3GD7U","download_json":"https://pith.science/pith/HLS5PQ36L66SRVM6VMV2F3GD7U.json","view_paper":"https://pith.science/paper/HLS5PQ36","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.6192&json=true","fetch_graph":"https://pith.science/api/pith-number/HLS5PQ36L66SRVM6VMV2F3GD7U/graph.json","fetch_events":"https://pith.science/api/pith-number/HLS5PQ36L66SRVM6VMV2F3GD7U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HLS5PQ36L66SRVM6VMV2F3GD7U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HLS5PQ36L66SRVM6VMV2F3GD7U/action/storage_attestation","attest_author":"https://pith.science/pith/HLS5PQ36L66SRVM6VMV2F3GD7U/action/author_attestation","sign_citation":"https://pith.science/pith/HLS5PQ36L66SRVM6VMV2F3GD7U/action/citation_signature","submit_replication":"https://pith.science/pith/HLS5PQ36L66SRVM6VMV2F3GD7U/action/replication_record"}},"created_at":"2026-05-18T04:19:03.787426+00:00","updated_at":"2026-05-18T04:19:03.787426+00:00"}