{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:REWYNCEKA7C63QT2GXBXEFL7C6","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":"e4df975c21c67b3eef1cc1aa3d0b0fa0492d6d53269d81427c9c89aa40878a21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-10-17T09:08:25Z","title_canon_sha256":"f683ff32ec2684cd7dd6ea13c6678e2fb141f51e81fb5a486a8e170f6addd0e3"},"schema_version":"1.0","source":{"id":"1210.4675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.4675","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"arxiv_version","alias_value":"1210.4675v1","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4675","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"pith_short_12","alias_value":"REWYNCEKA7C6","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"REWYNCEKA7C63QT2","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"REWYNCEK","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:83b031a3103c9fb632dd22166d50cb726b6e904f592082226d3ee5044bde23b5","target":"graph","created_at":"2026-05-18T03:42:56Z","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 describe isomorphisms between strongly triangular matrix rings that were defined earlier in Berkenmeier et al. (2000) as ones having a complete set of triangulating idempotents, and we show that the so-called triangulating idempotents behave analogously to idempotents in semiperfect rings. This study yields also a way to compute theoretically the automorphism groups of such rings in terms of corresponding automorphism groups of certain subrings and bimodules involved in their structure.","authors_text":"L. van Wyk, P. N. Anh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-10-17T09:08:25Z","title":"Isomorphisms between strongly triangular matrix rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4675","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:d6624d35cf55cff9213527faf88663bfc0bf884db194730a8d6b97405d553139","target":"record","created_at":"2026-05-18T03:42:56Z","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":"e4df975c21c67b3eef1cc1aa3d0b0fa0492d6d53269d81427c9c89aa40878a21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-10-17T09:08:25Z","title_canon_sha256":"f683ff32ec2684cd7dd6ea13c6678e2fb141f51e81fb5a486a8e170f6addd0e3"},"schema_version":"1.0","source":{"id":"1210.4675","kind":"arxiv","version":1}},"canonical_sha256":"892d86888a07c5edc27a35c372157f17b0084f76420e099c6d032400763c2a55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"892d86888a07c5edc27a35c372157f17b0084f76420e099c6d032400763c2a55","first_computed_at":"2026-05-18T03:42:56.466864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:56.466864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mrw3TU3M+Ec8QFGHey5WUscvhisEhjXIQ/DwAQaO65wdLoYmjVA4H4JRg2admehY8fC8vQ/bqk3FigMtz/BeDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:56.467681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.4675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6624d35cf55cff9213527faf88663bfc0bf884db194730a8d6b97405d553139","sha256:83b031a3103c9fb632dd22166d50cb726b6e904f592082226d3ee5044bde23b5"],"state_sha256":"077f3af27f1a8146e02afc0a39dcfc4c664b5fc80a2283afc838d63801bb79ae"}