{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:37ZX5EVBFRG526CM2W7J2VFZ7B","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":"535364c00deb5d224ac2fb50c52de8cb12eeafd595f3b0a82d37e21dbe15f784","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-10-31T19:54:14Z","title_canon_sha256":"4b5d3040ba5cd79ed9c07bf3cf55260368e681274a1772a5b31ff80196b51320"},"schema_version":"1.0","source":{"id":"1110.6923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6923","created_at":"2026-05-18T02:40:45Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6923v1","created_at":"2026-05-18T02:40:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6923","created_at":"2026-05-18T02:40:45Z"},{"alias_kind":"pith_short_12","alias_value":"37ZX5EVBFRG5","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"37ZX5EVBFRG526CM","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"37ZX5EVB","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:984463ed9cb150f4fef797a7172c4d46f0f7d1552a83d5e98d72603209b218cd","target":"graph","created_at":"2026-05-18T02:40:45Z","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":"Necessary and sufficient conditions for when every non-zero ideal in a relative Cuntz-Pimsner ring contains a non-zero graded ideal, when a relative Cuntz-Pimsner ring is simple, and when every ideal in a relative Cuntz-Pimsner ring is graded, are given. A \"Cuntz-Krieger uniqueness theorem\" for relative Cuntz-Pimsner rings is also given and condition (L) and condition (K) for relative Cuntz-Pimsner rings are introduced.","authors_text":"Eduard Ortega, Enrique Pardo, Toke Meier Carlsen","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-10-31T19:54:14Z","title":"Simple Cuntz-Pimsner rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6923","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":"sha256:81e737e5a9d7f1ab32571eb329f89bd4c8c486cccf9aa6f9fe0360b668e8e6af","target":"record","created_at":"2026-05-18T02:40:45Z","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":"535364c00deb5d224ac2fb50c52de8cb12eeafd595f3b0a82d37e21dbe15f784","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-10-31T19:54:14Z","title_canon_sha256":"4b5d3040ba5cd79ed9c07bf3cf55260368e681274a1772a5b31ff80196b51320"},"schema_version":"1.0","source":{"id":"1110.6923","kind":"arxiv","version":1}},"canonical_sha256":"dff37e92a12c4ddd784cd5be9d54b9f85aba9b8e4e2f30b0025f5ae2a04e9095","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dff37e92a12c4ddd784cd5be9d54b9f85aba9b8e4e2f30b0025f5ae2a04e9095","first_computed_at":"2026-05-18T02:40:45.974791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:45.974791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UT1G+HkU9hZNsTk5YE630uttw30OzRtDpf3rI/fO0BvcQsOT+sl7axFiFAi/KRT55+bqBtUVTm5TD98LIHBsAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:45.975242Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81e737e5a9d7f1ab32571eb329f89bd4c8c486cccf9aa6f9fe0360b668e8e6af","sha256:984463ed9cb150f4fef797a7172c4d46f0f7d1552a83d5e98d72603209b218cd"],"state_sha256":"d22362c39addfdf90610c311a69446f6c860d0742ab02d0623543c190571429b"}