{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:37ZX5EVBFRG526CM2W7J2VFZ7B","short_pith_number":"pith:37ZX5EVB","schema_version":"1.0","canonical_sha256":"dff37e92a12c4ddd784cd5be9d54b9f85aba9b8e4e2f30b0025f5ae2a04e9095","source":{"kind":"arxiv","id":"1110.6923","version":1},"attestation_state":"computed","paper":{"title":"Simple Cuntz-Pimsner rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.RA","authors_text":"Eduard Ortega, Enrique Pardo, Toke Meier Carlsen","submitted_at":"2011-10-31T19:54:14Z","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."},"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":"1110.6923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-10-31T19:54:14Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"4b5d3040ba5cd79ed9c07bf3cf55260368e681274a1772a5b31ff80196b51320","abstract_canon_sha256":"535364c00deb5d224ac2fb50c52de8cb12eeafd595f3b0a82d37e21dbe15f784"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:45.975242Z","signature_b64":"UT1G+HkU9hZNsTk5YE630uttw30OzRtDpf3rI/fO0BvcQsOT+sl7axFiFAi/KRT55+bqBtUVTm5TD98LIHBsAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dff37e92a12c4ddd784cd5be9d54b9f85aba9b8e4e2f30b0025f5ae2a04e9095","last_reissued_at":"2026-05-18T02:40:45.974791Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:45.974791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple Cuntz-Pimsner rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.RA","authors_text":"Eduard Ortega, Enrique Pardo, Toke Meier Carlsen","submitted_at":"2011-10-31T19:54:14Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6923","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":"1110.6923","created_at":"2026-05-18T02:40:45.974856+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.6923v1","created_at":"2026-05-18T02:40:45.974856+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6923","created_at":"2026-05-18T02:40:45.974856+00:00"},{"alias_kind":"pith_short_12","alias_value":"37ZX5EVBFRG5","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"37ZX5EVBFRG526CM","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"37ZX5EVB","created_at":"2026-05-18T12:26:18.847500+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/37ZX5EVBFRG526CM2W7J2VFZ7B","json":"https://pith.science/pith/37ZX5EVBFRG526CM2W7J2VFZ7B.json","graph_json":"https://pith.science/api/pith-number/37ZX5EVBFRG526CM2W7J2VFZ7B/graph.json","events_json":"https://pith.science/api/pith-number/37ZX5EVBFRG526CM2W7J2VFZ7B/events.json","paper":"https://pith.science/paper/37ZX5EVB"},"agent_actions":{"view_html":"https://pith.science/pith/37ZX5EVBFRG526CM2W7J2VFZ7B","download_json":"https://pith.science/pith/37ZX5EVBFRG526CM2W7J2VFZ7B.json","view_paper":"https://pith.science/paper/37ZX5EVB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.6923&json=true","fetch_graph":"https://pith.science/api/pith-number/37ZX5EVBFRG526CM2W7J2VFZ7B/graph.json","fetch_events":"https://pith.science/api/pith-number/37ZX5EVBFRG526CM2W7J2VFZ7B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/37ZX5EVBFRG526CM2W7J2VFZ7B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/37ZX5EVBFRG526CM2W7J2VFZ7B/action/storage_attestation","attest_author":"https://pith.science/pith/37ZX5EVBFRG526CM2W7J2VFZ7B/action/author_attestation","sign_citation":"https://pith.science/pith/37ZX5EVBFRG526CM2W7J2VFZ7B/action/citation_signature","submit_replication":"https://pith.science/pith/37ZX5EVBFRG526CM2W7J2VFZ7B/action/replication_record"}},"created_at":"2026-05-18T02:40:45.974856+00:00","updated_at":"2026-05-18T02:40:45.974856+00:00"}