{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:W7COXVHDQ7A5DZI7H7N2VOCMTB","short_pith_number":"pith:W7COXVHD","schema_version":"1.0","canonical_sha256":"b7c4ebd4e387c1d1e51f3fdbaab84c987d7790776d130fef6fc933063f2b68ea","source":{"kind":"arxiv","id":"1306.4648","version":2},"attestation_state":"computed","paper":{"title":"Simplicity of partial skew group rings and maximal commutativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.OA","authors_text":"Daniel Gon\\c{c}alves, Danilo Royer, Johan \\\"Oinert","submitted_at":"2013-06-19T19:19:56Z","abstract_excerpt":"Let R0 be a commutative associative ring (not necessarily unital), G a group and alpha a partial action by ideals that contain local units. We show that R0 is maximal commutative in the partial skew group ring R0*G if and only if R0 has the ideal intersection property in R0*G. From this we derive a criterion for simplicity of R0*G in terms of maximal commutativity and $G-$simplicity of R0 and apply this to two examples, namely to partial actions by clopen subsets of a compact set and to give a new proof of the simplicity criterion for Leavitt path algebras. A new proof of the Cuntz-Krieger uni"},"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":"1306.4648","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-06-19T19:19:56Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"67f8502b23ce37045f617224fff278aa9dc8aa62af2540d4ed52c72146f5c865","abstract_canon_sha256":"14efc5138db20a1ba047558bbb8920d18e6ee72401bbe2e5fb33e557b6485ad0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:42.047850Z","signature_b64":"Z3NAuz2XgACAOE3mEKISIGMNDABSCP+++/F2mq0Uak61DsUQI3ABTpP7xc/mtIh0fpyLO02LR+K4xlTlPnbdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7c4ebd4e387c1d1e51f3fdbaab84c987d7790776d130fef6fc933063f2b68ea","last_reissued_at":"2026-05-18T03:18:42.047158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:42.047158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simplicity of partial skew group rings and maximal commutativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.OA","authors_text":"Daniel Gon\\c{c}alves, Danilo Royer, Johan \\\"Oinert","submitted_at":"2013-06-19T19:19:56Z","abstract_excerpt":"Let R0 be a commutative associative ring (not necessarily unital), G a group and alpha a partial action by ideals that contain local units. We show that R0 is maximal commutative in the partial skew group ring R0*G if and only if R0 has the ideal intersection property in R0*G. From this we derive a criterion for simplicity of R0*G in terms of maximal commutativity and $G-$simplicity of R0 and apply this to two examples, namely to partial actions by clopen subsets of a compact set and to give a new proof of the simplicity criterion for Leavitt path algebras. A new proof of the Cuntz-Krieger uni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4648","kind":"arxiv","version":2},"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":"1306.4648","created_at":"2026-05-18T03:18:42.047262+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.4648v2","created_at":"2026-05-18T03:18:42.047262+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4648","created_at":"2026-05-18T03:18:42.047262+00:00"},{"alias_kind":"pith_short_12","alias_value":"W7COXVHDQ7A5","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"W7COXVHDQ7A5DZI7","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"W7COXVHD","created_at":"2026-05-18T12:28:04.890932+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/W7COXVHDQ7A5DZI7H7N2VOCMTB","json":"https://pith.science/pith/W7COXVHDQ7A5DZI7H7N2VOCMTB.json","graph_json":"https://pith.science/api/pith-number/W7COXVHDQ7A5DZI7H7N2VOCMTB/graph.json","events_json":"https://pith.science/api/pith-number/W7COXVHDQ7A5DZI7H7N2VOCMTB/events.json","paper":"https://pith.science/paper/W7COXVHD"},"agent_actions":{"view_html":"https://pith.science/pith/W7COXVHDQ7A5DZI7H7N2VOCMTB","download_json":"https://pith.science/pith/W7COXVHDQ7A5DZI7H7N2VOCMTB.json","view_paper":"https://pith.science/paper/W7COXVHD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.4648&json=true","fetch_graph":"https://pith.science/api/pith-number/W7COXVHDQ7A5DZI7H7N2VOCMTB/graph.json","fetch_events":"https://pith.science/api/pith-number/W7COXVHDQ7A5DZI7H7N2VOCMTB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W7COXVHDQ7A5DZI7H7N2VOCMTB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W7COXVHDQ7A5DZI7H7N2VOCMTB/action/storage_attestation","attest_author":"https://pith.science/pith/W7COXVHDQ7A5DZI7H7N2VOCMTB/action/author_attestation","sign_citation":"https://pith.science/pith/W7COXVHDQ7A5DZI7H7N2VOCMTB/action/citation_signature","submit_replication":"https://pith.science/pith/W7COXVHDQ7A5DZI7H7N2VOCMTB/action/replication_record"}},"created_at":"2026-05-18T03:18:42.047262+00:00","updated_at":"2026-05-18T03:18:42.047262+00:00"}