{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YLYZFZ34P5H463PYYUJBHMRSUD","short_pith_number":"pith:YLYZFZ34","schema_version":"1.0","canonical_sha256":"c2f192e77c7f4fcf6df8c51213b232a0ea26a5b237d6b7abc0e2cd66f1accedf","source":{"kind":"arxiv","id":"1402.3205","version":3},"attestation_state":"computed","paper":{"title":"Outer partial actions and partial skew group rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.RA","authors_text":"Johan \\\"Oinert, Patrik Nystedt","submitted_at":"2014-02-13T16:34:29Z","abstract_excerpt":"We extend the classicial notion of an outer action $\\alpha$ of a group $G$ on a unital ring $A$ to the case when $\\alpha$ is a partial action on ideals, all of which have local units. We show that if $\\alpha$ is an outer partial action of an abelian group $G$, then its associated partial skew group ring $A \\star_\\alpha G$ is simple if and only if $A$ is $G$-simple. This result is applied to partial skew group rings associated with two different types of partial dynamical systems."},"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":"1402.3205","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-02-13T16:34:29Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"99346f6578621b7e49528cb8e5377436a0a67bfd49d86eec6850b3ffb6b9fdc7","abstract_canon_sha256":"709eeefc172ac11d74a3d306409ecaff95d92ba853cd0830a3ea2c8763625cd0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:56:26.227235Z","signature_b64":"97s0X9X2L7KyoxWTnwy1COVnN84WFzT0SRyAX3CFn/pXUtHqpw5cvdQcFOfPlTWqNDvLm2vPJYfXJGDl/bUSAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2f192e77c7f4fcf6df8c51213b232a0ea26a5b237d6b7abc0e2cd66f1accedf","last_reissued_at":"2026-07-04T23:56:26.226746Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:56:26.226746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Outer partial actions and partial skew group rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.RA","authors_text":"Johan \\\"Oinert, Patrik Nystedt","submitted_at":"2014-02-13T16:34:29Z","abstract_excerpt":"We extend the classicial notion of an outer action $\\alpha$ of a group $G$ on a unital ring $A$ to the case when $\\alpha$ is a partial action on ideals, all of which have local units. We show that if $\\alpha$ is an outer partial action of an abelian group $G$, then its associated partial skew group ring $A \\star_\\alpha G$ is simple if and only if $A$ is $G$-simple. This result is applied to partial skew group rings associated with two different types of partial dynamical systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3205","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1402.3205/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1402.3205","created_at":"2026-07-04T23:56:26.226805+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.3205v3","created_at":"2026-07-04T23:56:26.226805+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3205","created_at":"2026-07-04T23:56:26.226805+00:00"},{"alias_kind":"pith_short_12","alias_value":"YLYZFZ34P5H4","created_at":"2026-07-04T23:56:26.226805+00:00"},{"alias_kind":"pith_short_16","alias_value":"YLYZFZ34P5H463PY","created_at":"2026-07-04T23:56:26.226805+00:00"},{"alias_kind":"pith_short_8","alias_value":"YLYZFZ34","created_at":"2026-07-04T23:56:26.226805+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/YLYZFZ34P5H463PYYUJBHMRSUD","json":"https://pith.science/pith/YLYZFZ34P5H463PYYUJBHMRSUD.json","graph_json":"https://pith.science/api/pith-number/YLYZFZ34P5H463PYYUJBHMRSUD/graph.json","events_json":"https://pith.science/api/pith-number/YLYZFZ34P5H463PYYUJBHMRSUD/events.json","paper":"https://pith.science/paper/YLYZFZ34"},"agent_actions":{"view_html":"https://pith.science/pith/YLYZFZ34P5H463PYYUJBHMRSUD","download_json":"https://pith.science/pith/YLYZFZ34P5H463PYYUJBHMRSUD.json","view_paper":"https://pith.science/paper/YLYZFZ34","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.3205&json=true","fetch_graph":"https://pith.science/api/pith-number/YLYZFZ34P5H463PYYUJBHMRSUD/graph.json","fetch_events":"https://pith.science/api/pith-number/YLYZFZ34P5H463PYYUJBHMRSUD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YLYZFZ34P5H463PYYUJBHMRSUD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YLYZFZ34P5H463PYYUJBHMRSUD/action/storage_attestation","attest_author":"https://pith.science/pith/YLYZFZ34P5H463PYYUJBHMRSUD/action/author_attestation","sign_citation":"https://pith.science/pith/YLYZFZ34P5H463PYYUJBHMRSUD/action/citation_signature","submit_replication":"https://pith.science/pith/YLYZFZ34P5H463PYYUJBHMRSUD/action/replication_record"}},"created_at":"2026-07-04T23:56:26.226805+00:00","updated_at":"2026-07-04T23:56:26.226805+00:00"}