{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3DZKTSVGKRC5MIFUK7EMP5ZMQH","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":"6591a26ced90a4178d705493ebbb477aefe943484d4f2a93ce2873b2fdd91f79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-02-10T22:36:35Z","title_canon_sha256":"5cc2dc77e5e82f9876ec1c4723124e0fced6ee780a3455efb13a6b133f849197"},"schema_version":"1.0","source":{"id":"1402.2321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2321","created_at":"2026-05-18T02:59:31Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2321v1","created_at":"2026-05-18T02:59:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2321","created_at":"2026-05-18T02:59:31Z"},{"alias_kind":"pith_short_12","alias_value":"3DZKTSVGKRC5","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3DZKTSVGKRC5MIFU","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3DZKTSVG","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:0fb8cfa3bd2a3dec97afe40caed66d5e95c653656b0d99dc10ceaeb238851d8f","target":"graph","created_at":"2026-05-18T02:59:31Z","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":"In this paper we describe the prime ideals of some important classes of skew PBW extensions, using the classical technique of extending and contracting ideals. Skew PBW extensions include as particular examples Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials, diffusion algebras, Manin algebra of quantum matrices, among many others.","authors_text":"Juan Pablo Acosta, Milton Armando Reyes Villamil, Oswaldo Lezama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-02-10T22:36:35Z","title":"Prime ideals of skew PBW extensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2321","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:cfac01cd898a7be67dfb2e5fb5ad69adbf7e506ac1877403e234c297e5dcfd04","target":"record","created_at":"2026-05-18T02:59:31Z","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":"6591a26ced90a4178d705493ebbb477aefe943484d4f2a93ce2873b2fdd91f79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-02-10T22:36:35Z","title_canon_sha256":"5cc2dc77e5e82f9876ec1c4723124e0fced6ee780a3455efb13a6b133f849197"},"schema_version":"1.0","source":{"id":"1402.2321","kind":"arxiv","version":1}},"canonical_sha256":"d8f2a9caa65445d620b457c8c7f72c81d0252854104faa2dde10b1e9add0bbb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8f2a9caa65445d620b457c8c7f72c81d0252854104faa2dde10b1e9add0bbb4","first_computed_at":"2026-05-18T02:59:31.133241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:31.133241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CCub517YyhXSzgVoDsF+d/t/xIAzJtbH/VGh0Q/AtBMGsuPkVUrMksS5hAPz+otcK88j93nk5G5FshzM1BY5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:31.134167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfac01cd898a7be67dfb2e5fb5ad69adbf7e506ac1877403e234c297e5dcfd04","sha256:0fb8cfa3bd2a3dec97afe40caed66d5e95c653656b0d99dc10ceaeb238851d8f"],"state_sha256":"4ef13ed262b11aaf33031644aa95a8012bb1c667da41ed1ada49d26d8f271ac3"}