{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SWWZWK2SWERV2ZIEDCAZCDJYAQ","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":"6dfb3209b549aea041c714c3f03376fcda8dc5bff7f2aabde0ce9b51763837ff","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-04-14T01:53:32Z","title_canon_sha256":"d1b2568825edf0ae00fe6b2807106e6135466a4d5de3727abe6db11ba9f6a7fe"},"schema_version":"1.0","source":{"id":"1204.3127","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3127","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3127v2","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3127","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"SWWZWK2SWERV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"SWWZWK2SWERV2ZIE","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"SWWZWK2S","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:15d49a220ee56bc179d1a8060f75498aa80110cd789df1d291aeccede4991270","target":"graph","created_at":"2026-05-18T03:10:58Z","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":"We prove that the C*-algebra of a second-countable, \\'etale, amenable groupoid is simple if and only if the groupoid is topologically principal and minimal. We also show that if G has totally disconnected unit space, then the associated complex *-algebra introduced by Steinberg is simple if and only if the interior of the isotropy subgroupoid of G is equal to the unit space and G is minimal.","authors_text":"Aidan Sims, Cynthia Farthing, Jonathan H. Brown, Lisa Orloff Clark","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-04-14T01:53:32Z","title":"Simplicity of algebras associated to \\'etale groupoids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3127","kind":"arxiv","version":2},"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":"sha256:0476682714f324189114767a925a955e2ccdae489c21a4f699171238d2e3899b","target":"record","created_at":"2026-05-18T03:10:58Z","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":"6dfb3209b549aea041c714c3f03376fcda8dc5bff7f2aabde0ce9b51763837ff","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-04-14T01:53:32Z","title_canon_sha256":"d1b2568825edf0ae00fe6b2807106e6135466a4d5de3727abe6db11ba9f6a7fe"},"schema_version":"1.0","source":{"id":"1204.3127","kind":"arxiv","version":2}},"canonical_sha256":"95ad9b2b52b1235d65041881910d380434c78030fe6ee4575715925951bd4b59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95ad9b2b52b1235d65041881910d380434c78030fe6ee4575715925951bd4b59","first_computed_at":"2026-05-18T03:10:58.467855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:58.467855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Klwy3Kip3gL38QTG8QE1kyUUqaGL1IoW0AOWLBu29TXTikgqEqqukcKqV5OH7VEt3AFtNBT9iqRZKkFPQiIUDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:58.468637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3127","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0476682714f324189114767a925a955e2ccdae489c21a4f699171238d2e3899b","sha256:15d49a220ee56bc179d1a8060f75498aa80110cd789df1d291aeccede4991270"],"state_sha256":"25e446d46e2cea38d702672e768dc072b196d9022b9219551b30df9a9f87039c"}