{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SWWZWK2SWERV2ZIEDCAZCDJYAQ","short_pith_number":"pith:SWWZWK2S","canonical_record":{"source":{"id":"1204.3127","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-04-14T01:53:32Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"d1b2568825edf0ae00fe6b2807106e6135466a4d5de3727abe6db11ba9f6a7fe","abstract_canon_sha256":"6dfb3209b549aea041c714c3f03376fcda8dc5bff7f2aabde0ce9b51763837ff"},"schema_version":"1.0"},"canonical_sha256":"95ad9b2b52b1235d65041881910d380434c78030fe6ee4575715925951bd4b59","source":{"kind":"arxiv","id":"1204.3127","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SWWZWK2SWERV2ZIEDCAZCDJYAQ","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3127","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-04-14T01:53:32Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"d1b2568825edf0ae00fe6b2807106e6135466a4d5de3727abe6db11ba9f6a7fe","abstract_canon_sha256":"6dfb3209b549aea041c714c3f03376fcda8dc5bff7f2aabde0ce9b51763837ff"},"schema_version":"1.0"},"canonical_sha256":"95ad9b2b52b1235d65041881910d380434c78030fe6ee4575715925951bd4b59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:58.468637Z","signature_b64":"Klwy3Kip3gL38QTG8QE1kyUUqaGL1IoW0AOWLBu29TXTikgqEqqukcKqV5OH7VEt3AFtNBT9iqRZKkFPQiIUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95ad9b2b52b1235d65041881910d380434c78030fe6ee4575715925951bd4b59","last_reissued_at":"2026-05-18T03:10:58.467855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:58.467855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3127","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b0CZvKRDe2Y27birKRcGfcF0j8CEpdelUA/MaFeRP5hOS71izBanOY7bDxPyRh2TWWBuIl7RX1LYfWqF+4f1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:31:15.385084Z"},"content_sha256":"0476682714f324189114767a925a955e2ccdae489c21a4f699171238d2e3899b","schema_version":"1.0","event_id":"sha256:0476682714f324189114767a925a955e2ccdae489c21a4f699171238d2e3899b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SWWZWK2SWERV2ZIEDCAZCDJYAQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simplicity of algebras associated to \\'etale groupoids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.OA","authors_text":"Aidan Sims, Cynthia Farthing, Jonathan H. Brown, Lisa Orloff Clark","submitted_at":"2012-04-14T01:53:32Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3127","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lLLFMuOPPZitZoZNN8YSC55w77D4u6XUWkXqIJ3BeoweQpN840eNxyrn2YF9VGvpYOV/YxNtAILq/Lv+ZGRuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:31:15.385749Z"},"content_sha256":"15d49a220ee56bc179d1a8060f75498aa80110cd789df1d291aeccede4991270","schema_version":"1.0","event_id":"sha256:15d49a220ee56bc179d1a8060f75498aa80110cd789df1d291aeccede4991270"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SWWZWK2SWERV2ZIEDCAZCDJYAQ/bundle.json","state_url":"https://pith.science/pith/SWWZWK2SWERV2ZIEDCAZCDJYAQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SWWZWK2SWERV2ZIEDCAZCDJYAQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T14:31:15Z","links":{"resolver":"https://pith.science/pith/SWWZWK2SWERV2ZIEDCAZCDJYAQ","bundle":"https://pith.science/pith/SWWZWK2SWERV2ZIEDCAZCDJYAQ/bundle.json","state":"https://pith.science/pith/SWWZWK2SWERV2ZIEDCAZCDJYAQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SWWZWK2SWERV2ZIEDCAZCDJYAQ/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SBBxBbqWG7VLvsqGPZfRP1qvg1bRAfj7977KxOc6g2PDdkErlhEqQ+uZDxWEE0pYbvMkF5JmQ+cNB9SWF+W2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:31:15.389384Z","bundle_sha256":"0ef2cc791018d49a658b96566a61c627876e42c48d56e2975df78b0416c70c1e"}}