{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WPSCQVTLPJYXNUDWZWHBJJRHLY","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":"d1c540d99dec01c80a0cbe66cbc7fbc6625ccd503255b8aa837111bb05cc9c74","cross_cats_sorted":["math.FA","math.OA"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DS","submitted_at":"2013-11-15T15:35:11Z","title_canon_sha256":"8d8397bb483c9a4e03ecf1d7e3017762f76ef9bca6e214133b8fd2e0010f3260"},"schema_version":"1.0","source":{"id":"1311.3880","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3880","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3880v2","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3880","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"pith_short_12","alias_value":"WPSCQVTLPJYX","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WPSCQVTLPJYXNUDW","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WPSCQVTL","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:9370b284b4b03a14324070aa6368de741afbc2a96a64877b4d882520da021fa6","target":"graph","created_at":"2026-05-18T02:48:46Z","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 define a bundle over a totally disconnected set such that each fiber is homeomorphic to a fractal blowup. We prove that there is a natural action of a Renault-Deaconu groupoid on our fractafold bundle and that the resulting action groupoid is a Renault-Deaconu groupoid itself. We also show that when the bundle is locally compact the associated $C^*$-algebra is primitive and has a densely defined lower-semicontinuous trace.","authors_text":"Alex Kumjian, Marius Ionescu","cross_cats":["math.FA","math.OA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DS","submitted_at":"2013-11-15T15:35:11Z","title":"Groupoid Actions on Fractafolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3880","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":"sha256:541ab4b74593754742e35c6d51bf033fd33eae2f005184385f510b2f3a123ac5","target":"record","created_at":"2026-05-18T02:48:46Z","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":"d1c540d99dec01c80a0cbe66cbc7fbc6625ccd503255b8aa837111bb05cc9c74","cross_cats_sorted":["math.FA","math.OA"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DS","submitted_at":"2013-11-15T15:35:11Z","title_canon_sha256":"8d8397bb483c9a4e03ecf1d7e3017762f76ef9bca6e214133b8fd2e0010f3260"},"schema_version":"1.0","source":{"id":"1311.3880","kind":"arxiv","version":2}},"canonical_sha256":"b3e428566b7a7176d076cd8e14a6275e2023b427b29a2ebeccaa8ed1baed767e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3e428566b7a7176d076cd8e14a6275e2023b427b29a2ebeccaa8ed1baed767e","first_computed_at":"2026-05-18T02:48:46.647911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:46.647911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M97DKJMLlve5H+Cw3JbBqdidqbb22NiyhDf1fwthC4/pvvJIwuzfwv6wbgMt1LXcaAm7xMlcw2/F4q1UtmRSBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:46.648674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3880","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:541ab4b74593754742e35c6d51bf033fd33eae2f005184385f510b2f3a123ac5","sha256:9370b284b4b03a14324070aa6368de741afbc2a96a64877b4d882520da021fa6"],"state_sha256":"913a54f3281fca22dd6e5cd7e4cdee0c9f9af03f630e08b3f7b023e9914f14a7"}