{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PS3GOL5WSGSZIVCHEOV4Y7V4BO","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":"edd0c17488198d7ee0f0fd6d2e523d8b61eb64bf0269718dd09836e87b3d9950","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-08-17T22:35:57Z","title_canon_sha256":"9a492ec343dbb7645e0fc8d0b0a572381d27c641254537a9fa553a97700e96b6"},"schema_version":"1.0","source":{"id":"1908.06343","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.06343","created_at":"2026-07-04T23:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"1908.06343v1","created_at":"2026-07-04T23:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06343","created_at":"2026-07-04T23:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"PS3GOL5WSGSZ","created_at":"2026-07-04T23:58:14Z"},{"alias_kind":"pith_short_16","alias_value":"PS3GOL5WSGSZIVCH","created_at":"2026-07-04T23:58:14Z"},{"alias_kind":"pith_short_8","alias_value":"PS3GOL5W","created_at":"2026-07-04T23:58:14Z"}],"graph_snapshots":[{"event_id":"sha256:392c5be53eca1760f967dfdfc444db49c4cf9bd162831e479ee10c4b69afc6a6","target":"graph","created_at":"2026-07-04T23:58:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.06343/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let G be a finite group, let A be an infinite-dimensional stably finite simple unital C*-algebra, and let \\alpha \\colon G \\to Aut (A) be an action of G on A which has the weak tracial Rokhlin property. Let A^{\\alpha} be the fixed point algebra. Then the radius of comparison satisfies rc (A^{\\alpha}) \\leq rc (A) and rc ( C* (G, A, \\alpha) ) \\leq ( 1 / card (G) ) rc (A). The inclusion of A^{\\alpha} in A induces an isomorphism from the purely positive part of the Cuntz semigroup Cu (A^{\\alpha}) to the fixed points of the purely positive part of Cu (A), and the purely positive part of Cu ( C* (G, ","authors_text":"M. Ali Asadi-Vasfi, Nasser Golestani, N. Christopher Phillips","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-08-17T22:35:57Z","title":"The Cuntz semigroup and the radius of comparison of the crossed product by a finite group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06343","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:cf9a33d24a36969ebf7b1cc382a0cdcc00fe6852e8f532fb395b87c481d67750","target":"record","created_at":"2026-07-04T23:58:14Z","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":"edd0c17488198d7ee0f0fd6d2e523d8b61eb64bf0269718dd09836e87b3d9950","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-08-17T22:35:57Z","title_canon_sha256":"9a492ec343dbb7645e0fc8d0b0a572381d27c641254537a9fa553a97700e96b6"},"schema_version":"1.0","source":{"id":"1908.06343","kind":"arxiv","version":1}},"canonical_sha256":"7cb6672fb691a594544723abcc7ebc0bbe4d4bde3dccec94b5d2d95085d3a9f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cb6672fb691a594544723abcc7ebc0bbe4d4bde3dccec94b5d2d95085d3a9f4","first_computed_at":"2026-07-04T23:58:14.822575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:58:14.822575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IVjxRTweu/LRQDuR0fg6QsUzvdZVbRRMhnsOQxhuKEenYYajCpIg23fxGVHGgCj3OzIzuAYJJJAZcHYx5CIqBA==","signature_status":"signed_v1","signed_at":"2026-07-04T23:58:14.822916Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.06343","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf9a33d24a36969ebf7b1cc382a0cdcc00fe6852e8f532fb395b87c481d67750","sha256:392c5be53eca1760f967dfdfc444db49c4cf9bd162831e479ee10c4b69afc6a6"],"state_sha256":"e3baf080722d19e99eec7c2e562eb921950de8d6f49f24773b1e6e0b961c556f"}