{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6ACFT3KO66OAMVI5I7QOU3HCTI","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":"164d73c6f622827387d3e21b900dd4cb5d3655c5667fc04506deb31e57408ceb","cross_cats_sorted":["math-ph","math.FA","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.OA","submitted_at":"2017-01-20T18:58:31Z","title_canon_sha256":"433049f74a0399a5f45a2f69954a04004655a30b8dfbaca3f5195ba09ec4d609"},"schema_version":"1.0","source":{"id":"1701.05895","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05895","created_at":"2026-05-18T00:38:21Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05895v3","created_at":"2026-05-18T00:38:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05895","created_at":"2026-05-18T00:38:21Z"},{"alias_kind":"pith_short_12","alias_value":"6ACFT3KO66OA","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6ACFT3KO66OAMVI5","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6ACFT3KO","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:bbb625aad34867a44641e86117fa8c98f470faf12e1685aaaa14c7768f43ee3f","target":"graph","created_at":"2026-05-18T00:38:21Z","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 study and classify free actions of compact quantum groups on unital C*-algebras in terms of generalized factor systems. Moreover, we use these factor systems to show that all finite coverings of irrational rotation C*-algebras are cleft.","authors_text":"Kay Schwieger, Stefan Wagner","cross_cats":["math-ph","math.FA","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.OA","submitted_at":"2017-01-20T18:58:31Z","title":"Part III, Free Actions of Compact Quantum Groups on C*-Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05895","kind":"arxiv","version":3},"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:f8edb9440242a0d9a3f65f7d4c02bc572183fa0f2092043102283821c38144b2","target":"record","created_at":"2026-05-18T00:38:21Z","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":"164d73c6f622827387d3e21b900dd4cb5d3655c5667fc04506deb31e57408ceb","cross_cats_sorted":["math-ph","math.FA","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.OA","submitted_at":"2017-01-20T18:58:31Z","title_canon_sha256":"433049f74a0399a5f45a2f69954a04004655a30b8dfbaca3f5195ba09ec4d609"},"schema_version":"1.0","source":{"id":"1701.05895","kind":"arxiv","version":3}},"canonical_sha256":"f00459ed4ef79c06551d47e0ea6ce29a0b48e1241f0e157d2a5df7cdf0290624","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f00459ed4ef79c06551d47e0ea6ce29a0b48e1241f0e157d2a5df7cdf0290624","first_computed_at":"2026-05-18T00:38:20.999941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:20.999941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XInPYatKAJiLQtg6W1e1Buh2FxWtM/dkpEY/zcR9BqcI/CmKEoCB1jEIwcEiUdig6FofWfOHxhR2mmCQdVcRAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:21.000640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05895","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8edb9440242a0d9a3f65f7d4c02bc572183fa0f2092043102283821c38144b2","sha256:bbb625aad34867a44641e86117fa8c98f470faf12e1685aaaa14c7768f43ee3f"],"state_sha256":"690452f63c1b0ab0eab9c8b6b38581bc84886c32cf6819bdbc6b2d63a45129b0"}