{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:GL45WZGLCMSMOSVNXSHE4F4LQX","short_pith_number":"pith:GL45WZGL","canonical_record":{"source":{"id":"1703.10999","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-03-31T17:45:25Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"991cc071f27b978595642f4bc51b560046abc99666b4ff7fa569c86ae2d1f243","abstract_canon_sha256":"1b1f90cc356dce216a4a7c4813ca2113d6ce086bdbf041643f6bd3f3e4aeadf6"},"schema_version":"1.0"},"canonical_sha256":"32f9db64cb1324c74aadbc8e4e178b85fe2a6e5254c5aafbc522dafb6ce4804d","source":{"kind":"arxiv","id":"1703.10999","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10999","created_at":"2026-05-18T00:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10999v2","created_at":"2026-05-18T00:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10999","created_at":"2026-05-18T00:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"GL45WZGLCMSM","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GL45WZGLCMSMOSVN","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GL45WZGL","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:GL45WZGLCMSMOSVNXSHE4F4LQX","target":"record","payload":{"canonical_record":{"source":{"id":"1703.10999","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-03-31T17:45:25Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"991cc071f27b978595642f4bc51b560046abc99666b4ff7fa569c86ae2d1f243","abstract_canon_sha256":"1b1f90cc356dce216a4a7c4813ca2113d6ce086bdbf041643f6bd3f3e4aeadf6"},"schema_version":"1.0"},"canonical_sha256":"32f9db64cb1324c74aadbc8e4e178b85fe2a6e5254c5aafbc522dafb6ce4804d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:06.270144Z","signature_b64":"lGlk6m/JHjb7ysf35TjLPvo+a8OMmKhBGkiMl0w/kIDE3kYEfHXTERm/YgGMdNlQYbSIFymgpdHgNVtVvqHSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32f9db64cb1324c74aadbc8e4e178b85fe2a6e5254c5aafbc522dafb6ce4804d","last_reissued_at":"2026-05-18T00:22:06.269632Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:06.269632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.10999","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":"2026-05-18T00:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C1CytIfAEYPmACuOTnYu6xv1BNZRSg8rjmtgsru10Yjbu45b37XpT3IT1rUPoJ6MNoi8g3Yapwiuz0uJGInNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:36:08.740630Z"},"content_sha256":"e18460ca64f717d65a176f29e8b0caa7b3c5dee7d8601539328732ca98e2b12e","schema_version":"1.0","event_id":"sha256:e18460ca64f717d65a176f29e8b0caa7b3c5dee7d8601539328732ca98e2b12e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:GL45WZGLCMSMOSVNXSHE4F4LQX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rokhlin dimension for compact quantum group actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.OA","authors_text":"Eusebio Gardella, Martino Lupini, Mehrdad Kalantar","submitted_at":"2017-03-31T17:45:25Z","abstract_excerpt":"We show that, for a given compact or discrete quantum group $G$, the class of actions of $G$ on C*-algebras is first-order axiomatizable in the logic for metric structures. As an application, we extend the notion of Rokhlin property for $G$-C*-algebra, introduced by Barlak, Szab\\'{o}, and Voigt in the case when $G$ is second countable and coexact, to an arbitrary compact quantum group $G$. All the the preservations and rigidity results for Rokhlin actions of second countable coexact compact quantum groups obtained by Barlak, Szab\\'{o}, and Voigt are shown to hold in this general context. As a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10999","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":"2026-05-18T00:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j65Xvxmc/FygVt7PB+oVCGfuYabLDF6voR60pDKQrOwsvSsfik/UqJLJpiUUED3tOw/vFU4GLc9IwgBhdWYtDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:36:08.741151Z"},"content_sha256":"0a95a7597fd271e1c345ccf7742a968a6a0c1aa9ea6b2c231b7829f6b827231d","schema_version":"1.0","event_id":"sha256:0a95a7597fd271e1c345ccf7742a968a6a0c1aa9ea6b2c231b7829f6b827231d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GL45WZGLCMSMOSVNXSHE4F4LQX/bundle.json","state_url":"https://pith.science/pith/GL45WZGLCMSMOSVNXSHE4F4LQX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GL45WZGLCMSMOSVNXSHE4F4LQX/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":"2026-05-26T21:36:08Z","links":{"resolver":"https://pith.science/pith/GL45WZGLCMSMOSVNXSHE4F4LQX","bundle":"https://pith.science/pith/GL45WZGLCMSMOSVNXSHE4F4LQX/bundle.json","state":"https://pith.science/pith/GL45WZGLCMSMOSVNXSHE4F4LQX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GL45WZGLCMSMOSVNXSHE4F4LQX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GL45WZGLCMSMOSVNXSHE4F4LQX","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":"1b1f90cc356dce216a4a7c4813ca2113d6ce086bdbf041643f6bd3f3e4aeadf6","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-03-31T17:45:25Z","title_canon_sha256":"991cc071f27b978595642f4bc51b560046abc99666b4ff7fa569c86ae2d1f243"},"schema_version":"1.0","source":{"id":"1703.10999","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10999","created_at":"2026-05-18T00:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10999v2","created_at":"2026-05-18T00:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10999","created_at":"2026-05-18T00:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"GL45WZGLCMSM","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GL45WZGLCMSMOSVN","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GL45WZGL","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:0a95a7597fd271e1c345ccf7742a968a6a0c1aa9ea6b2c231b7829f6b827231d","target":"graph","created_at":"2026-05-18T00:22:06Z","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 show that, for a given compact or discrete quantum group $G$, the class of actions of $G$ on C*-algebras is first-order axiomatizable in the logic for metric structures. As an application, we extend the notion of Rokhlin property for $G$-C*-algebra, introduced by Barlak, Szab\\'{o}, and Voigt in the case when $G$ is second countable and coexact, to an arbitrary compact quantum group $G$. All the the preservations and rigidity results for Rokhlin actions of second countable coexact compact quantum groups obtained by Barlak, Szab\\'{o}, and Voigt are shown to hold in this general context. As a ","authors_text":"Eusebio Gardella, Martino Lupini, Mehrdad Kalantar","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-03-31T17:45:25Z","title":"Rokhlin dimension for compact quantum group actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10999","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:e18460ca64f717d65a176f29e8b0caa7b3c5dee7d8601539328732ca98e2b12e","target":"record","created_at":"2026-05-18T00:22:06Z","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":"1b1f90cc356dce216a4a7c4813ca2113d6ce086bdbf041643f6bd3f3e4aeadf6","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-03-31T17:45:25Z","title_canon_sha256":"991cc071f27b978595642f4bc51b560046abc99666b4ff7fa569c86ae2d1f243"},"schema_version":"1.0","source":{"id":"1703.10999","kind":"arxiv","version":2}},"canonical_sha256":"32f9db64cb1324c74aadbc8e4e178b85fe2a6e5254c5aafbc522dafb6ce4804d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32f9db64cb1324c74aadbc8e4e178b85fe2a6e5254c5aafbc522dafb6ce4804d","first_computed_at":"2026-05-18T00:22:06.269632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:06.269632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lGlk6m/JHjb7ysf35TjLPvo+a8OMmKhBGkiMl0w/kIDE3kYEfHXTERm/YgGMdNlQYbSIFymgpdHgNVtVvqHSCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:06.270144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10999","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e18460ca64f717d65a176f29e8b0caa7b3c5dee7d8601539328732ca98e2b12e","sha256:0a95a7597fd271e1c345ccf7742a968a6a0c1aa9ea6b2c231b7829f6b827231d"],"state_sha256":"71d2336180aafc05d3455c5ed84a71116868d45c47bf4486bce814d2a08c3e8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UjtZsXNzz93O19Xdvxgn54KKFYLgprLB2KKUbcyYfX8QzaGszTDV72HvRhVnh27WvIQfEFebOr9VXfRihXs6Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:36:08.744227Z","bundle_sha256":"b2cbd81eea5ecc8c7d398236341da954cbf82c0b506021f7632e281bc34b9bd9"}}