{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:AMQL5EC2EKCCEIDNPLGV3IHU4E","short_pith_number":"pith:AMQL5EC2","canonical_record":{"source":{"id":"1506.01448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-06-04T02:08:30Z","cross_cats_sorted":[],"title_canon_sha256":"6f8c8033519fc48ac29c1a8f5de301800404b9d58c79dd6543dcb63fcd9b1c0b","abstract_canon_sha256":"e38324c9fb7ada9712e1b70261d714a1babaf00db6dd3a888c1c251d16b63a19"},"schema_version":"1.0"},"canonical_sha256":"0320be905a228422206d7acd5da0f4e127bb8563c0d2b48f48d245cc575fd665","source":{"kind":"arxiv","id":"1506.01448","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01448","created_at":"2026-05-18T01:09:59Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01448v2","created_at":"2026-05-18T01:09:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01448","created_at":"2026-05-18T01:09:59Z"},{"alias_kind":"pith_short_12","alias_value":"AMQL5EC2EKCC","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AMQL5EC2EKCCEIDN","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AMQL5EC2","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:AMQL5EC2EKCCEIDNPLGV3IHU4E","target":"record","payload":{"canonical_record":{"source":{"id":"1506.01448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-06-04T02:08:30Z","cross_cats_sorted":[],"title_canon_sha256":"6f8c8033519fc48ac29c1a8f5de301800404b9d58c79dd6543dcb63fcd9b1c0b","abstract_canon_sha256":"e38324c9fb7ada9712e1b70261d714a1babaf00db6dd3a888c1c251d16b63a19"},"schema_version":"1.0"},"canonical_sha256":"0320be905a228422206d7acd5da0f4e127bb8563c0d2b48f48d245cc575fd665","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:59.763039Z","signature_b64":"VsCzm5JpSSMGD27rmoFfpXPjDj3o2o+2cYi53rzpWFBbxWKYQatb+A+l9uDyf2hUT59p6VuOHXXAEemgItP/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0320be905a228422206d7acd5da0f4e127bb8563c0d2b48f48d245cc575fd665","last_reissued_at":"2026-05-18T01:09:59.762363Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:59.762363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.01448","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":"2026-05-18T01:09:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PM1rgxzXhJPJ2nKZ6qctmkhRb7eMtblLbUAWJkUWZ7rd+8Ms7dBQxE7QLXUawBsAM5rKJ0zG8imS9RsU7vuUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:21:02.399514Z"},"content_sha256":"3453f9880765278d2b2621df3204bfd8948c152fcc93f805305d5ac1fa6e39e8","schema_version":"1.0","event_id":"sha256:3453f9880765278d2b2621df3204bfd8948c152fcc93f805305d5ac1fa6e39e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:AMQL5EC2EKCCEIDNPLGV3IHU4E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Rokhlin type theorem for simple C*-algebras of finite nuclear dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Hung-Chang Liao","submitted_at":"2015-06-04T02:08:30Z","abstract_excerpt":"We study Z-actions on unital simple separable stably finite C*-algebras of finite nuclear dimension. Assuming that the extreme boundary of the trace space is compact and finite dimensional, and that the induced action on the trace space is trivial, we show that strongly outer Z-actions have finite Rokhlin dimension in the sense of Hirshberg, Winter and Zacharias."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01448","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":"2026-05-18T01:09:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WQEZITSSjSxfJdXd8LQd9RmHse6CvctfvRMsyj8OShcvsqjKOkfyeQ1Onq3WsRpMWqkFGr5gKVXiejM3UYUKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:21:02.399890Z"},"content_sha256":"725d10487b0a0e0241d558d03cdf99ce543427f24f67bbc58b0095e9a7b926f7","schema_version":"1.0","event_id":"sha256:725d10487b0a0e0241d558d03cdf99ce543427f24f67bbc58b0095e9a7b926f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AMQL5EC2EKCCEIDNPLGV3IHU4E/bundle.json","state_url":"https://pith.science/pith/AMQL5EC2EKCCEIDNPLGV3IHU4E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AMQL5EC2EKCCEIDNPLGV3IHU4E/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":"2026-06-28T13:21:02Z","links":{"resolver":"https://pith.science/pith/AMQL5EC2EKCCEIDNPLGV3IHU4E","bundle":"https://pith.science/pith/AMQL5EC2EKCCEIDNPLGV3IHU4E/bundle.json","state":"https://pith.science/pith/AMQL5EC2EKCCEIDNPLGV3IHU4E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AMQL5EC2EKCCEIDNPLGV3IHU4E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AMQL5EC2EKCCEIDNPLGV3IHU4E","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":"e38324c9fb7ada9712e1b70261d714a1babaf00db6dd3a888c1c251d16b63a19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-06-04T02:08:30Z","title_canon_sha256":"6f8c8033519fc48ac29c1a8f5de301800404b9d58c79dd6543dcb63fcd9b1c0b"},"schema_version":"1.0","source":{"id":"1506.01448","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01448","created_at":"2026-05-18T01:09:59Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01448v2","created_at":"2026-05-18T01:09:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01448","created_at":"2026-05-18T01:09:59Z"},{"alias_kind":"pith_short_12","alias_value":"AMQL5EC2EKCC","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AMQL5EC2EKCCEIDN","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AMQL5EC2","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:725d10487b0a0e0241d558d03cdf99ce543427f24f67bbc58b0095e9a7b926f7","target":"graph","created_at":"2026-05-18T01:09:59Z","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 Z-actions on unital simple separable stably finite C*-algebras of finite nuclear dimension. Assuming that the extreme boundary of the trace space is compact and finite dimensional, and that the induced action on the trace space is trivial, we show that strongly outer Z-actions have finite Rokhlin dimension in the sense of Hirshberg, Winter and Zacharias.","authors_text":"Hung-Chang Liao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-06-04T02:08:30Z","title":"A Rokhlin type theorem for simple C*-algebras of finite nuclear dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01448","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":"sha256:3453f9880765278d2b2621df3204bfd8948c152fcc93f805305d5ac1fa6e39e8","target":"record","created_at":"2026-05-18T01:09:59Z","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":"e38324c9fb7ada9712e1b70261d714a1babaf00db6dd3a888c1c251d16b63a19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-06-04T02:08:30Z","title_canon_sha256":"6f8c8033519fc48ac29c1a8f5de301800404b9d58c79dd6543dcb63fcd9b1c0b"},"schema_version":"1.0","source":{"id":"1506.01448","kind":"arxiv","version":2}},"canonical_sha256":"0320be905a228422206d7acd5da0f4e127bb8563c0d2b48f48d245cc575fd665","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0320be905a228422206d7acd5da0f4e127bb8563c0d2b48f48d245cc575fd665","first_computed_at":"2026-05-18T01:09:59.762363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:59.762363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VsCzm5JpSSMGD27rmoFfpXPjDj3o2o+2cYi53rzpWFBbxWKYQatb+A+l9uDyf2hUT59p6VuOHXXAEemgItP/Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:59.763039Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.01448","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3453f9880765278d2b2621df3204bfd8948c152fcc93f805305d5ac1fa6e39e8","sha256:725d10487b0a0e0241d558d03cdf99ce543427f24f67bbc58b0095e9a7b926f7"],"state_sha256":"88862af2aa5bed75b4d84df51d2c8a5072fafdd44c9acba2ae5e106661d41fed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"awCCLUs9eEWNobsEO7h7dPQDZEeRoNbTopl5vBRvE9H3SiTXsw7vrY+9QVv7ZBANNvI7/OeH35FNd8nyMdYrBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T13:21:02.401821Z","bundle_sha256":"2954f31526ca81ff908e28afdcc5014f9a20101f7326ae454d3b780d2951218c"}}