{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JF7VT3MQCZYIL3HBDWMTKZ7P76","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":"adab230f35e27c7e31dcbf0cb45cd8e9094b3ddc4d52bed631841f930bcc33dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-12-01T03:54:19Z","title_canon_sha256":"64e9da6dbd10985dee2d31e350f1834736d32ad4b570e0b26c891f8f082b3985"},"schema_version":"1.0","source":{"id":"1712.00179","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00179","created_at":"2026-07-05T02:41:45Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00179v2","created_at":"2026-07-05T02:41:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00179","created_at":"2026-07-05T02:41:45Z"},{"alias_kind":"pith_short_12","alias_value":"JF7VT3MQCZYI","created_at":"2026-07-05T02:41:45Z"},{"alias_kind":"pith_short_16","alias_value":"JF7VT3MQCZYIL3HB","created_at":"2026-07-05T02:41:45Z"},{"alias_kind":"pith_short_8","alias_value":"JF7VT3MQ","created_at":"2026-07-05T02:41:45Z"}],"graph_snapshots":[{"event_id":"sha256:c4c86711a3956cd8fb3c4984760f176ee6359bdb61932d7505f321810d22c033","target":"graph","created_at":"2026-07-05T02:41:45Z","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/1712.00179/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A one-sided shift of finite type $(X_A,\\sigma_A)$ determines on the one hand a Cuntz-Krieger algebra $\\mathcal{O}_A$ with a distinguished abelian subalgebra $\\mathcal{D}_A$ and a certain completely positive map $\\tau_A$ on $\\mathcal{O}_A$. On the other hand, $(X_A,\\sigma_A)$ determines a groupoid $\\mathcal{G}_A$ together with a certain homomorphism $\\epsilon_A$ on $\\mathcal{G}_A$. We show that this data completely characterizes the one-sided conjugacy class of $X_A$. This strengthens a result of Cuntz and Krieger. We also exhibit an example of two irreducible shifts of finite type which are ev","authors_text":"Kevin Aguyar Brix, Toke Meier Carlsen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-12-01T03:54:19Z","title":"Cuntz-Krieger algebras and one-sided conjugacy of shifts of finite type and their groupoids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00179","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":"sha256:180a65d7e6bcad03c5aa86e9fc781a19ced430f510fbf1a0620ca801387a3175","target":"record","created_at":"2026-07-05T02:41:45Z","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":"adab230f35e27c7e31dcbf0cb45cd8e9094b3ddc4d52bed631841f930bcc33dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-12-01T03:54:19Z","title_canon_sha256":"64e9da6dbd10985dee2d31e350f1834736d32ad4b570e0b26c891f8f082b3985"},"schema_version":"1.0","source":{"id":"1712.00179","kind":"arxiv","version":2}},"canonical_sha256":"497f59ed90167085ece11d993567efff9cf559515170e5b6a77ce9648f37e6c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"497f59ed90167085ece11d993567efff9cf559515170e5b6a77ce9648f37e6c0","first_computed_at":"2026-07-05T02:41:45.345031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:41:45.345031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6KMfgK14KgF5MdjM2HgH8aQTX2y4kEeXppgJsGzK00aGcdLQ7BQuAuL1oUp9KfhrKKl1cP14kizm7eQIYD5VCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:41:45.345465Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.00179","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:180a65d7e6bcad03c5aa86e9fc781a19ced430f510fbf1a0620ca801387a3175","sha256:c4c86711a3956cd8fb3c4984760f176ee6359bdb61932d7505f321810d22c033"],"state_sha256":"d3b6510e441440ce9e09433530e1866b3313a184be1f93fafcaeb51645e26349"}