{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SVNCKRJOABORMFZBOHFRBSA2YG","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":"080165d270f68bb4578afb723a5ddc753e300794bc2098650f0e7a378219909a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-08-20T08:33:18Z","title_canon_sha256":"e06f13b17ae8204044e22996e8ab1749de1cb8f55d601b4a20be56329f984408"},"schema_version":"1.0","source":{"id":"1908.07217","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07217","created_at":"2026-07-05T01:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07217v2","created_at":"2026-07-05T01:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07217","created_at":"2026-07-05T01:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"SVNCKRJOABOR","created_at":"2026-07-05T01:48:25Z"},{"alias_kind":"pith_short_16","alias_value":"SVNCKRJOABORMFZB","created_at":"2026-07-05T01:48:25Z"},{"alias_kind":"pith_short_8","alias_value":"SVNCKRJO","created_at":"2026-07-05T01:48:25Z"}],"graph_snapshots":[{"event_id":"sha256:5a1b46a00acf65d80f884a781d85f0dc13992984c6dd8a7d9d9d783fbd20fc5e","target":"graph","created_at":"2026-07-05T01:48:25Z","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/1908.07217/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We characterise Exel's noncommutative Cartan subalgebras in several ways using uniqueness of conditional expectations, relative commutants, or purely outer inverse semigroup actions. We describe in which sense the crossed product decomposition for a noncommutative Cartan subalgebra is unique. We relate the property of being a noncommutative Cartan subalgebra to aperiodic inclusions and effectivity of dual groupoids. In particular, we extend Renault's characterisation of commutative Cartan subalgebras.","authors_text":"B. K. Kwasniewski, R. Meyer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-08-20T08:33:18Z","title":"Noncommutative Cartan C*-subalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07217","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":"sha256:172d73e49dc80a4dababb1fc4a2794b3f0146f765a6b7456941a25ea0107e831","target":"record","created_at":"2026-07-05T01:48:25Z","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":"080165d270f68bb4578afb723a5ddc753e300794bc2098650f0e7a378219909a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-08-20T08:33:18Z","title_canon_sha256":"e06f13b17ae8204044e22996e8ab1749de1cb8f55d601b4a20be56329f984408"},"schema_version":"1.0","source":{"id":"1908.07217","kind":"arxiv","version":2}},"canonical_sha256":"955a25452e005d16172171cb10c81ac1b760b7372dde8b9f3497c8b84c3a1db5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"955a25452e005d16172171cb10c81ac1b760b7372dde8b9f3497c8b84c3a1db5","first_computed_at":"2026-07-05T01:48:25.011969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:48:25.011969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oDmtgeCXvp6vAsmRxZz7r/4JMDYOyUdAdYZMY/o82jmIke3tD6fTzqOz8Qsu72IcNmp7/PWgMgCCqi//4t+XDw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:48:25.012389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.07217","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:172d73e49dc80a4dababb1fc4a2794b3f0146f765a6b7456941a25ea0107e831","sha256:5a1b46a00acf65d80f884a781d85f0dc13992984c6dd8a7d9d9d783fbd20fc5e"],"state_sha256":"a40f3869d3dff56ace36126fa0c05f4a589641d161a0c4aaac6e88e841c4a674"}