{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:T3HFP2EYOOSZM6KVUAHPT2D7MU","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":"e35eb517c54d444f0c6a6e016672134222771a6f0e6324d6027c9bb5747fe94f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-08-08T08:22:49Z","title_canon_sha256":"0248900cf02283e198c5fc1bda6724104d4b1f982c5278b472a6cd100e33dabc"},"schema_version":"1.0","source":{"id":"1908.02971","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02971","created_at":"2026-07-05T03:57:22Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02971v3","created_at":"2026-07-05T03:57:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02971","created_at":"2026-07-05T03:57:22Z"},{"alias_kind":"pith_short_12","alias_value":"T3HFP2EYOOSZ","created_at":"2026-07-05T03:57:22Z"},{"alias_kind":"pith_short_16","alias_value":"T3HFP2EYOOSZM6KV","created_at":"2026-07-05T03:57:22Z"},{"alias_kind":"pith_short_8","alias_value":"T3HFP2EY","created_at":"2026-07-05T03:57:22Z"}],"graph_snapshots":[{"event_id":"sha256:473150802e595083216c561b08368a6645954235ec36fdb3e2e9b56d43d1b6f1","target":"graph","created_at":"2026-07-05T03:57:22Z","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/1908.02971/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a framework to produce C*-algebra inclusions with extreme properties. This gives the first constructive nuclear minimal ambient C*-algebras. We further obtain a purely infinite analogue of Dadarlat's modeling theorem on AF-algebras: Every Kirchberg algebra is rigidly and KK-equivalently sandwiched by non-nuclear C*-algebras without intermediate C*-algebras. Finally we reveal a novel property of Kirchberg algebras: They embed into arbitrarily wild C*-algebras as rigid maximal C*-subalgebras.","authors_text":"Yuhei Suzuki","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-08-08T08:22:49Z","title":"Non-amenable tight squeezes by Kirchberg algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02971","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:d38386984728726e542dc84f0baebb49820af5ac359020df824187ff1d6e63b4","target":"record","created_at":"2026-07-05T03:57:22Z","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":"e35eb517c54d444f0c6a6e016672134222771a6f0e6324d6027c9bb5747fe94f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-08-08T08:22:49Z","title_canon_sha256":"0248900cf02283e198c5fc1bda6724104d4b1f982c5278b472a6cd100e33dabc"},"schema_version":"1.0","source":{"id":"1908.02971","kind":"arxiv","version":3}},"canonical_sha256":"9ece57e89873a5967955a00ef9e87f650d55a6ed1339f8308ff72d44c4bb8db1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ece57e89873a5967955a00ef9e87f650d55a6ed1339f8308ff72d44c4bb8db1","first_computed_at":"2026-07-05T03:57:22.865268Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:57:22.865268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7IBZduvR/bwZnxAkHZ0ZLEOJBi0CPAtyVMYpGEh4OcToPaueShfawHCRdBWER9xBYPxr0Z0Utkr7eCYxfPMeBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:57:22.865750Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02971","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d38386984728726e542dc84f0baebb49820af5ac359020df824187ff1d6e63b4","sha256:473150802e595083216c561b08368a6645954235ec36fdb3e2e9b56d43d1b6f1"],"state_sha256":"4553ee51f440ad8446d1888be22b38a9b9e9e211d2f4461fa96347536f651b03"}