{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:N3GEPPLRS6UNDD3PIVSNCE2HLG","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":"8ee1300f17c13d03e735c4fa09c4379ac3ac1d3c9da8eb98ef180f0417dc3057","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-09-02T09:57:27Z","title_canon_sha256":"e6a3eabc9291a62f25d0b42a5912d329fc24a5e508c00d8844e2cb36c31b54d5"},"schema_version":"1.0","source":{"id":"1709.00554","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00554","created_at":"2026-05-17T23:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00554v3","created_at":"2026-05-17T23:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00554","created_at":"2026-05-17T23:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"N3GEPPLRS6UN","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"N3GEPPLRS6UNDD3P","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"N3GEPPLR","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:018b04513ecf37838f0d56b45e06672de4dc77e41841ea4ceadb93c43a8abe3c","target":"graph","created_at":"2026-05-17T23:58:14Z","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":"A subset $\\mathcal{G}$ generating a $C^*$-algebra $A$ is said to be hyperrigid if for every faithful nondegenerate $*$-representation $A\\subseteq B(H)$ and a sequence $\\phi_n:B(H) \\to B(H)$ of unital completely positive maps, we have that \\[ \\lim_{n\\to\\infty}\\phi_n(g)= g~~\\text{for all } g\\in \\mathcal{G} ~~ \\implies ~~ \\lim_{n\\to\\infty}\\phi_n(a)= a~~\\text{for all } a\\in A \\] where all convergence are in norm. In this paper, we show that for the Cuntz-Krieger algebra $\\mathcal{O}(G)$ associated to a row-finite directed graph $G$ with no isolated vertices, the set of partial isometries $\\mathcal","authors_text":"Guy Salomon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-09-02T09:57:27Z","title":"Hyperrigid subsets of Cuntz-Krieger algebras and the property of rigidity at zero"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00554","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":"sha256:4ebce69c6911cf3b077e5db1ae945343f345d8a74de5924e9c54a5191fbb7901","target":"record","created_at":"2026-05-17T23:58:14Z","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":"8ee1300f17c13d03e735c4fa09c4379ac3ac1d3c9da8eb98ef180f0417dc3057","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-09-02T09:57:27Z","title_canon_sha256":"e6a3eabc9291a62f25d0b42a5912d329fc24a5e508c00d8844e2cb36c31b54d5"},"schema_version":"1.0","source":{"id":"1709.00554","kind":"arxiv","version":3}},"canonical_sha256":"6ecc47bd7197a8d18f6f4564d11347599364ba8e81cfc51af9e76dd5a3449af8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ecc47bd7197a8d18f6f4564d11347599364ba8e81cfc51af9e76dd5a3449af8","first_computed_at":"2026-05-17T23:58:14.867862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:14.867862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eu+bwfl8enk//10oxXG/6MUaAj6/6YQma7GPlP90BJy2LsaDfIJs3g0ojcZMbVHrOq0JL19bF2stWSclpF3HDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:14.868437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.00554","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ebce69c6911cf3b077e5db1ae945343f345d8a74de5924e9c54a5191fbb7901","sha256:018b04513ecf37838f0d56b45e06672de4dc77e41841ea4ceadb93c43a8abe3c"],"state_sha256":"0e424464fd8237a02ceb5b5edf70847c19733d1ed5fa28116b10e92507a6b83b"}