{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:S7ELFD5WPJNVFOPCEHXEC56623","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":"f8339694856a946dedf9d8c0a7772bf7e83a9f38df500e3c4a5dac418b6bbdaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-09-24T07:58:38Z","title_canon_sha256":"cdd497861e47056b3c8dbfd4e7098cf3581d304e80b687b6587b33635129b1b3"},"schema_version":"1.0","source":{"id":"1009.4778","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4778","created_at":"2026-05-18T02:02:15Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4778v3","created_at":"2026-05-18T02:02:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4778","created_at":"2026-05-18T02:02:15Z"},{"alias_kind":"pith_short_12","alias_value":"S7ELFD5WPJNV","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"S7ELFD5WPJNVFOPC","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"S7ELFD5W","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:c3b45b749e8f27d9359a8fc612eff176fe0c4b497b1356108a9eb95e25935b09","target":"graph","created_at":"2026-05-18T02:02:15Z","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 give a classification result for a certain class of $C^{*}$-algebras $\\mathfrak{A}$ over a finite topological space $X$ in which there exists an open set $U$ of $X$ such that $U$ separates the finite and infinite subquotients of $\\mathfrak{A}$. We will apply our results to $C^{*}$-algebras arising from graphs.","authors_text":"Efren Ruiz, Gunnar Restorff, Soren Eilers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-09-24T07:58:38Z","title":"Classifying $C^*$-algebras with both finite and infinite subquotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4778","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":"sha256:3b8d1c2400862d6c217532dfe7b9a50d748bc61188221b4099c5ab83535d3cbd","target":"record","created_at":"2026-05-18T02:02:15Z","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":"f8339694856a946dedf9d8c0a7772bf7e83a9f38df500e3c4a5dac418b6bbdaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-09-24T07:58:38Z","title_canon_sha256":"cdd497861e47056b3c8dbfd4e7098cf3581d304e80b687b6587b33635129b1b3"},"schema_version":"1.0","source":{"id":"1009.4778","kind":"arxiv","version":3}},"canonical_sha256":"97c8b28fb67a5b52b9e221ee4177ded6c6751ae7ad813aae3dbfaedb80e89a83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97c8b28fb67a5b52b9e221ee4177ded6c6751ae7ad813aae3dbfaedb80e89a83","first_computed_at":"2026-05-18T02:02:15.738671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:15.738671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8YOtkAyr1rzsmWoxUiSc3kVeLAyO4v0RlwEXbRw5srqImPbtCWnOps0d0RfWdpki3MC5GjPEYJYEZ/tZtA98CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:15.739266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4778","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b8d1c2400862d6c217532dfe7b9a50d748bc61188221b4099c5ab83535d3cbd","sha256:c3b45b749e8f27d9359a8fc612eff176fe0c4b497b1356108a9eb95e25935b09"],"state_sha256":"15740c1f9ecaacba1d407da0bbf6947748c7a167241c0435c716316b933b051d"}