{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BDAD6BH73TSQWDCFMWDUSWKSJW","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":"2303b7c9bd74940047fedc1566db3fe7edbd5399aeeda45ba34cb98af499999b","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-08-26T01:02:39Z","title_canon_sha256":"2c89390f581823a70b7b238cc7344bef479a5ad79a8962fdd2c41bb89f797525"},"schema_version":"1.0","source":{"id":"1108.5219","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5219","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5219v1","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5219","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"BDAD6BH73TSQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BDAD6BH73TSQWDCF","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BDAD6BH7","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:28e6ef9e12d8329114fe7895c55c33d764c102479868f166d0901574dfc4b07d","target":"graph","created_at":"2026-05-18T04:14:38Z","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 define a new numerical range of an n\\timesn complex matrix in terms of correlation matrices and develop some of its properties. We also define a related numerical range that arises from Alain Connes' famous embedding problem.","authors_text":"Deguang Han, Don Hadwin","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-08-26T01:02:39Z","title":"The Correlation Numerical Range of a Matrix and Connes' Embedding Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5219","kind":"arxiv","version":1},"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":"sha256:1c64c10884c233398bf1a81abccca5c97ac1d86730bc419d98dfab073a35bd2f","target":"record","created_at":"2026-05-18T04:14:38Z","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":"2303b7c9bd74940047fedc1566db3fe7edbd5399aeeda45ba34cb98af499999b","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-08-26T01:02:39Z","title_canon_sha256":"2c89390f581823a70b7b238cc7344bef479a5ad79a8962fdd2c41bb89f797525"},"schema_version":"1.0","source":{"id":"1108.5219","kind":"arxiv","version":1}},"canonical_sha256":"08c03f04ffdce50b0c4565874959524dadb669f686809aab7cd7ed717bc7f1ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08c03f04ffdce50b0c4565874959524dadb669f686809aab7cd7ed717bc7f1ce","first_computed_at":"2026-05-18T04:14:38.719634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:38.719634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Kij/VkHreGo1JIrx38hFtUKkLXI7h2ELNQtzbVTGPELNXfvZ60M890cc5jBmHPsYtNB/MMXD/Yr1Zrx0AhgCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:38.720020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5219","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c64c10884c233398bf1a81abccca5c97ac1d86730bc419d98dfab073a35bd2f","sha256:28e6ef9e12d8329114fe7895c55c33d764c102479868f166d0901574dfc4b07d"],"state_sha256":"f0bb8da048ddfa6c42dd75b3d29d4f003fa3bbaa6100ad15a57381c2364a33e2"}