{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZQFMYQMTPSRWHICNF72EUQ2F43","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":"c6263d861158da823cce73ae324d56c9ee14cf164ffd9764b8c017e508f527c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T17:39:03Z","title_canon_sha256":"027d2eca86251c7cebcfe8cf891a8ad734c37dfbcc406d43acc0d64336a564ad"},"schema_version":"1.0","source":{"id":"1303.5342","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5342","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5342v1","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5342","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"ZQFMYQMTPSRW","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZQFMYQMTPSRWHICN","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZQFMYQMT","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:100f5fb9c65b39e140ae8b6b61cc29580e5bbb24aeaf8aafe81072d2615547e2","target":"graph","created_at":"2026-05-18T03:30:13Z","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 analyse a special case of the robust stabilization problem under structured uncertainty. We obtain a new criterion for the solvability of the spectral Nevanlinna-Pick problem, which is a special case of the $\\mu$-synthesis problem of $H^\\infty$ control in which $\\mu$ is the spectral radius. Given $n$ distinct points $\\la_1,\\dots,\\la_n$ in the unit disc and $2\\times 2$ nonscalar complex matrices $W_1,\\dots,W_n$, the problem is to determine whether there is an analytic $2\\times 2$ matrix function $F$ on the disc such that $F(\\la_j)=W_j$ for each $j$ and the supremum of the spectral radius of ","authors_text":"Jim Agler, N. J. Young, Z. A. Lykova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T17:39:03Z","title":"A case of mu-synthesis as a quadratic semidefinite program"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5342","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:a4131e13c4b91eb6525b7c55bd98cfe714d60d73792fb2a1e703917551602824","target":"record","created_at":"2026-05-18T03:30:13Z","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":"c6263d861158da823cce73ae324d56c9ee14cf164ffd9764b8c017e508f527c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T17:39:03Z","title_canon_sha256":"027d2eca86251c7cebcfe8cf891a8ad734c37dfbcc406d43acc0d64336a564ad"},"schema_version":"1.0","source":{"id":"1303.5342","kind":"arxiv","version":1}},"canonical_sha256":"cc0acc41937ca363a04d2ff44a4345e6ce93e4aa3258c348c693b41457716025","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc0acc41937ca363a04d2ff44a4345e6ce93e4aa3258c348c693b41457716025","first_computed_at":"2026-05-18T03:30:13.126093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:13.126093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AQeaA5NiIyLJY2BwHn2D+Qhzd0smTx4IyfPoeyWKym2MuU3p/ScTqwl4oG8MXqb3xQtaapld5Qa0xlFogYJ/Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:13.126674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5342","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4131e13c4b91eb6525b7c55bd98cfe714d60d73792fb2a1e703917551602824","sha256:100f5fb9c65b39e140ae8b6b61cc29580e5bbb24aeaf8aafe81072d2615547e2"],"state_sha256":"2d829c9878d72fceb3054ff5bf3506c3ee7994bd540df4f96f5824b0dff5f3dc"}