{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:K64F4GF7IP3VU6NHA34HU2YBRF","short_pith_number":"pith:K64F4GF7","schema_version":"1.0","canonical_sha256":"57b85e18bf43f75a79a706f87a6b01895fe405ed4be1d8d268b19d416a8395d6","source":{"kind":"arxiv","id":"1411.2362","version":1},"attestation_state":"computed","paper":{"title":"An Inequality Constrained SL/QP Method for Minimizing the Spectral Abscissa","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Moritz Diehl, Vyacheslav Kungurtsev, Wim Michiels","submitted_at":"2014-11-10T09:38:17Z","abstract_excerpt":"We consider a problem in eigenvalue optimization, in particular finding a local minimizer of the spectral abscissa - the value of a parameter that results in the smallest value of the largest real part of the spectrum of a matrix system. This is an important problem for the stabilization of control systems. Many systems require the spectra to lie in the left half plane in order for them to be stable. The optimization problem, however, is difficult to solve because the underlying objective function is nonconvex, nonsmooth, and non-Lipschitz. In addition, local minima tend to correspond to point"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1411.2362","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-11-10T09:38:17Z","cross_cats_sorted":[],"title_canon_sha256":"90eaf026ca1bf13c3e3b37d303ad76d72a7c7acf9d16d1515f4e39b0f51bbc2f","abstract_canon_sha256":"aedf067eb4d4f7c7f07d8ecc12b2716cd9545264df1329e350220c0609730efb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:07.706509Z","signature_b64":"5uvw2/B6+uvlPNIWnALh/DCTo62063Jv2OgzW3s1C+gq8U1P3yborUfnJ/3Qbv9NNxhQrgjf3c0Xp5EDo4DsCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57b85e18bf43f75a79a706f87a6b01895fe405ed4be1d8d268b19d416a8395d6","last_reissued_at":"2026-05-18T02:38:07.705922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:07.705922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Inequality Constrained SL/QP Method for Minimizing the Spectral Abscissa","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Moritz Diehl, Vyacheslav Kungurtsev, Wim Michiels","submitted_at":"2014-11-10T09:38:17Z","abstract_excerpt":"We consider a problem in eigenvalue optimization, in particular finding a local minimizer of the spectral abscissa - the value of a parameter that results in the smallest value of the largest real part of the spectrum of a matrix system. This is an important problem for the stabilization of control systems. Many systems require the spectra to lie in the left half plane in order for them to be stable. The optimization problem, however, is difficult to solve because the underlying objective function is nonconvex, nonsmooth, and non-Lipschitz. In addition, local minima tend to correspond to point"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2362","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1411.2362","created_at":"2026-05-18T02:38:07.706017+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.2362v1","created_at":"2026-05-18T02:38:07.706017+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2362","created_at":"2026-05-18T02:38:07.706017+00:00"},{"alias_kind":"pith_short_12","alias_value":"K64F4GF7IP3V","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"K64F4GF7IP3VU6NH","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"K64F4GF7","created_at":"2026-05-18T12:28:35.611951+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/K64F4GF7IP3VU6NHA34HU2YBRF","json":"https://pith.science/pith/K64F4GF7IP3VU6NHA34HU2YBRF.json","graph_json":"https://pith.science/api/pith-number/K64F4GF7IP3VU6NHA34HU2YBRF/graph.json","events_json":"https://pith.science/api/pith-number/K64F4GF7IP3VU6NHA34HU2YBRF/events.json","paper":"https://pith.science/paper/K64F4GF7"},"agent_actions":{"view_html":"https://pith.science/pith/K64F4GF7IP3VU6NHA34HU2YBRF","download_json":"https://pith.science/pith/K64F4GF7IP3VU6NHA34HU2YBRF.json","view_paper":"https://pith.science/paper/K64F4GF7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.2362&json=true","fetch_graph":"https://pith.science/api/pith-number/K64F4GF7IP3VU6NHA34HU2YBRF/graph.json","fetch_events":"https://pith.science/api/pith-number/K64F4GF7IP3VU6NHA34HU2YBRF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K64F4GF7IP3VU6NHA34HU2YBRF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K64F4GF7IP3VU6NHA34HU2YBRF/action/storage_attestation","attest_author":"https://pith.science/pith/K64F4GF7IP3VU6NHA34HU2YBRF/action/author_attestation","sign_citation":"https://pith.science/pith/K64F4GF7IP3VU6NHA34HU2YBRF/action/citation_signature","submit_replication":"https://pith.science/pith/K64F4GF7IP3VU6NHA34HU2YBRF/action/replication_record"}},"created_at":"2026-05-18T02:38:07.706017+00:00","updated_at":"2026-05-18T02:38:07.706017+00:00"}