{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RH3IZAH3RWGWQ2OYGCB6JLM74V","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":"ad8651b71221e80ed45c42addebe373011bf28037c809c1c6564851240f0ad30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-09T15:07:10Z","title_canon_sha256":"b8dc4fdb7682a1311c1bdb7b589ab2ef4d9d7f5b826d76b529317c343aa4b621"},"schema_version":"1.0","source":{"id":"1807.03214","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.03214","created_at":"2026-05-18T00:04:22Z"},{"alias_kind":"arxiv_version","alias_value":"1807.03214v1","created_at":"2026-05-18T00:04:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.03214","created_at":"2026-05-18T00:04:22Z"},{"alias_kind":"pith_short_12","alias_value":"RH3IZAH3RWGW","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RH3IZAH3RWGWQ2OY","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RH3IZAH3","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:dbd14392ab1f9e4f446baebf9bcf7fc5e786ecaa9e7e1785585e45017ae8f126","target":"graph","created_at":"2026-05-18T00:04:22Z","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":"This paper considers solving convex quadratic programs (QPs) in a real-time setting using a regularized and smoothed Fischer-Burmeister method (FBRS). The Fischer-Burmeister function is used to map the optimality conditions of the quadratic program to a nonlinear system of equations which is solved using Newton's method. Regularization and smoothing are applied to improve the practical performance of the algorithm and a merit function is used to globalize convergence. FBRS is simple to code, easy to warmstart, robust to early termination, and has attractive theoretical properties, making it ap","authors_text":"Dominic Liao-McPherson, Ilya Kolmanovsky, Mike Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-09T15:07:10Z","title":"A Regularized and Smoothed Fischer-Burmeister Method for Quadratic Programming with Applications to Model Predictive Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.03214","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:b190f453cb840a160f4b7f8400f72cff6a4168cca9f7f4abf57ea1c6f51a4d26","target":"record","created_at":"2026-05-18T00:04:22Z","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":"ad8651b71221e80ed45c42addebe373011bf28037c809c1c6564851240f0ad30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-09T15:07:10Z","title_canon_sha256":"b8dc4fdb7682a1311c1bdb7b589ab2ef4d9d7f5b826d76b529317c343aa4b621"},"schema_version":"1.0","source":{"id":"1807.03214","kind":"arxiv","version":1}},"canonical_sha256":"89f68c80fb8d8d6869d83083e4ad9fe55cb16bc157ca1fdedb30cf99bb1643ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89f68c80fb8d8d6869d83083e4ad9fe55cb16bc157ca1fdedb30cf99bb1643ee","first_computed_at":"2026-05-18T00:04:22.545291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:22.545291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4RxKahhAcF8Rx+Peo8c8AJbk7hr/OOUgJcPQNmnrXuTZXDDPyAN229+ZywzCSKBKKj5h34kMjsZri+D+sFQdAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:22.546883Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.03214","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b190f453cb840a160f4b7f8400f72cff6a4168cca9f7f4abf57ea1c6f51a4d26","sha256:dbd14392ab1f9e4f446baebf9bcf7fc5e786ecaa9e7e1785585e45017ae8f126"],"state_sha256":"edc4258e72e01f3129a8f193b4005106b1ff7047b4da72c6fedfff680f516c41"}