{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5HKH7UMNKFUY56UK6GXLT54NCI","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":"a954607d897ca245f6aa5ff12d585f7e617e708c5f01ef5ec3b16f4441c6ed8e","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-04T11:31:59Z","title_canon_sha256":"98d21500b240d9cedce6559f1075dbb91d164831149e66c3d8b8c0a305ddafaf"},"schema_version":"1.0","source":{"id":"1705.01797","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01797","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01797v4","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01797","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"5HKH7UMNKFUY","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5HKH7UMNKFUY56UK","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5HKH7UMN","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:0aa2786c0e8013a5ae3308cd66f3f86f73141f114a3072666f57b184724f1073","target":"graph","created_at":"2026-05-17T23:53:52Z","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 propose a gradient-based method for quadratic programming problems with a single linear constraint and bounds on the variables. Inspired by the GPCG algorithm for bound-constrained convex quadratic programming [J.J. Mor\\'e and G. Toraldo, SIAM J. Optim. 1, 1991], our approach alternates between two phases until convergence: an identification phase, which performs gradient projection iterations until either a candidate active set is identified or no reasonable progress is made, and an unconstrained minimization phase, which reduces the objective function in a suitable space defined by the id","authors_text":"Daniela di Serafino, Gerardo Toraldo, Jesse Barlow, Marco Viola","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-04T11:31:59Z","title":"A two-phase gradient method for quadratic programming problems with a single linear constraint and bounds on the variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01797","kind":"arxiv","version":4},"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":"sha256:2c1b3dc69b22c44714b8d3d948fb3154b1122d4a280530b16127a836c4069ba8","target":"record","created_at":"2026-05-17T23:53:52Z","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":"a954607d897ca245f6aa5ff12d585f7e617e708c5f01ef5ec3b16f4441c6ed8e","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-04T11:31:59Z","title_canon_sha256":"98d21500b240d9cedce6559f1075dbb91d164831149e66c3d8b8c0a305ddafaf"},"schema_version":"1.0","source":{"id":"1705.01797","kind":"arxiv","version":4}},"canonical_sha256":"e9d47fd18d51698efa8af1aeb9f78d123f7527fbd2bb4827254f263e78bbb58f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9d47fd18d51698efa8af1aeb9f78d123f7527fbd2bb4827254f263e78bbb58f","first_computed_at":"2026-05-17T23:53:52.326763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:52.326763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sfXdAunToVSnBoMv84Kd0QX+BHt7VqoGQEhYBJLNH4eHCdR0iriFm7QBYsXOti7XLk1VT+ydifdreGcSM9mBBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:52.327529Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.01797","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c1b3dc69b22c44714b8d3d948fb3154b1122d4a280530b16127a836c4069ba8","sha256:0aa2786c0e8013a5ae3308cd66f3f86f73141f114a3072666f57b184724f1073"],"state_sha256":"8365e1b2e950c15556bf2e842fe74caedebe2f6ea02f240a6b733ca52df5714b"}