{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FJ4K32PXIYD7LQ3TACF6QU53S5","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":"243e237a1faea8a199780515764d4a1493211212d1743b4b720b76c91922db71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-07-07T04:37:45Z","title_canon_sha256":"738ed8adf85007007f00ed9bdc1f665b19dba6a90fe1c661fd738c1348a3d4c1"},"schema_version":"1.0","source":{"id":"2207.03082","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.03082","created_at":"2026-07-05T06:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"2207.03082v2","created_at":"2026-07-05T06:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.03082","created_at":"2026-07-05T06:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"FJ4K32PXIYD7","created_at":"2026-07-05T06:35:44Z"},{"alias_kind":"pith_short_16","alias_value":"FJ4K32PXIYD7LQ3T","created_at":"2026-07-05T06:35:44Z"},{"alias_kind":"pith_short_8","alias_value":"FJ4K32PX","created_at":"2026-07-05T06:35:44Z"}],"graph_snapshots":[{"event_id":"sha256:fe8a43c2f22270c9c705083091213feb8315ff4e7886ce52ea9b69bacd187929","target":"graph","created_at":"2026-07-05T06:35:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2207.03082/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a new method for linear second-order cone programs. It is based on the sequential quadratic programming framework for nonlinear programming. In contrast to interior point methods, it can capitalize on the warm-start capabilities of active-set quadratic programming subproblem solvers and achieve a local quadratic rate of convergence.\n  In order to overcome the non-differentiability or singularity observed in nonlinear formulations of the conic constraints, the subproblems approximate the cones with polyhedral outer approximations that are refined throughout the iterations. For nondeg","authors_text":"Andreas Waechter, Xinyi Luo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-07-07T04:37:45Z","title":"A Quadratically Convergent Sequential Programming Method for Second-Order Cone Programs Capable of Warm Starts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.03082","kind":"arxiv","version":2},"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":"sha256:17a33c98b69f1f3b1f1c02acac80c74565a026103fab970fded6f7f8a8ac0aa9","target":"record","created_at":"2026-07-05T06:35:44Z","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":"243e237a1faea8a199780515764d4a1493211212d1743b4b720b76c91922db71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-07-07T04:37:45Z","title_canon_sha256":"738ed8adf85007007f00ed9bdc1f665b19dba6a90fe1c661fd738c1348a3d4c1"},"schema_version":"1.0","source":{"id":"2207.03082","kind":"arxiv","version":2}},"canonical_sha256":"2a78ade9f74607f5c373008be853bb97662699c24f7a4136aff37f710d44d26b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a78ade9f74607f5c373008be853bb97662699c24f7a4136aff37f710d44d26b","first_computed_at":"2026-07-05T06:35:44.270228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:35:44.270228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SoeTrXmbJcClFkzCB2IMZduA2xKroqoPS4xYxzULYCcNImwk92lrOEOQrxsl97m+sRAzXTobsSggL45FJGMRBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:35:44.270639Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.03082","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17a33c98b69f1f3b1f1c02acac80c74565a026103fab970fded6f7f8a8ac0aa9","sha256:fe8a43c2f22270c9c705083091213feb8315ff4e7886ce52ea9b69bacd187929"],"state_sha256":"36fdba6e4b878cbb292c30097996156e5dac955b17466921f9f5cd37c2cf675d"}