{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:N5RF3RVHWVOVC3U6AANS6FRKBQ","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":"ce11c20b505ae477a0c4362b210bc55617e6c38b519703f246cf861d0135da5f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-07-29T08:49:00Z","title_canon_sha256":"c8824ab4019bf4326b6d18db5c5f64192a2a828b18ba15cba145653bcbdcc210"},"schema_version":"1.0","source":{"id":"2607.26622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.26622","created_at":"2026-07-30T01:21:36Z"},{"alias_kind":"arxiv_version","alias_value":"2607.26622v1","created_at":"2026-07-30T01:21:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.26622","created_at":"2026-07-30T01:21:36Z"},{"alias_kind":"pith_short_12","alias_value":"N5RF3RVHWVOV","created_at":"2026-07-30T01:21:36Z"},{"alias_kind":"pith_short_16","alias_value":"N5RF3RVHWVOVC3U6","created_at":"2026-07-30T01:21:36Z"},{"alias_kind":"pith_short_8","alias_value":"N5RF3RVH","created_at":"2026-07-30T01:21:36Z"}],"graph_snapshots":[{"event_id":"sha256:3b6441f7e50ac7f82e73b0c6ac8c140ee02ed7bfa45cf461f1b4c9cd68985f14","target":"graph","created_at":"2026-07-30T01:21:36Z","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/2607.26622/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Primal-dual active set strategies (PDAS) are popular iterative solvers for mixed complementarity problems such as constrained optimization problems with pointwise inequality constraints. Examples include the reduced-space active set algorithm vinewtonrsls found in PETSc. When applied to discretized infinite-dimensional problems, PDAS exhibit local superlinear convergence thanks to their equivalence to a semismooth Newton method (SSN). However, for many problem classes the number of iterations, to reach convergence, grows without bound under mesh refinement. In this paper we numerically study P","authors_text":"Ioannis P. A. Papadopoulos, Michael Hinterm\\\"uller","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-07-29T08:49:00Z","title":"Mesh-dependent iteration count growth in primal-dual active set strategies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26622","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:e99353142df42dab9ab22a16864c974229867d4c69da83c47d439618c8b225d0","target":"record","created_at":"2026-07-30T01:21:36Z","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":"ce11c20b505ae477a0c4362b210bc55617e6c38b519703f246cf861d0135da5f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-07-29T08:49:00Z","title_canon_sha256":"c8824ab4019bf4326b6d18db5c5f64192a2a828b18ba15cba145653bcbdcc210"},"schema_version":"1.0","source":{"id":"2607.26622","kind":"arxiv","version":1}},"canonical_sha256":"6f625dc6a7b55d516e9e001b2f162a0c2380dccc03cfe8a2712e6a4d64268b16","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f625dc6a7b55d516e9e001b2f162a0c2380dccc03cfe8a2712e6a4d64268b16","first_computed_at":"2026-07-30T01:21:36.492934Z","kind":"pith_receipt","last_reissued_at":"2026-07-30T01:21:36.492934Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2607.26622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e99353142df42dab9ab22a16864c974229867d4c69da83c47d439618c8b225d0","sha256:3b6441f7e50ac7f82e73b0c6ac8c140ee02ed7bfa45cf461f1b4c9cd68985f14"],"state_sha256":"0dbaacdbe2f4df70c04c87905746622373e1ea91f49c1605011e5d184f9be314"}