{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:VGGH4XKJNNQ35WUTWFYKWXE7QH","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":"26245bd7be78b0969e225a501c1336a1a28af517246b6f82cf434d063b3d576f","cross_cats_sorted":["cs.NA","math.OC"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2021-04-12T17:40:37Z","title_canon_sha256":"c067d2090f1e1aeb4f0de0feade588d2104f57a81104898774cd4f60c41b2d4f"},"schema_version":"1.0","source":{"id":"2104.05672","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.05672","created_at":"2026-07-05T02:31:15Z"},{"alias_kind":"arxiv_version","alias_value":"2104.05672v1","created_at":"2026-07-05T02:31:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.05672","created_at":"2026-07-05T02:31:15Z"},{"alias_kind":"pith_short_12","alias_value":"VGGH4XKJNNQ3","created_at":"2026-07-05T02:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"VGGH4XKJNNQ35WUT","created_at":"2026-07-05T02:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"VGGH4XKJ","created_at":"2026-07-05T02:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:634e8e5c00c60fb6773aec115c8ce4bda34385d7d9ab3e57ae178ad7fd33787e","target":"graph","created_at":"2026-07-05T02:31:15Z","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/2104.05672/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The parallel solution of large scale non-linear programming problems, which arise for example from the discretization of non-linear partial differential equations, is a highly demanding task. Here, a novel solution strategy is presented, which is inherently parallel and globally convergent. Each global non-linear iteration step consists of asynchronous solutions of local non-linear programming problems followed by a global recombination step. The recombination step, which is the solution of a quadratic programming problem, is designed in a way such that it ensures global convergence. As it tur","authors_text":"Christian Gross, Rolf Krause","cross_cats":["cs.NA","math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2021-04-12T17:40:37Z","title":"On the Globalization of ASPIN Employing Trust-Region Control Strategies -- Convergence Analysis and Numerical Examples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.05672","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":"sha256:5cd034e38dc8f5f4794881c13053b9e03edcaa43f13679983d5e2ffefc097ae1","target":"record","created_at":"2026-07-05T02:31:15Z","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":"26245bd7be78b0969e225a501c1336a1a28af517246b6f82cf434d063b3d576f","cross_cats_sorted":["cs.NA","math.OC"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2021-04-12T17:40:37Z","title_canon_sha256":"c067d2090f1e1aeb4f0de0feade588d2104f57a81104898774cd4f60c41b2d4f"},"schema_version":"1.0","source":{"id":"2104.05672","kind":"arxiv","version":1}},"canonical_sha256":"a98c7e5d496b61beda93b170ab5c9f81d28d05183a0823df0a71fd2387c34f9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a98c7e5d496b61beda93b170ab5c9f81d28d05183a0823df0a71fd2387c34f9a","first_computed_at":"2026-07-05T02:31:15.072794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:31:15.072794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0GLf/c/w1urmZa/nIjOf0hwWFVcE1FRhBK7KcLMoFZCCAVLRl36Ds7nFtd8X+ybdZ/vFyfCqEmXKgftvGMNGDw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:31:15.073208Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.05672","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cd034e38dc8f5f4794881c13053b9e03edcaa43f13679983d5e2ffefc097ae1","sha256:634e8e5c00c60fb6773aec115c8ce4bda34385d7d9ab3e57ae178ad7fd33787e"],"state_sha256":"4e437b8918fcc535ab590b82dadad622cc8f78f90176b4d7642d478841c1c73a"}