{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:X5QKIGGJKRI22GC5X4NTMFDUYV","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":"beea05af575c9806376ba6ee30dc6ee047356fbe08482d440037b16e78f54244","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-26T22:54:11Z","title_canon_sha256":"8f8836db0a7d9ad4c7ac385d662deb775287695ec69ce12974fbd735141f13ec"},"schema_version":"1.0","source":{"id":"1903.11184","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11184","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11184v1","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11184","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"X5QKIGGJKRI2","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"X5QKIGGJKRI22GC5","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"X5QKIGGJ","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:8a41c26870b60c08fb2c0cee33d6fbe1976b1c6f1737b29f3c150689e0a18ccb","target":"graph","created_at":"2026-05-17T23:50:03Z","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":"The $\\mathcal{VU}$-algorithm is a superlinearly convergent method for minimizing nonsmooth, convex functions. At each iteration, the algorithm works with a certain $\\mathcal{V}$-space and its orthogonal $\\U$-space, such that the nonsmoothness of the objective function is concentrated on its projection onto the $\\mathcal{V}$-space, and on the $\\mathcal{U}$-space the projection is smooth. This structure allows for an alternation between a Newton-like step where the function is smooth, and a proximal-point step that is used to find iterates with promising $\\mathcal{VU}$-decompositions. We establi","authors_text":"Chayne Planiden, Claudia Sagastiz\\'abal, Warren Hare","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-26T22:54:11Z","title":"A derivative-free $\\mathcal{VU}$-algorithm for convex finite-max problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11184","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:a69265747c3981716afa01a579f4772107e7c3a2681cdafda45ff6fca3503c3c","target":"record","created_at":"2026-05-17T23:50:03Z","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":"beea05af575c9806376ba6ee30dc6ee047356fbe08482d440037b16e78f54244","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-26T22:54:11Z","title_canon_sha256":"8f8836db0a7d9ad4c7ac385d662deb775287695ec69ce12974fbd735141f13ec"},"schema_version":"1.0","source":{"id":"1903.11184","kind":"arxiv","version":1}},"canonical_sha256":"bf60a418c95451ad185dbf1b361474c5640f05be9e956262c31717c9706db90c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf60a418c95451ad185dbf1b361474c5640f05be9e956262c31717c9706db90c","first_computed_at":"2026-05-17T23:50:03.937171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:03.937171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k19xEquu7c2JsSczI8C9Yomdm8o95iFNQbs0aeid2vEcczjlhaNXs11ElxDqrkrUjWD0puvwEZmsehfzq7/QDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:03.937753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.11184","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a69265747c3981716afa01a579f4772107e7c3a2681cdafda45ff6fca3503c3c","sha256:8a41c26870b60c08fb2c0cee33d6fbe1976b1c6f1737b29f3c150689e0a18ccb"],"state_sha256":"e03826e11714f3c143c5cfa4ad86b0a0eca137d81d90434cf5fcf55db7d05a7e"}