{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KV377XHUGEVJ4B76ACNBUBGXCJ","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":"c324cc61764c96dcc840815392a4643ff2c00a0ddb9eb6596f9b69220b8270ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-20T17:30:16Z","title_canon_sha256":"48927b01d9adadbc210638735957b5428e3525480f77b73aab0812ede694151f"},"schema_version":"1.0","source":{"id":"1406.5468","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5468","created_at":"2026-05-17T23:43:28Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5468v4","created_at":"2026-05-17T23:43:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5468","created_at":"2026-05-17T23:43:28Z"},{"alias_kind":"pith_short_12","alias_value":"KV377XHUGEVJ","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KV377XHUGEVJ4B76","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KV377XHU","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:759686bec7ffd6a493c81e349881a8fb6b67b0586657343b2e04cfcad579c2e1","target":"graph","created_at":"2026-05-17T23:43:28Z","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 introduce new optimized first-order methods for smooth unconstrained convex minimization. Drori and Teboulle recently described a numerical method for computing the $N$-iteration optimal step coefficients in a class of first-order algorithms that includes gradient methods, heavy-ball methods, and Nesterov's fast gradient methods. However, Drori and Teboulle's numerical method is computationally expensive for large $N$, and the corresponding numerically optimized first-order algorithm requires impractical memory and computation for large-scale optimization problems. In this paper, we propose","authors_text":"Donghwan Kim, Jeffrey A. Fessler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-20T17:30:16Z","title":"Optimized first-order methods for smooth convex minimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5468","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:eb90006e16545d4ff6ebcab070e73dd39e50cf084b57bd6c7136bf48fbaf8ba2","target":"record","created_at":"2026-05-17T23:43:28Z","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":"c324cc61764c96dcc840815392a4643ff2c00a0ddb9eb6596f9b69220b8270ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-06-20T17:30:16Z","title_canon_sha256":"48927b01d9adadbc210638735957b5428e3525480f77b73aab0812ede694151f"},"schema_version":"1.0","source":{"id":"1406.5468","kind":"arxiv","version":4}},"canonical_sha256":"5577ffdcf4312a9e07fe009a1a04d712707b4ccd76fdb963cb403b05cf077bf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5577ffdcf4312a9e07fe009a1a04d712707b4ccd76fdb963cb403b05cf077bf1","first_computed_at":"2026-05-17T23:43:28.886380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:28.886380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g/0A+Sd5ROS8/C2UO7qzw1NIk0tmALUKYFGzIvLzF7UL+wGgFtuxb4Byq/yqD4g+u6Sf5bbo3bqeKj0Kn8DWDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:28.887083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5468","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb90006e16545d4ff6ebcab070e73dd39e50cf084b57bd6c7136bf48fbaf8ba2","sha256:759686bec7ffd6a493c81e349881a8fb6b67b0586657343b2e04cfcad579c2e1"],"state_sha256":"a40de4bf3c229f98f69f0de9eab125df2dbb119faee3036345115392b4752aff"}