{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HUYCVFX4Q2ZSLRXPH7FQNBRHKY","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":"b6411eef94f52d1829ee60b20be651491e9452d139b91ec1f6604735718cbe09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-10-04T21:22:22Z","title_canon_sha256":"053204500a73b5c55cc0ebd6cbfaf474d419b328637acaf1bff2dc5302b4c565"},"schema_version":"1.0","source":{"id":"1810.02429","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02429","created_at":"2026-07-05T03:23:35Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02429v4","created_at":"2026-07-05T03:23:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02429","created_at":"2026-07-05T03:23:35Z"},{"alias_kind":"pith_short_12","alias_value":"HUYCVFX4Q2ZS","created_at":"2026-07-05T03:23:35Z"},{"alias_kind":"pith_short_16","alias_value":"HUYCVFX4Q2ZSLRXP","created_at":"2026-07-05T03:23:35Z"},{"alias_kind":"pith_short_8","alias_value":"HUYCVFX4","created_at":"2026-07-05T03:23:35Z"}],"graph_snapshots":[{"event_id":"sha256:76447f84baa82604b8963a889b25106784da66e20ba1e3fd111e02a8eca97d97","target":"graph","created_at":"2026-07-05T03:23:35Z","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/1810.02429/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Conditional Gradient algorithms (aka Frank-Wolfe algorithms) form a classical set of methods for constrained smooth convex minimization due to their simplicity, the absence of projection steps, and competitive numerical performance. While the vanilla Frank-Wolfe algorithm only ensures a worst-case rate of $\\mathcal{O}(1/\\epsilon)$, various recent results have shown that for strongly convex functions on polytopes, the method can be slightly modified to achieve linear convergence. However, this still leaves a huge gap between sublinear $\\mathcal{O}(1/\\epsilon)$ convergence and linear $\\mathcal{O","authors_text":"Alexandre d'Aspremont, Sebastian Pokutta, Thomas Kerdreux","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-10-04T21:22:22Z","title":"Restarting Frank-Wolfe: Faster Rates Under H\\\"olderian Error Bounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02429","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":"sha256:97bf6ca27269d9d19cc88096e75320e4d6d4827dbb76cb74edb182a336b4ef8d","target":"record","created_at":"2026-07-05T03:23:35Z","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":"b6411eef94f52d1829ee60b20be651491e9452d139b91ec1f6604735718cbe09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-10-04T21:22:22Z","title_canon_sha256":"053204500a73b5c55cc0ebd6cbfaf474d419b328637acaf1bff2dc5302b4c565"},"schema_version":"1.0","source":{"id":"1810.02429","kind":"arxiv","version":4}},"canonical_sha256":"3d302a96fc86b325c6ef3fcb0686275632142aab2e7c7408ba1d65fbb737e0ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d302a96fc86b325c6ef3fcb0686275632142aab2e7c7408ba1d65fbb737e0ea","first_computed_at":"2026-07-05T03:23:35.396347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:23:35.396347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CdDlFGOFK04Sy5XX7g7CW+p3A14r6wgS5ltLL6EFcRu2c7ThRCNioi4kknHR/RBcoT2EdmPYqSjD+/gjT2FKCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:23:35.396799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.02429","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97bf6ca27269d9d19cc88096e75320e4d6d4827dbb76cb74edb182a336b4ef8d","sha256:76447f84baa82604b8963a889b25106784da66e20ba1e3fd111e02a8eca97d97"],"state_sha256":"8d589bb0db0a58e7c005b67347c0ffc2a8b05fca5ae34ce8be620d2b307f3405"}