{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:I4SQC6M5Q7SD2J4RPYVVVS5GDQ","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":"c8aaf8d2d3e8192f98deae9c7560c4268d8d5496ee45a22d9520d7d56f22a884","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-06-30T12:07:39Z","title_canon_sha256":"3122216df845cbc266a823784ecf45169e426dac86470c97406ea594f1e78805"},"schema_version":"1.0","source":{"id":"2506.23758","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.23758","created_at":"2026-07-05T11:29:27Z"},{"alias_kind":"arxiv_version","alias_value":"2506.23758v1","created_at":"2026-07-05T11:29:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.23758","created_at":"2026-07-05T11:29:27Z"},{"alias_kind":"pith_short_12","alias_value":"I4SQC6M5Q7SD","created_at":"2026-07-05T11:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"I4SQC6M5Q7SD2J4R","created_at":"2026-07-05T11:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"I4SQC6M5","created_at":"2026-07-05T11:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:215021fd17e88a9df7f01de198d657291f8f2223d7cdd4e1f5b3051faac637a3","target":"graph","created_at":"2026-07-05T11:29:27Z","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/2506.23758/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Minimizing finite sums of functions is a central problem in optimization, arising in numerous practical applications. Such problems are commonly addressed using first-order optimization methods. However, these procedures cannot be used in settings where gradient information is unavailable. Finite-difference methods provide an alternative by approximating gradients through function evaluations along a set of directions. For finite-sum minimization problems, it was shown that incorporating variance-reduction techniques into finite-difference methods can improve convergence rates. Additionally, r","authors_text":"Cesare Molinari, Cheik Traor\\'e, Lorenzo Rosasco, Marco Rando, Silvia Villa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-06-30T12:07:39Z","title":"A Structured Proximal Stochastic Variance Reduced Zeroth-order Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.23758","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:bbcddae6fab674493f4bd26ac43c47a980d111f33e87393ee170e4c65ef26010","target":"record","created_at":"2026-07-05T11:29:27Z","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":"c8aaf8d2d3e8192f98deae9c7560c4268d8d5496ee45a22d9520d7d56f22a884","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-06-30T12:07:39Z","title_canon_sha256":"3122216df845cbc266a823784ecf45169e426dac86470c97406ea594f1e78805"},"schema_version":"1.0","source":{"id":"2506.23758","kind":"arxiv","version":1}},"canonical_sha256":"472501799d87e43d27917e2b5acba61c02179f9c3befe6dad889a46990a4456f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"472501799d87e43d27917e2b5acba61c02179f9c3befe6dad889a46990a4456f","first_computed_at":"2026-07-05T11:29:27.594504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:29:27.594504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PkEl9t0TIdf9oldXUuDG/YY6CTKX60YQanneAHZouKkaiezWdQjQudHPjPCHagu1+u2AVh5bCty7koGfFkgeAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:29:27.595003Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.23758","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbcddae6fab674493f4bd26ac43c47a980d111f33e87393ee170e4c65ef26010","sha256:215021fd17e88a9df7f01de198d657291f8f2223d7cdd4e1f5b3051faac637a3"],"state_sha256":"4bcddee6ceba0f504eb5771b946ac3fcc6ea0ddb9f7f99c5d83749773e75e775"}