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In the convex setting, the resulting sample complexity matches the classical rate of stochastic mirror descent under i.i.d. noise.","weakest_assumption":"The Markov chain generated by the iterate-dependent sampling distribution satisfies sufficient mixing or ergodicity conditions that allow the bias and temporal dependence to be controlled; this property is invoked to justify the almost-sure convergence but is not stated explicitly in the abstract."}},"verdict_id":"660d5c2a-3283-4535-8109-ca21d43f604c"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b644613e5be546e262b2f27e073ae165f5bca16a165d9db5be6204d1e0601c11","target":"record","created_at":"2026-05-20T00:01:04Z","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":"a5f02d6570eff0977d4f0b36095950c65fbb18585a93a126fee1ccb2a51900db","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-05-15T02:19:06Z","title_canon_sha256":"96621135131e6eeca8fdf69e3579ccaa2aed421dbe318c36a1753dc0674417e6"},"schema_version":"1.0","source":{"id":"2605.15538","kind":"arxiv","version":1}},"canonical_sha256":"589f61170c2cac974d5b6f50aec8a20d133365bebeda45a712f2ec62217aa58b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"589f61170c2cac974d5b6f50aec8a20d133365bebeda45a712f2ec62217aa58b","first_computed_at":"2026-05-20T00:01:04.165630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:04.165630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WwRE6q+lI4lW/X2JRIoYJPf8z2rNmNS8hXeP0f53jhX+1Re3KrXzsWLmKOR9gMuIlTPCfPDF7C0oDPO7gmzpBg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:04.166432Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15538","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b644613e5be546e262b2f27e073ae165f5bca16a165d9db5be6204d1e0601c11","sha256:4ccf944d70b8e5b41a2fe084dc12aec5838ef183cb0b2d37b50588a87f163008"],"state_sha256":"8dfebff4f0f7d93ba249d117aabb3d241f23fd55b3d66b2997fb25ccf7c31977"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NTXws3IhwFPV8HyIKGPWm4ayP1RvrdbzbRcXkb4HTzvWcyBGg78ALSU5mHc8SFPqHgb8kLUhJuxeaohLYyBYBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T11:09:39.182073Z","bundle_sha256":"8a3d2a101bda95b979d3d6d1bf0445f538920092b1be60f86b2a850f846c44b6"}}