{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B7SYOQL6UXRW6BSC73VFYJTNPF","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":"52c156f2c5ebaab3b6ad570f44886403a4ba9444b74b296a8b7a424dd0df5d02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-02-01T17:05:12Z","title_canon_sha256":"70fed9593197f2f27469f2c8892c47afe495ea9e5b6cf29e3f38f909e5bc76b5"},"schema_version":"1.0","source":{"id":"1602.00594","kind":"arxiv","version":8}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.00594","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"arxiv_version","alias_value":"1602.00594v8","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00594","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"pith_short_12","alias_value":"B7SYOQL6UXRW","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B7SYOQL6UXRW6BSC","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B7SYOQL6","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:4312af4e3d8b1c0a61674f21b94c33a5e8cd3fa92e0957c07d1882830d82ce30","target":"graph","created_at":"2026-05-18T00:55:28Z","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 investigate different randomizations for mirror descent method. We try to propose such a randomization that allows us to use sparsity of the problem as much as it possible. In the paper one can also find a generalization of randomizaed mirror descent for the convex optimization problems with functional restrictions.","authors_text":"Alexander Gasnikov, Alexander Gornov, Anton Anikin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-02-01T17:05:12Z","title":"Randomization and sparsity in huge-scale optimization on the Mirror Descent example"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00594","kind":"arxiv","version":8},"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:c839c49d9f17dfd8f07ef4c121e4d4b67cc0d44e04c498ce402f7d071b633877","target":"record","created_at":"2026-05-18T00:55:28Z","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":"52c156f2c5ebaab3b6ad570f44886403a4ba9444b74b296a8b7a424dd0df5d02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-02-01T17:05:12Z","title_canon_sha256":"70fed9593197f2f27469f2c8892c47afe495ea9e5b6cf29e3f38f909e5bc76b5"},"schema_version":"1.0","source":{"id":"1602.00594","kind":"arxiv","version":8}},"canonical_sha256":"0fe587417ea5e36f0642feea5c266d7942934f8f06e2a0a4acaebe3f43f8f4fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fe587417ea5e36f0642feea5c266d7942934f8f06e2a0a4acaebe3f43f8f4fb","first_computed_at":"2026-05-18T00:55:28.585697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:28.585697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rSKjdLTA5nBc55zxsH95WCG9IByYZ79SJrZV+Tww9aMq9MxVyfKbxXhhwGtf1BgCkTbNVQXzFm2PIK40D4nBDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:28.586464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.00594","source_kind":"arxiv","source_version":8}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c839c49d9f17dfd8f07ef4c121e4d4b67cc0d44e04c498ce402f7d071b633877","sha256:4312af4e3d8b1c0a61674f21b94c33a5e8cd3fa92e0957c07d1882830d82ce30"],"state_sha256":"521e68e79a4f94953bedff75be38c4bbd9f047de7ffe3f2e90c04397ef46ca05"}