{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:6HKDKULJXEDCV4WUU57J2OJJBB","short_pith_number":"pith:6HKDKULJ","canonical_record":{"source":{"id":"2002.09526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-21T19:42:18Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"31e8e99dbf615c19193de7b6612a8a48bbcb7597ee21fb28e7ca4df74f98fa9f","abstract_canon_sha256":"919ae3dfef0aabcf27d6244c05d85a490ccfa8b3925445ab2229732e780cb06e"},"schema_version":"1.0"},"canonical_sha256":"f1d4355169b9062af2d4a77e9d392908702386e7181fdcdbd0d0c88dad9643ae","source":{"kind":"arxiv","id":"2002.09526","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.09526","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"arxiv_version","alias_value":"2002.09526v1","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.09526","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"pith_short_12","alias_value":"6HKDKULJXEDC","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"pith_short_16","alias_value":"6HKDKULJXEDCV4WU","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"pith_short_8","alias_value":"6HKDKULJ","created_at":"2026-07-05T00:43:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:6HKDKULJXEDCV4WUU57J2OJJBB","target":"record","payload":{"canonical_record":{"source":{"id":"2002.09526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-21T19:42:18Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"31e8e99dbf615c19193de7b6612a8a48bbcb7597ee21fb28e7ca4df74f98fa9f","abstract_canon_sha256":"919ae3dfef0aabcf27d6244c05d85a490ccfa8b3925445ab2229732e780cb06e"},"schema_version":"1.0"},"canonical_sha256":"f1d4355169b9062af2d4a77e9d392908702386e7181fdcdbd0d0c88dad9643ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:43:08.676308Z","signature_b64":"LUkRSoQueYC39uy8gQAZxnJtJ+ShZ0xEl6mt0V5WVbvwaaLe9V7EG13pWHFCvgKQrd5YwKI+sad6YqBNUh36Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1d4355169b9062af2d4a77e9d392908702386e7181fdcdbd0d0c88dad9643ae","last_reissued_at":"2026-07-05T00:43:08.675841Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:43:08.675841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2002.09526","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:43:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Ot2fjgDzYl2d12wUuiAjepnMXiOK3fQLa1ydDfOcj8dY2bD3VjYdOc1tV/1tzSxXR0PYX3mIsGkQAR443bwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T05:40:30.698941Z"},"content_sha256":"4d0e5280880cad5a0eab7853fbed108546022dfaae8478a83e8c8f3f5f53f9f5","schema_version":"1.0","event_id":"sha256:4d0e5280880cad5a0eab7853fbed108546022dfaae8478a83e8c8f3f5f53f9f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:6HKDKULJXEDCV4WUU57J2OJJBB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Subspace Cubic Newton Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"math.OC","authors_text":"Filip Hanzely, Nikita Doikov, Peter Richt\\'arik, Yurii Nesterov","submitted_at":"2020-02-21T19:42:18Z","abstract_excerpt":"In this paper, we propose a new randomized second-order optimization algorithm---Stochastic Subspace Cubic Newton (SSCN)---for minimizing a high dimensional convex function $f$. Our method can be seen both as a {\\em stochastic} extension of the cubically-regularized Newton method of Nesterov and Polyak (2006), and a {\\em second-order} enhancement of stochastic subspace descent of Kozak et al. (2019). We prove that as we vary the minibatch size, the global convergence rate of SSCN interpolates between the rate of stochastic coordinate descent (CD) and the rate of cubic regularized Newton, thus "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.09526","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2002.09526/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:43:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/9jxYqDL6OpQBON+UY3ZWV+n/YsUjCvsBqjLLA5dpDi1k/NTg+E2mCht2tvqvrK21B7RfOnZtZr5Y/oszwYbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T05:40:30.699537Z"},"content_sha256":"6862c7ee8540d60c7aecb963af704c50701616c6a8c39b87ff161e75ff167aad","schema_version":"1.0","event_id":"sha256:6862c7ee8540d60c7aecb963af704c50701616c6a8c39b87ff161e75ff167aad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6HKDKULJXEDCV4WUU57J2OJJBB/bundle.json","state_url":"https://pith.science/pith/6HKDKULJXEDCV4WUU57J2OJJBB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6HKDKULJXEDCV4WUU57J2OJJBB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-22T05:40:30Z","links":{"resolver":"https://pith.science/pith/6HKDKULJXEDCV4WUU57J2OJJBB","bundle":"https://pith.science/pith/6HKDKULJXEDCV4WUU57J2OJJBB/bundle.json","state":"https://pith.science/pith/6HKDKULJXEDCV4WUU57J2OJJBB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6HKDKULJXEDCV4WUU57J2OJJBB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:6HKDKULJXEDCV4WUU57J2OJJBB","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":"919ae3dfef0aabcf27d6244c05d85a490ccfa8b3925445ab2229732e780cb06e","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-21T19:42:18Z","title_canon_sha256":"31e8e99dbf615c19193de7b6612a8a48bbcb7597ee21fb28e7ca4df74f98fa9f"},"schema_version":"1.0","source":{"id":"2002.09526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.09526","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"arxiv_version","alias_value":"2002.09526v1","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.09526","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"pith_short_12","alias_value":"6HKDKULJXEDC","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"pith_short_16","alias_value":"6HKDKULJXEDCV4WU","created_at":"2026-07-05T00:43:08Z"},{"alias_kind":"pith_short_8","alias_value":"6HKDKULJ","created_at":"2026-07-05T00:43:08Z"}],"graph_snapshots":[{"event_id":"sha256:6862c7ee8540d60c7aecb963af704c50701616c6a8c39b87ff161e75ff167aad","target":"graph","created_at":"2026-07-05T00:43:08Z","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/2002.09526/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose a new randomized second-order optimization algorithm---Stochastic Subspace Cubic Newton (SSCN)---for minimizing a high dimensional convex function $f$. Our method can be seen both as a {\\em stochastic} extension of the cubically-regularized Newton method of Nesterov and Polyak (2006), and a {\\em second-order} enhancement of stochastic subspace descent of Kozak et al. (2019). We prove that as we vary the minibatch size, the global convergence rate of SSCN interpolates between the rate of stochastic coordinate descent (CD) and the rate of cubic regularized Newton, thus ","authors_text":"Filip Hanzely, Nikita Doikov, Peter Richt\\'arik, Yurii Nesterov","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-21T19:42:18Z","title":"Stochastic Subspace Cubic Newton Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.09526","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":"sha256:4d0e5280880cad5a0eab7853fbed108546022dfaae8478a83e8c8f3f5f53f9f5","target":"record","created_at":"2026-07-05T00:43:08Z","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":"919ae3dfef0aabcf27d6244c05d85a490ccfa8b3925445ab2229732e780cb06e","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-21T19:42:18Z","title_canon_sha256":"31e8e99dbf615c19193de7b6612a8a48bbcb7597ee21fb28e7ca4df74f98fa9f"},"schema_version":"1.0","source":{"id":"2002.09526","kind":"arxiv","version":1}},"canonical_sha256":"f1d4355169b9062af2d4a77e9d392908702386e7181fdcdbd0d0c88dad9643ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1d4355169b9062af2d4a77e9d392908702386e7181fdcdbd0d0c88dad9643ae","first_computed_at":"2026-07-05T00:43:08.675841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:43:08.675841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LUkRSoQueYC39uy8gQAZxnJtJ+ShZ0xEl6mt0V5WVbvwaaLe9V7EG13pWHFCvgKQrd5YwKI+sad6YqBNUh36Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T00:43:08.676308Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.09526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d0e5280880cad5a0eab7853fbed108546022dfaae8478a83e8c8f3f5f53f9f5","sha256:6862c7ee8540d60c7aecb963af704c50701616c6a8c39b87ff161e75ff167aad"],"state_sha256":"d1a67762b49ca5d15f1071a9d9d1fd7efc03cd8cb95152e9635a08512eb061ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TrkyhjKcG4l3WBMmoxDjk0/kJkiI/Z9zWLPjN/sfItEU2pyN7k72aJ/3uf2Gk6R/J7ApuqzMTLpEFlTcjwjiBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T05:40:30.704746Z","bundle_sha256":"110e9c55392f98e3983a013137f902d7995503e270242921842f8d878a042a9b"}}