{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YE5VYCFJX7YKPYV7SZPSUJUNXV","short_pith_number":"pith:YE5VYCFJ","canonical_record":{"source":{"id":"2601.07545","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-01-12T13:50:15Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"d9f814faef3b1f32853169f268666f48e1f6c5ca7a44ceab49155ef32d0e901d","abstract_canon_sha256":"b32d2e341a81a6dd053284cbebbfdd9ba6bc51fc2227c2b28c296e5a81e178a8"},"schema_version":"1.0"},"canonical_sha256":"c13b5c08a9bff0a7e2bf965f2a268dbd55d0b179b61b70a49d6dcc5df8ac85ea","source":{"kind":"arxiv","id":"2601.07545","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.07545","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"2601.07545v2","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.07545","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"YE5VYCFJX7YK","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"pith_short_16","alias_value":"YE5VYCFJX7YKPYV7","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"pith_short_8","alias_value":"YE5VYCFJ","created_at":"2026-05-25T02:01:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YE5VYCFJX7YKPYV7SZPSUJUNXV","target":"record","payload":{"canonical_record":{"source":{"id":"2601.07545","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-01-12T13:50:15Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"d9f814faef3b1f32853169f268666f48e1f6c5ca7a44ceab49155ef32d0e901d","abstract_canon_sha256":"b32d2e341a81a6dd053284cbebbfdd9ba6bc51fc2227c2b28c296e5a81e178a8"},"schema_version":"1.0"},"canonical_sha256":"c13b5c08a9bff0a7e2bf965f2a268dbd55d0b179b61b70a49d6dcc5df8ac85ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:11.853701Z","signature_b64":"Xg328zwiuWOhACOfblWHJ0lJ+mBktWMQ16pNrLGbTm9HlRIh8Xxn+L4VrNk+tDnUHR2gr9bbtNV4J9x5V62UDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c13b5c08a9bff0a7e2bf965f2a268dbd55d0b179b61b70a49d6dcc5df8ac85ea","last_reissued_at":"2026-05-25T02:01:11.852878Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:11.852878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.07545","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-25T02:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xQM1vbsQ9DLlzxYO6iDflaN0dbk39sfB+IQj4PRqG1qNnsoqydfblN8RhzytOyyL7Mc2vOxAr6q8fZYgqcAuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T13:41:08.916568Z"},"content_sha256":"217878d146f1de66ca39ce08338cda527903a0d458e476d5d328887643e1d26a","schema_version":"1.0","event_id":"sha256:217878d146f1de66ca39ce08338cda527903a0d458e476d5d328887643e1d26a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YE5VYCFJX7YKPYV7SZPSUJUNXV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Near-Optimal Private Linear Regression via Iterative Hessian Mixing","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Ashia C. Wilson, Katrina Ligett, Moshe Shenfeld, Omri Lev, Vishwak Srinivasan","submitted_at":"2026-01-12T13:50:15Z","abstract_excerpt":"We study differentially private ordinary least squares (DP-OLS) with bounded data $(X,Y)$ via sketching-based mechanisms. While Gaussian sketching approaches have been explored for DP-OLS \\citep{sheffet2017differentially}, they are typically viewed as less competitive than the Adaptive Sufficient Statistics Perturbation (AdaSSP) method \\citep{wang_adassp}, which directly perturbs the sufficient statistics $(X^{\\top}X, X^{\\top}Y)$. This method was shown to be close to information-theoretically optimal, while also exhibiting strong empirical performance. In this work, we propose the \\emph{Iterat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.07545","kind":"arxiv","version":2},"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/2601.07545/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":"2026-05-25T02:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7f6lyqyw/7NmCIvOY7Y4wc7MBjAAgPZSmb6/zNXkN4UtU0hksucTr+4XZcjX7WQ6zwzyY7Sv/vPU/wnNs0wWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T13:41:08.916950Z"},"content_sha256":"ca8ec3b0ee5d663eec85ee4793128a315a9e4d3b18202b4f9b8e48d119da7a81","schema_version":"1.0","event_id":"sha256:ca8ec3b0ee5d663eec85ee4793128a315a9e4d3b18202b4f9b8e48d119da7a81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YE5VYCFJX7YKPYV7SZPSUJUNXV/bundle.json","state_url":"https://pith.science/pith/YE5VYCFJX7YKPYV7SZPSUJUNXV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YE5VYCFJX7YKPYV7SZPSUJUNXV/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":"2026-06-25T13:41:08Z","links":{"resolver":"https://pith.science/pith/YE5VYCFJX7YKPYV7SZPSUJUNXV","bundle":"https://pith.science/pith/YE5VYCFJX7YKPYV7SZPSUJUNXV/bundle.json","state":"https://pith.science/pith/YE5VYCFJX7YKPYV7SZPSUJUNXV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YE5VYCFJX7YKPYV7SZPSUJUNXV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YE5VYCFJX7YKPYV7SZPSUJUNXV","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":"b32d2e341a81a6dd053284cbebbfdd9ba6bc51fc2227c2b28c296e5a81e178a8","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-01-12T13:50:15Z","title_canon_sha256":"d9f814faef3b1f32853169f268666f48e1f6c5ca7a44ceab49155ef32d0e901d"},"schema_version":"1.0","source":{"id":"2601.07545","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.07545","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"2601.07545v2","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.07545","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"YE5VYCFJX7YK","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"pith_short_16","alias_value":"YE5VYCFJX7YKPYV7","created_at":"2026-05-25T02:01:11Z"},{"alias_kind":"pith_short_8","alias_value":"YE5VYCFJ","created_at":"2026-05-25T02:01:11Z"}],"graph_snapshots":[{"event_id":"sha256:ca8ec3b0ee5d663eec85ee4793128a315a9e4d3b18202b4f9b8e48d119da7a81","target":"graph","created_at":"2026-05-25T02:01:11Z","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/2601.07545/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study differentially private ordinary least squares (DP-OLS) with bounded data $(X,Y)$ via sketching-based mechanisms. While Gaussian sketching approaches have been explored for DP-OLS \\citep{sheffet2017differentially}, they are typically viewed as less competitive than the Adaptive Sufficient Statistics Perturbation (AdaSSP) method \\citep{wang_adassp}, which directly perturbs the sufficient statistics $(X^{\\top}X, X^{\\top}Y)$. This method was shown to be close to information-theoretically optimal, while also exhibiting strong empirical performance. In this work, we propose the \\emph{Iterat","authors_text":"Ashia C. Wilson, Katrina Ligett, Moshe Shenfeld, Omri Lev, Vishwak Srinivasan","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-01-12T13:50:15Z","title":"Near-Optimal Private Linear Regression via Iterative Hessian Mixing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.07545","kind":"arxiv","version":2},"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":"sha256:217878d146f1de66ca39ce08338cda527903a0d458e476d5d328887643e1d26a","target":"record","created_at":"2026-05-25T02:01:11Z","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":"b32d2e341a81a6dd053284cbebbfdd9ba6bc51fc2227c2b28c296e5a81e178a8","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-01-12T13:50:15Z","title_canon_sha256":"d9f814faef3b1f32853169f268666f48e1f6c5ca7a44ceab49155ef32d0e901d"},"schema_version":"1.0","source":{"id":"2601.07545","kind":"arxiv","version":2}},"canonical_sha256":"c13b5c08a9bff0a7e2bf965f2a268dbd55d0b179b61b70a49d6dcc5df8ac85ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c13b5c08a9bff0a7e2bf965f2a268dbd55d0b179b61b70a49d6dcc5df8ac85ea","first_computed_at":"2026-05-25T02:01:11.852878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:11.852878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xg328zwiuWOhACOfblWHJ0lJ+mBktWMQ16pNrLGbTm9HlRIh8Xxn+L4VrNk+tDnUHR2gr9bbtNV4J9x5V62UDA==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:11.853701Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.07545","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:217878d146f1de66ca39ce08338cda527903a0d458e476d5d328887643e1d26a","sha256:ca8ec3b0ee5d663eec85ee4793128a315a9e4d3b18202b4f9b8e48d119da7a81"],"state_sha256":"6e8a450c968e34be34b57912edb7cd0113fec3437c26f9e3b2d8e7e5cf60ce83"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6alhzp7WlA/EUNWsUhnfISINXtmNF1Cd50voTPSOVGTNidRAVdhunykppY9QicwwIZNhSVXXkvV1/dYVMU9mAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T13:41:08.919418Z","bundle_sha256":"67b884428b3a624a1a2514f60c7b774f73cbcbee9e3fccce2bb216d9c2cfa680"}}