{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LVM7EVDYJG7PH4VS6Y6I6J3NVS","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":"4559e696d6144c1dce34f3fc775f25e56d64d2d15554569b4c90d90d391189a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-23T00:48:36Z","title_canon_sha256":"d7c732dccf16368acbf3bf615b6de556256838ca28c6a2f3e2b71af3517d31bf"},"schema_version":"1.0","source":{"id":"2605.24316","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.24316","created_at":"2026-05-26T01:02:59Z"},{"alias_kind":"arxiv_version","alias_value":"2605.24316v1","created_at":"2026-05-26T01:02:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.24316","created_at":"2026-05-26T01:02:59Z"},{"alias_kind":"pith_short_12","alias_value":"LVM7EVDYJG7P","created_at":"2026-05-26T01:02:59Z"},{"alias_kind":"pith_short_16","alias_value":"LVM7EVDYJG7PH4VS","created_at":"2026-05-26T01:02:59Z"},{"alias_kind":"pith_short_8","alias_value":"LVM7EVDY","created_at":"2026-05-26T01:02:59Z"}],"graph_snapshots":[{"event_id":"sha256:115e3a791534fde6db126d8f3e67be9cf3844ca0af0f256060dd6c3591bf1b5f","target":"graph","created_at":"2026-05-26T01:02:59Z","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/2605.24316/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Scaling laws provide compact descriptions of how prediction error varies with compute, model size, and data, but existing theory mainly treats single-sample SGD or full data reuse, leaving the role of mini-batching unclear. We study batch scaling laws for sketched linear regression under a power-law covariance spectrum and a source condition on the target parameter. We analyze one-pass batch SGD, multi-pass batch SGD with replacement, and multi-pass batch SGD without replacement. Our first result is a risk decomposition: all three procedures share the same irreducible and approximation terms, ","authors_text":"Ding-Xuan Zhou, Ziyan Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-23T00:48:36Z","title":"From One-Pass SGD to Data Reuse: Mini-Batch Scaling Laws in Sketched Linear Regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.24316","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":"sha256:2069106148b0427493de39d95f8d3780a715ac4727d39e6ff364b6fd8f17796e","target":"record","created_at":"2026-05-26T01:02:59Z","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":"4559e696d6144c1dce34f3fc775f25e56d64d2d15554569b4c90d90d391189a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-23T00:48:36Z","title_canon_sha256":"d7c732dccf16368acbf3bf615b6de556256838ca28c6a2f3e2b71af3517d31bf"},"schema_version":"1.0","source":{"id":"2605.24316","kind":"arxiv","version":1}},"canonical_sha256":"5d59f2547849bef3f2b2f63c8f276dac8c65e4e161469e965894f583b49bb334","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d59f2547849bef3f2b2f63c8f276dac8c65e4e161469e965894f583b49bb334","first_computed_at":"2026-05-26T01:02:59.376429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:02:59.376429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4LKW2tOAKKcd9jCu7MU/icjSs8EBhIcdr94LH9sgAuXFE3A24cJzayrV4z+Ie5gjlJUdpul2JqmfMvoxjf/ABg==","signature_status":"signed_v1","signed_at":"2026-05-26T01:02:59.377186Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.24316","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2069106148b0427493de39d95f8d3780a715ac4727d39e6ff364b6fd8f17796e","sha256:115e3a791534fde6db126d8f3e67be9cf3844ca0af0f256060dd6c3591bf1b5f"],"state_sha256":"41d8b0ff200689dbe2e4cda4645f7ae457853fdd79ab73a77050f3da856b90d8"}