{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IMD7S2TI3C4XFVBAN7MFF4D63B","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":"3a0200584dc2f5d2fc81176a08975c1a536c5971f4b6e6a0f199fba3496d270b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-05-14T13:09:48Z","title_canon_sha256":"60dfb5a636ddb16a2f3f2765d2f488827bc92b8bf63eeb733f57014ff2247dff"},"schema_version":"1.0","source":{"id":"2605.14800","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.14800","created_at":"2026-05-17T23:38:58Z"},{"alias_kind":"arxiv_version","alias_value":"2605.14800v1","created_at":"2026-05-17T23:38:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14800","created_at":"2026-05-17T23:38:58Z"},{"alias_kind":"pith_short_12","alias_value":"IMD7S2TI3C4X","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"IMD7S2TI3C4XFVBA","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"IMD7S2TI","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:8e4d92637c51930e7d01890e0068d7eada02f6fdbe108da606d70af4a1a42219","target":"graph","created_at":"2026-05-17T23:38:58Z","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":"Modern machine learning is dominated by complex, overparameterized architectures capable of interpolating data and achieving zero training loss. For such models, we investigate the convergence properties of two popular modifications to standard SGD: clipped SGD and normalized SGD. We show that under overparameterization and a mild assumption on batch size, both clipped and normalized SGD do not suffer from the bias typically introduced by clipping, converging effectively at the same rate as their deterministic counterparts. This provides a rigorous theoretical justification for the empirical s","authors_text":"Aleksandr Lobanov, Anastasia Koloskova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-05-14T13:09:48Z","title":"Avoiding Bias in Clipped SGD for Overparameterized Models under Generalized Smoothness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.14800","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:bd13448f46b642d21ad62b20a1b2e5c5414f1313e5786ee4cd2029bb7445961a","target":"record","created_at":"2026-05-17T23:38:58Z","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":"3a0200584dc2f5d2fc81176a08975c1a536c5971f4b6e6a0f199fba3496d270b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-05-14T13:09:48Z","title_canon_sha256":"60dfb5a636ddb16a2f3f2765d2f488827bc92b8bf63eeb733f57014ff2247dff"},"schema_version":"1.0","source":{"id":"2605.14800","kind":"arxiv","version":1}},"canonical_sha256":"4307f96a68d8b972d4206fd852f07ed85f02a6a963cd5ef10a2af34a491c0723","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4307f96a68d8b972d4206fd852f07ed85f02a6a963cd5ef10a2af34a491c0723","first_computed_at":"2026-05-17T23:38:58.366288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:38:58.366288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EMdperZ3KCVG5VY1nL+4bon/S3yk3NYOdqgXk9K7rR0NpxW0vjwXGMUa0MZhBPqRsrnT7cHel3uaJs+vvCQ9Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:38:58.367024Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.14800","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd13448f46b642d21ad62b20a1b2e5c5414f1313e5786ee4cd2029bb7445961a","sha256:8e4d92637c51930e7d01890e0068d7eada02f6fdbe108da606d70af4a1a42219"],"state_sha256":"335f112f7d92a678f912d2ce69d291f486fd0fd4728e795d5e46e39b7639f92b"}