Pith Number

pith:IPUKQ7MF

pith:2026:IPUKQ7MFSRG7C7BBSXWVWN6SZL

not attested not anchored not stored refs pending

Correcting Stochastic Update Bias in Preconditioned Language Model Optimizers

Ash Lewis, Dhruv Atreja, George Hurn-Maloney, Henrijs Princis, Henry Fawcett, Julia White, Kelton Zhang, Matthew Thomas, Nikhil Nayak, Urchade Zaratiana

arxiv:2605.20756 v1 · 2026-05-20 · cs.LG · cs.AI · math.OC · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPUKQ7MFSRG7C7BBSXWVWN6SZL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-21T01:04:52.690570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e8a87d85944df17c2195ed5b37d2cad97fb1699dc81de679ade54892a43dce

Aliases

arxiv: 2605.20756 · arxiv_version: 2605.20756v1 · doi: 10.48550/arxiv.2605.20756 · pith_short_12: IPUKQ7MFSRG7 · pith_short_16: IPUKQ7MFSRG7C7BB · pith_short_8: IPUKQ7MF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IPUKQ7MFSRG7C7BBSXWVWN6SZL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 43e8a87d85944df17c2195ed5b37d2cad97fb1699dc81de679ade54892a43dce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbe21564420360e0a9b798548aa8af4993184b5de5611a3f8b19524ba8d4799",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-20T05:54:24Z",
    "title_canon_sha256": "250eb6b4c8673dd131d5808b0e4d1d8f8b79b3727a80d295f55ea0c20c44dd57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20756",
    "kind": "arxiv",
    "version": 1
  }
}