Pith Number

pith:B3XVLFOH

pith:2024:B3XVLFOHVLBZD3UL3BL6FES6IK

not attested not anchored not stored refs pending

A New Perspective on Shampoo's Preconditioner

Depen Morwani, Eran Malach, Itai Shapira, Lucas Janson, Nikhil Vyas, Sham Kakade

arxiv:2406.17748 v1 · 2024-06-25 · cs.LG · 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{B3XVLFOHVLBZD3UL3BL6FES6IK}

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.

Cited by

4 papers in Pith

Why Muon Outperforms Adam: A Curvature Perspective

On the Convergence Analysis of Muon

Old Optimizer, New Norm: An Anthology

Pro-KLShampoo: Projected KL-Shampoo with Whitening Recovered by Orthogonalization

Receipt and verification

First computed	2026-07-05T08:36:39.452445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eef5595c7aac391ee8bd857e2925e42a0678aa71cf54ed7b6b8ba09fc4505ab

Aliases

arxiv: 2406.17748 · arxiv_version: 2406.17748v1 · doi: 10.48550/arxiv.2406.17748 · pith_short_12: B3XVLFOHVLBZ · pith_short_16: B3XVLFOHVLBZD3UL · pith_short_8: B3XVLFOH

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/B3XVLFOHVLBZD3UL3BL6FES6IK \
  | 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: 0eef5595c7aac391ee8bd857e2925e42a0678aa71cf54ed7b6b8ba09fc4505ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae43c3b17984db9064d2b597d859519f2c990daee0929643e00930989a3d822",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-06-25T17:34:51Z",
    "title_canon_sha256": "72f2007d57a19c9b262655bfcf6ebfadeeb8c127d45f5b3f2bb034cd7a1a6ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.17748",
    "kind": "arxiv",
    "version": 1
  }
}