Pith Number

pith:FUOBIBQT

pith:2025:FUOBIBQTY3LQWF664ALUXCQMZZ

not attested not anchored not stored refs pending

The Sharpness Disparity Principle in Transformers for Accelerating Language Model Pre-Training

Jinbo Wang, Junchi Yan, Lei Wu, Mingze Wang, Weinan E, Zhanpeng Zhou

arxiv:2502.19002 v2 · 2025-02-26 · 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{FUOBIBQTY3LQWF664ALUXCQMZZ}

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

7 papers in Pith

Why Muon Outperforms Adam: A Curvature Perspective

FOAM: Frequency and Operator Error-Based Adaptive Damping Method for Reducing Staleness-Oriented Error for Shampoo

One LR Doesn't Fit All: Heavy-Tail Guided Layerwise Learning Rates for LLMs

HTMuon: Improving Muon via Heavy-Tailed Spectral Correction

One LR Doesn't Fit All: Heavy-Tail Guided Layerwise Learning Rates for LLMs

Receipt and verification

First computed	2026-07-05T11:20:51.213430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d1c140613c6d70b17dee0174b8a0cce785c95d679b6c6cfd2b3629e9f821f24

Aliases

arxiv: 2502.19002 · arxiv_version: 2502.19002v2 · doi: 10.48550/arxiv.2502.19002 · pith_short_12: FUOBIBQTY3LQ · pith_short_16: FUOBIBQTY3LQWF66 · pith_short_8: FUOBIBQT

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/FUOBIBQTY3LQWF664ALUXCQMZZ \
  | 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: 2d1c140613c6d70b17dee0174b8a0cce785c95d679b6c6cfd2b3629e9f821f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38ccb565f8589f7b01bd058cb1f495187ce6b7f82bc5e86749732cc303600bb",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-26T10:06:37Z",
    "title_canon_sha256": "f52c51631746ebef814a84733e543ce62fb04f61c99b7810860afd17f5f8c0b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.19002",
    "kind": "arxiv",
    "version": 2
  }
}