Pith Number

pith:RL3ZAZYH

pith:2024:RL3ZAZYHLSMKEPYNYYQRQUTJT5

not attested not anchored not stored refs pending

Scaling Exponents Across Parameterizations and Optimizers

Alexander A. Alemi, Izzeddin Gur, Jaehoon Lee, Jascha Sohl-Dickstein, Jeffrey Pennington, Katie Everett, Lechao Xiao, Leslie Pack Kaelbling, Mitchell Wortsman, Peter J. Liu, Roman Novak

arxiv:2407.05872 v2 · 2024-07-08 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RL3ZAZYHLSMKEPYNYYQRQUTJT5}

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

13 papers in Pith

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors

Statistical Properties of Training & Generalization

GWT: Scalable Optimizer State Compression for Large Language Model Training

Two-Point Deterministic Equivalence for Stochastic Gradient Dynamics in Linear Models

Receipt and verification

First computed	2026-07-05T08:44:39.244004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8af79067075c98a23f0dc6211852699f6e25ad98824c1c3dde95129be67c7774

Aliases

arxiv: 2407.05872 · arxiv_version: 2407.05872v2 · doi: 10.48550/arxiv.2407.05872 · pith_short_12: RL3ZAZYHLSMK · pith_short_16: RL3ZAZYHLSMKEPYN · pith_short_8: RL3ZAZYH

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/RL3ZAZYHLSMKEPYNYYQRQUTJT5 \
  | 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: 8af79067075c98a23f0dc6211852699f6e25ad98824c1c3dde95129be67c7774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4e1f581a05c43e2d00a650d774de1494a1b44f3f03b8fe59866b844bd859a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-07-08T12:32:51Z",
    "title_canon_sha256": "476e1a11fd78f642353fad8096a6739d1b0bcca7100d47088cbc587c4a96f0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.05872",
    "kind": "arxiv",
    "version": 2
  }
}