Pith Number

pith:HA5XVOEF

pith:2025:HA5XVOEFS7OGRSA6GC2WONPP5L

not attested not anchored not stored refs pending

Practical Efficiency of Muon for Pretraining

Adarsh Chaluvaraju, Andrew Hojel, Andrew Ma, Anil Thomas, Anthony M. Polloreno, Ashish Tanwer, Ashish Vaswani, Darsh J Shah, Essential AI: Ishaan Shah, Karl Stratos, Khoi Nguyen, Kurt Smith, Michael Callahan, Michael Pust, Mohit Parmar, Peter Rushton, Philip Monk, Platon Mazarakis, Ritvik Kapila, Saurabh Srivastava, Somanshu Singla, Tim Romanski, Yash Vanjani

arxiv:2505.02222 v4 · 2025-05-04 · cs.LG · 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{HA5XVOEFS7OGRSA6GC2WONPP5L}

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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

20 papers in Pith

Open Problem: Is AdamW Effective Under Heavy-Tailed Noise?

Towards Understanding the Power and Limits of the Muon Optimizer: A River-Valley Perspective

How to Allocate Your Tokens? Scaling Laws with Training Steps and Batch Size

Muon Learns More Robust and Transferable Features than Adam

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality

Receipt and verification

First computed	2026-07-05T11:05:43.778023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

383b7ab88597dc68c81e30b56735efeadf2f96ef5a0d5ec3c8965779973a4e73

Aliases

arxiv: 2505.02222 · arxiv_version: 2505.02222v4 · doi: 10.48550/arxiv.2505.02222 · pith_short_12: HA5XVOEFS7OG · pith_short_16: HA5XVOEFS7OGRSA6 · pith_short_8: HA5XVOEF

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/HA5XVOEFS7OGRSA6GC2WONPP5L \
  | 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: 383b7ab88597dc68c81e30b56735efeadf2f96ef5a0d5ec3c8965779973a4e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d3d8a263be5cf636cf709b1318f37eb7dd5aab024777b8bef9f998551496c8",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-04T19:14:43Z",
    "title_canon_sha256": "225355c010c0ea7a454a71167f030d5ce1477f0ae8bd5d012da4e130e5c59225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02222",
    "kind": "arxiv",
    "version": 4
  }
}