Pith Number

pith:CCU6BTQW

pith:2025:CCU6BTQWUHJ4NNUWBN6MXGXRVD

not attested not anchored not stored refs pending

MuLoCo: Muon is a practical inner optimizer for DiLoCo

Aaron Defazio, Benjamin Th\'erien, Eugene Belilovsky, Irina Rish, Xiaolong Huang

arxiv:2505.23725 v3 · 2025-05-29 · 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{CCU6BTQWUHJ4NNUWBN6MXGXRVD}

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

3 papers in Pith

MuonEq: Balancing Before Orthogonalization with Lightweight Equilibration

Communication-Efficient Gluon in Federated Learning

Decoupled DiLoCo for Resilient Distributed Pre-training

Receipt and verification

First computed	2026-06-03T01:05:04.557791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a9e0ce16a1d3c6b6960b7ccb9af1a8d5aa8ef792845d22546a73ba524bb63b

Aliases

arxiv: 2505.23725 · arxiv_version: 2505.23725v3 · doi: 10.48550/arxiv.2505.23725 · pith_short_12: CCU6BTQWUHJ4 · pith_short_16: CCU6BTQWUHJ4NNUW · pith_short_8: CCU6BTQW

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/CCU6BTQWUHJ4NNUWBN6MXGXRVD \
  | 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: 10a9e0ce16a1d3c6b6960b7ccb9af1a8d5aa8ef792845d22546a73ba524bb63b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fda863e203c38591fd51ace09a84c393a73e4f0ffee1b48712f0b3ac371d89",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-29T17:55:37Z",
    "title_canon_sha256": "0a11aafd19bbcda014f782f5cb47851b237835b4c03d40763a999f54ecccf550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23725",
    "kind": "arxiv",
    "version": 3
  }
}