Pith Number

pith:NGZMDLES

pith:2026:NGZMDLES3B5WNLPJP5BOEIOYQA

not attested not anchored not stored refs pending

DMuon: Efficient Distributed Muon Training with Near-Adam Overhead

Dance Yang, Hang Su, Hao Wang, Lucy Liang, Qian Wang, Regis Cheng, Roy Gan, Ryan Yu, Shalfun Li, Starrick Liu, Vincent Chen

arxiv:2606.27153 v1 · 2026-06-25 · cs.DC · 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{NGZMDLES3B5WNLPJP5BOEIOYQA}

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.

Receipt and verification

First computed	2026-06-26T01:16:11.679241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b2c1ac92d87b66ade97f42e221d8801319c7481cfb314b8e1db7c905b8ba6f

Aliases

arxiv: 2606.27153 · arxiv_version: 2606.27153v1 · doi: 10.48550/arxiv.2606.27153 · pith_short_12: NGZMDLES3B5W · pith_short_16: NGZMDLES3B5WNLPJ · pith_short_8: NGZMDLES

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/NGZMDLES3B5WNLPJP5BOEIOYQA \
  | 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: 69b2c1ac92d87b66ade97f42e221d8801319c7481cfb314b8e1db7c905b8ba6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6c9d78e65a3b25d3096380ca1364a24b182a705ca7f73a5b8aed06f6f01aa1",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2026-06-25T15:23:03Z",
    "title_canon_sha256": "299876e85b83daa8c6734d5ecc22ccee52522d0ec85983045a5fc0c2f67759ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27153",
    "kind": "arxiv",
    "version": 1
  }
}