Pith Number

pith:EZSQCAYV

pith:2026:EZSQCAYV435INYA6C2JUVPGWFC

not attested not anchored not stored refs pending

When Muon Optimizer Meets Adversarial Training: A Theoretical and Empirical Study

Chengliang Wu, Jiankai Zuo, Jun Yan, Weiquan Huang, Xi Fang, Yujian Mo, Zeming Wei

arxiv:2605.26929 v1 · 2026-05-26 · 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{EZSQCAYV435INYA6C2JUVPGWFC}

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	2026-05-27T01:06:20.467883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2665010315e6fa86e01e16934abcd6289603c42ffe6f5a7a0ef6cafe70a13099

Aliases

arxiv: 2605.26929 · arxiv_version: 2605.26929v1 · doi: 10.48550/arxiv.2605.26929 · pith_short_12: EZSQCAYV435I · pith_short_16: EZSQCAYV435INYA6 · pith_short_8: EZSQCAYV

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/EZSQCAYV435INYA6C2JUVPGWFC \
  | 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: 2665010315e6fa86e01e16934abcd6289603c42ffe6f5a7a0ef6cafe70a13099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "275a0510896942bdb3cf2ed9fbfb91b0d4150d4fc8a59a7cf8e9de1233f89569",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-26T12:24:04Z",
    "title_canon_sha256": "62a6aed349148ace3dc30346fe23eab5e234bdac8c0b0828d8ccaaa73a4f1729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26929",
    "kind": "arxiv",
    "version": 1
  }
}