Pith Number

pith:NYJPOMCY

pith:2026:NYJPOMCYKXAAR7PV3SNICJOQ5Z

not attested not anchored not stored refs pending

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models

Feihu Huang, Songcan Chen, Yuning Luo

arxiv:2605.19619 v1 · 2026-05-19 · cs.LG · cs.AI · math.OC · 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{NYJPOMCYKXAAR7PV3SNICJOQ5Z}

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	2026-05-20T01:05:54.534806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e12f7305855c008fdf5dc9a8125d0ee6876b6f58555da2e1fd58b34620e6090

Aliases

arxiv: 2605.19619 · arxiv_version: 2605.19619v1 · doi: 10.48550/arxiv.2605.19619 · pith_short_12: NYJPOMCYKXAA · pith_short_16: NYJPOMCYKXAAR7PV · pith_short_8: NYJPOMCY

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/NYJPOMCYKXAAR7PV3SNICJOQ5Z \
  | 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: 6e12f7305855c008fdf5dc9a8125d0ee6876b6f58555da2e1fd58b34620e6090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeaad9eae53ac5af0e72e40645e1e8714cda047235279cbb349a76ba94ab4277",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-19T09:56:27Z",
    "title_canon_sha256": "43cc75cbe9d6ce3706d06a5d3ad6ccad5d3b0a47e61cfdf0425097aa5c91486a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19619",
    "kind": "arxiv",
    "version": 1
  }
}