Pith Number

pith:IUCW6OOQ

pith:2026:IUCW6OOQ5DMEJJTJYWQHWJ6IXB

not attested not anchored not stored refs pending

Muon in Vision Transformers: Optimizer-Recipe Interactions and Gradient Spectra

Ben S. Southworth, Daniel McBride, Eric C. Cyr, Shuai Jiang, Stephen Thomas

arxiv:2605.24770 v1 · 2026-05-23 · cs.LG · cs.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUCW6OOQ5DMEJJTJYWQHWJ6IXB}

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	2026-05-26T01:03:57.369629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45056f39d0e8d844a669c5a07b27c8b84bbebee54c14f323d74337f868ef59cd

Aliases

arxiv: 2605.24770 · arxiv_version: 2605.24770v1 · doi: 10.48550/arxiv.2605.24770 · pith_short_12: IUCW6OOQ5DME · pith_short_16: IUCW6OOQ5DMEJJTJ · pith_short_8: IUCW6OOQ

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/IUCW6OOQ5DMEJJTJYWQHWJ6IXB \
  | 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: 45056f39d0e8d844a669c5a07b27c8b84bbebee54c14f323d74337f868ef59cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da73981a5490ae6cc676c08952c4d7a380327c4276815573740c55fdb202b4de",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-23T23:11:02Z",
    "title_canon_sha256": "e5deeceb73c65f7e44510c4c10289b3907966ec1f6f68654df0ccae00ffe59e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24770",
    "kind": "arxiv",
    "version": 1
  }
}