Pith Number

pith:FNXAMCVA

pith:2026:FNXAMCVAVWLDU5WUAKBZ3QVWIQ

not attested not anchored not stored refs pending

Rethinking Muon Beyond Pretraining: Spectral Failures and High-Pass Remedies for VLA and RLVR

Chongyu Fan, Gaowen Liu, Mingyi Hong, Ramana Rao Kompella, Sijia Liu

arxiv:2605.19282 v1 · 2026-05-19 · 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{FNXAMCVAVWLDU5WUAKBZ3QVWIQ}

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	2026-05-20T01:05:37.519410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6e060aa0ad963a76d402839dc2b6441ed8a4a0fef854487ade17ee4788d25d

Aliases

arxiv: 2605.19282 · arxiv_version: 2605.19282v1 · doi: 10.48550/arxiv.2605.19282 · pith_short_12: FNXAMCVAVWLD · pith_short_16: FNXAMCVAVWLDU5WU · pith_short_8: FNXAMCVA

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/FNXAMCVAVWLDU5WUAKBZ3QVWIQ \
  | 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: 2b6e060aa0ad963a76d402839dc2b6441ed8a4a0fef854487ade17ee4788d25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e8836c779e9b16878167adf998b8e5a966780c6b5affacab5827cd7194d9c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-19T03:00:26Z",
    "title_canon_sha256": "40674b61336762d654e7102176a145bef729187da72f2473630c2a928fbb6102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19282",
    "kind": "arxiv",
    "version": 1
  }
}