Pith Number

pith:TTWLJTCI

pith:2026:TTWLJTCIQHX4D672WA6OFHPUVH

not attested not anchored not stored refs pending

Muse: Representation Geometry of Muon Beyond Normalized Momentum

Da Chang, Di He, Ganzhao Yuan, Lvgang Zhang, Qiankun Shi, Yaoshuai Ma, Yongxiang Liu

arxiv:2607.14536 v1 · 2026-07-16 · 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{TTWLJTCIQHX4D672WA6OFHPUVH}

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	2026-07-17T01:21:16.680341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cecb4cc4881efc1fbfab03ce29df4a9db84ed2861856fac0170df4a68d68ded

Aliases

arxiv: 2607.14536 · arxiv_version: 2607.14536v1 · doi: 10.48550/arxiv.2607.14536 · pith_short_12: TTWLJTCIQHX4 · pith_short_16: TTWLJTCIQHX4D672 · pith_short_8: TTWLJTCI

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/TTWLJTCIQHX4D672WA6OFHPUVH \
  | 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: 9cecb4cc4881efc1fbfab03ce29df4a9db84ed2861856fac0170df4a68d68ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0d0cdf436c602a019ed2ae1bff3a9d0eb06507b87f67dbbb283ef0a13fa01f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-16T03:42:21Z",
    "title_canon_sha256": "38219b4e3b3fb3d2a6c1614348ed06395928fc108250e14f18d2c3ded68edd31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14536",
    "kind": "arxiv",
    "version": 1
  }
}