Pith Number

pith:2Z6G4CWZ

pith:2025:2Z6G4CWZOAXI5WVDRKLUEGGRYR

not attested not anchored not stored refs pending

Turbo-Muon: Almost-Orthogonal Pre-Conditioning for Fast Muon Updates

Franck Mamalet, IRIT-MISFIT), Mathieu Serrurier (IRIT-MISFIT), Thibaut Boissin (IRIT-MISFIT), Thomas Massena (DTIPG - SNCF

arxiv:2512.04632 v2 · 2025-12-04 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Z6G4CWZOAXI5WVDRKLUEGGRYR}

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.

Cited by

4 papers in Pith

Why Muon Outperforms Adam: A Curvature Perspective

Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers

MuonQ: Enhancing Low-Bit Muon Quantization via Directional Fidelity Optimization

Receipt and verification

First computed	2026-07-07T02:19:43.381697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67c6e0ad9702e8edaa38a974218d1c448634851fede47a7402ae42b328e8fb9

Aliases

arxiv: 2512.04632 · arxiv_version: 2512.04632v2 · doi: 10.48550/arxiv.2512.04632 · pith_short_12: 2Z6G4CWZOAXI · pith_short_16: 2Z6G4CWZOAXI5WVD · pith_short_8: 2Z6G4CWZ

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/2Z6G4CWZOAXI5WVDRKLUEGGRYR \
  | 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: d67c6e0ad9702e8edaa38a974218d1c448634851fede47a7402ae42b328e8fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a46d02ebf3d5bfcb4e56bb65f19eaad1108a65b9689f3192e5c31e871c1919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-12-04T10:06:22Z",
    "title_canon_sha256": "a5e63098d3dce9713cf0a916b863c002214156e613e6a7b271915cec2ebd25b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.04632",
    "kind": "arxiv",
    "version": 2
  }
}