Pith Number

pith:TKS7HMXI

pith:2026:TKS7HMXIGH5GQQBB2AUTYGLDYO

not attested not anchored not stored refs pending

HTMuon: Improving Muon via Heavy-Tailed Spectral Correction

Lei Hsiung, Shenyang Deng, Shuhua Yu, Tianyu Pang, Yaoqing Yang, Yujie Fang, Zihang Liu

arxiv:2603.10067 v2 · 2026-03-10 · cs.LG · 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{TKS7HMXIGH5GQQBB2AUTYGLDYO}

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

2 papers in Pith

LionMuon: Alternating Spectral and Sign Descent for Efficient Training

RMNP: Row-Momentum Normalized Preconditioning for Scalable Matrix-Based Optimization

Receipt and verification

First computed	2026-05-25T02:01:16.865941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa5f3b2e831fa684021d0293c1963c3b54bd450b76f64f5e5ea7201fee449b9

Aliases

arxiv: 2603.10067 · arxiv_version: 2603.10067v2 · doi: 10.48550/arxiv.2603.10067 · pith_short_12: TKS7HMXIGH5G · pith_short_16: TKS7HMXIGH5GQQBB · pith_short_8: TKS7HMXI

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/TKS7HMXIGH5GQQBB2AUTYGLDYO \
  | 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: 9aa5f3b2e831fa684021d0293c1963c3b54bd450b76f64f5e5ea7201fee449b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "455bc28516366f2a45d9b2617a07930f957cf72375a96aa5653614edde6dc522",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-10T02:12:24Z",
    "title_canon_sha256": "3f90802658d164cd73f8ab04692ba444992fbc1a77c8604c672712c4494c5a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.10067",
    "kind": "arxiv",
    "version": 2
  }
}