Pith Number

pith:CZ7WYBMT

pith:2026:CZ7WYBMTADSZM5YEZ2Q4YZYF2H

not attested not anchored not stored refs pending

Denoise First, Orthogonalize Later: Understanding Momentum in Muon via Spectral Filtering

Han Bao, Weiyang Liu, Xianliang Li, Zihan Zhang

arxiv:2606.03899 v1 · 2026-06-02 · 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{CZ7WYBMTADSZM5YEZ2Q4YZYF2H}

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	2026-06-03T02:06:06.325099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167f6c059300e5967704cea1cc6705d1d6103cb8cf64de064c4a7a43905c5876

Aliases

arxiv: 2606.03899 · arxiv_version: 2606.03899v1 · doi: 10.48550/arxiv.2606.03899 · pith_short_12: CZ7WYBMTADSZ · pith_short_16: CZ7WYBMTADSZM5YE · pith_short_8: CZ7WYBMT

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/CZ7WYBMTADSZM5YEZ2Q4YZYF2H \
  | 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: 167f6c059300e5967704cea1cc6705d1d6103cb8cf64de064c4a7a43905c5876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7bb47b6b61148fc5a66fa5c6020aba41160118a535198ad468b5fa856f7de9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-02T16:54:38Z",
    "title_canon_sha256": "a76e0c450fbad4ff63fab1e78a007cfcac632d3833bd9500be4bf89080023b19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03899",
    "kind": "arxiv",
    "version": 1
  }
}