Pith Number

pith:IVYZGKYW

pith:2025:IVYZGKYWW2PO22UQ5UHO57GQEX

not attested not anchored not stored refs pending

Muon Optimizer Accelerates Grokking

Amund Tveit, Arve Skogvold, Bj{\o}rn Remseth

arxiv:2504.16041 v1 · 2025-04-22 · 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{IVYZGKYWW2PO22UQ5UHO57GQEX}

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

3 papers in Pith

Convergence of Spectral Descent for Non-smooth Optimization

Spectral Flattening Is All Muon Needs: How Orthogonalization Controls Learning Rate and Convergence

When and Why SignSGD Outperforms SGD: A Theoretical Study Based on $\ell_1$-norm Lower Bounds

Receipt and verification

First computed	2026-07-05T10:52:34.333185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4571932b16b69eed6a90ed0eeefcd025c915962ad37cc62022aea118444af93a

Aliases

arxiv: 2504.16041 · arxiv_version: 2504.16041v1 · doi: 10.48550/arxiv.2504.16041 · pith_short_12: IVYZGKYWW2PO · pith_short_16: IVYZGKYWW2PO22UQ · pith_short_8: IVYZGKYW

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/IVYZGKYWW2PO22UQ5UHO57GQEX \
  | 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: 4571932b16b69eed6a90ed0eeefcd025c915962ad37cc62022aea118444af93a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f83014f1f2f7e5aa47b4b529587f67b05774c4f4cf8539c4d50afb3fa4786cae",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-04-22T17:08:09Z",
    "title_canon_sha256": "ae322101a8019ffef09426a74d92e430abe7ed04bdc0fc459dbec8915b73b729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16041",
    "kind": "arxiv",
    "version": 1
  }
}