Pith Number

pith:6K5VMBJY

pith:2026:6K5VMBJYBWRFZ7HDRWSSYTQ3P5

not attested not anchored not stored refs pending

LoRA-Muon: Spectral Steepest Descent on the Low-Rank Manifold

C\'edric Simal, Franz Louis Cesista, Katherine Crowson, Stella Biderman

arxiv:2606.12921 v1 · 2026-06-11 · 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{6K5VMBJYBWRFZ7HDRWSSYTQ3P5}

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	2026-06-12T01:09:34.472588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2bb5605380da25cfce38da52c4e1b7f6dcb309679a41a9e9e3e5f4a02e2f832

Aliases

arxiv: 2606.12921 · arxiv_version: 2606.12921v1 · doi: 10.48550/arxiv.2606.12921 · pith_short_12: 6K5VMBJYBWRF · pith_short_16: 6K5VMBJYBWRFZ7HD · pith_short_8: 6K5VMBJY

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/6K5VMBJYBWRFZ7HDRWSSYTQ3P5 \
  | 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: f2bb5605380da25cfce38da52c4e1b7f6dcb309679a41a9e9e3e5f4a02e2f832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4400a614da6315007253871fd85e93bc9e132e945edf5376c6f4675e6d584f89",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-11T05:24:45Z",
    "title_canon_sha256": "9e2ca83f932ecb681449f4ba1fdd738ff9f4d3b38cac454a9694d16e104092d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12921",
    "kind": "arxiv",
    "version": 1
  }
}