Pith Number

pith:Y7FO5DPZ

pith:2026:Y7FO5DPZ3RPIRHZVWCIHCDC37P

not attested not anchored not stored refs pending

Muon in Associative Memory Learning: Training Dynamics and Scaling Laws

Binghui Li, Han Zhong, Kaifei Wang, Liwei Wang, Pinyan Lu

arxiv:2602.05725 v2 · 2026-02-05 · cs.LG · math.OC · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7FO5DPZ3RPIRHZVWCIHCDC37P}

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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

Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory

Phases of Muon: When Muon Eclipses SignSGD

Dimension-Free Saddle-Point Escape in Muon

Receipt and verification

First computed	2026-05-26T02:04:05.116639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7caee8df9dc5e889f35b090710c5bfbdf3a1bb35f8d3726305dda66fd07290a

Aliases

arxiv: 2602.05725 · arxiv_version: 2602.05725v2 · doi: 10.48550/arxiv.2602.05725 · pith_short_12: Y7FO5DPZ3RPI · pith_short_16: Y7FO5DPZ3RPIRHZV · pith_short_8: Y7FO5DPZ

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/Y7FO5DPZ3RPIRHZVWCIHCDC37P \
  | 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: c7caee8df9dc5e889f35b090710c5bfbdf3a1bb35f8d3726305dda66fd07290a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97d5142a20236def7c09759a806abb4dd7d0cddf87701fdae88f5754ea3de9c6",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-05T14:49:40Z",
    "title_canon_sha256": "4f1fb0ef774a7c019fb49c2f192caaa153a6ed5a2c711e24bf5c112ad0330a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05725",
    "kind": "arxiv",
    "version": 2
  }
}