Pith Number

pith:YMDGPZLL

pith:2023:YMDGPZLLFCQNGQ7L74RDAWMF3T

not attested not anchored not stored refs pending

A Distributed Data-Parallel PyTorch Implementation of the Distributed Shampoo Optimizer for Training Neural Networks At-Scale

Dheevatsa Mudigere, Hao-Jun Michael Shi, Jose Gallego-Posada, Kaushik Rangadurai, Michael Rabbat, Shintaro Iwasaki, Tsung-Hsien Lee, Zhijing Li

arxiv:2309.06497 v1 · 2023-09-12 · cs.LG · cs.DC · cs.MS · math.OC

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\usepackage{pith}
\pithnumber{YMDGPZLLFCQNGQ7L74RDAWMF3T}

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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

15 papers in Pith

MatrixFSDP: communication-free matrix optimizers under ZeRO-3 parameter sharding

DMuon: Efficient Distributed Muon Training with Near-Adam Overhead

SOAP-Bubbles: Structured Weight Uncertainty for Neural Networks

Double Preconditioning (DoPr): Optimization for Test-Time Performance, not Validation Loss

Spectral Scaling Laws of Muon

Receipt and verification

First computed	2026-07-05T06:50:18.476190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30667e56b28a0d343ebff22305985dcd5b09a1775a65219c1fadbe278819e51

Aliases

arxiv: 2309.06497 · arxiv_version: 2309.06497v1 · doi: 10.48550/arxiv.2309.06497 · pith_short_12: YMDGPZLLFCQN · pith_short_16: YMDGPZLLFCQNGQ7L · pith_short_8: YMDGPZLL

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/YMDGPZLLFCQNGQ7L74RDAWMF3T \
  | 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: c30667e56b28a0d343ebff22305985dcd5b09a1775a65219c1fadbe278819e51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59a96b33a0aed909bc606f2d8151b09295c29b45f0323a5319116d29d9606404",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.MS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-09-12T18:11:10Z",
    "title_canon_sha256": "618edec4cb070839a2daf4bbb58585343bdabb096e6ffee933dad5be1491c7af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.06497",
    "kind": "arxiv",
    "version": 1
  }
}