Pith Number

pith:FRKL7WXZ

pith:2018:FRKL7WXZUCWHZWGE4UPY5KZUNC

not attested not anchored not stored refs pending

Shampoo: Preconditioned Stochastic Tensor Optimization

Tomer Koren, Vineet Gupta, Yoram Singer

arxiv:1802.09568 v2 · 2018-02-26 · cs.LG · math.OC · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRKL7WXZUCWHZWGE4UPY5KZUNC}

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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

4 papers in Pith

Anytime Training with Schedule-Free Spectral Optimization

Massively Multilingual Neural Machine Translation in the Wild: Findings and Challenges

Runtime-Orchestrated Second-Order Optimization for Scalable LLM Training

Dimension-Free Saddle-Point Escape in Muon

Receipt and verification

First computed	2026-05-18T00:22:08.496721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c54bfdaf9a0ac7cd8c4e51f8eab346888500fdab94792250dacda1287355b2f

Aliases

arxiv: 1802.09568 · arxiv_version: 1802.09568v2 · doi: 10.48550/arxiv.1802.09568 · pith_short_12: FRKL7WXZUCWH · pith_short_16: FRKL7WXZUCWHZWGE · pith_short_8: FRKL7WXZ

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/FRKL7WXZUCWHZWGE4UPY5KZUNC \
  | 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: 2c54bfdaf9a0ac7cd8c4e51f8eab346888500fdab94792250dacda1287355b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e270062d66046aa89db032b669be42395574687c0b1b45eb6104bccfe37415e",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-02-26T19:36:41Z",
    "title_canon_sha256": "9d50fc2a10feb8f5090c91c46c1056185ab329421f23306b747081ea7d7bf64c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09568",
    "kind": "arxiv",
    "version": 2
  }
}