Pith Number

pith:PZLU33YB

pith:2018:PZLU33YBBJZAP3WYJIK6L2OB5F

not attested not anchored not stored refs pending

WNGrad: Learn the Learning Rate in Gradient Descent

L\'eon Bottou, Rachel Ward, Xiaoxia Wu

arxiv:1803.02865 v2 · 2018-03-07 · stat.ML · cs.AI · cs.LG · cs.NA · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZLU33YBBJZAP3WYJIK6L2OB5F}

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

2 papers in Pith

bAdag: an adaptive block coordinate gradient method for smooth nonconvex functions

A unified convergence theory for adaptive first-order methods in the nonconvex case, including AdaNorm, full and diagonal AdaGrad, Shampoo and Muo

Receipt and verification

First computed	2026-07-05T01:53:05.629167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e574def010a7207eed84a15e5e9c1e95e6c17bccf49d09ef2c85b4bb02f0b95

Aliases

arxiv: 1803.02865 · arxiv_version: 1803.02865v2 · doi: 10.48550/arxiv.1803.02865 · pith_short_12: PZLU33YBBJZA · pith_short_16: PZLU33YBBJZAP3WY · pith_short_8: PZLU33YB

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/PZLU33YBBJZAP3WYJIK6L2OB5F \
  | 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: 7e574def010a7207eed84a15e5e9c1e95e6c17bccf49d09ef2c85b4bb02f0b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c206f18231217c9ae9b228895c1395aea4d5b06100e00f99e27078d0ab50b1",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-03-07T20:30:35Z",
    "title_canon_sha256": "d2aad522be117678a23dafac981996374666a1f24d1a2461b25783b2e3d917d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02865",
    "kind": "arxiv",
    "version": 2
  }
}