Pith Number

pith:SY3ZSV2J

pith:2020:SY3ZSV2JMFPC7YNXRMT4ENF5Q2

not attested not anchored not stored refs pending

PAGE: A Simple and Optimal Probabilistic Gradient Estimator for Nonconvex Optimization

Hongyan Bao, Peter Richt\'arik, Xiangliang Zhang, Zhize Li

arxiv:2008.10898 v3 · 2020-08-25 · cs.LG · cs.AI · cs.DS · 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{SY3ZSV2JMFPC7YNXRMT4ENF5Q2}

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	2026-07-05T02:48:33.815464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9637995749615e2fe1b78b27c234bd86987e78192c01839885f883ad35a7b146

Aliases

arxiv: 2008.10898 · arxiv_version: 2008.10898v3 · doi: 10.48550/arxiv.2008.10898 · pith_short_12: SY3ZSV2JMFPC · pith_short_16: SY3ZSV2JMFPC7YNX · pith_short_8: SY3ZSV2J

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/SY3ZSV2JMFPC7YNXRMT4ENF5Q2 \
  | 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: 9637995749615e2fe1b78b27c234bd86987e78192c01839885f883ad35a7b146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd2ca25227d96e2d12d005e7e4a075b8c28fc27ef9bdac58cc9eb96e4e2cb26",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DS",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-08-25T09:11:31Z",
    "title_canon_sha256": "3b1706b3f4a521f47bfedd7a9f47a9b94e8af6d73aac3a000656f43aaf6ec35e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.10898",
    "kind": "arxiv",
    "version": 3
  }
}