Pith Number

pith:YM7IULHS

pith:2017:YM7IULHSUE3XVAU2AWUSBKCHAK

not attested not anchored not stored refs pending

Random gradient extrapolation for distributed and stochastic optimization

Guanghui Lan, Yi Zhou

arxiv:1711.05762 v1 · 2017-11-15 · math.OC · cs.CC · cs.LG · 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{YM7IULHSUE3XVAU2AWUSBKCHAK}

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	2026-05-18T00:30:24.214423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33e8a2cf2a1377a829a05a920a84702ab928ba2aed4b600c5e71369e88f8296

Aliases

arxiv: 1711.05762 · arxiv_version: 1711.05762v1 · doi: 10.48550/arxiv.1711.05762 · pith_short_12: YM7IULHSUE3X · pith_short_16: YM7IULHSUE3XVAU2 · pith_short_8: YM7IULHS

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/YM7IULHSUE3XVAU2AWUSBKCHAK \
  | 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: c33e8a2cf2a1377a829a05a920a84702ab928ba2aed4b600c5e71369e88f8296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0deb5ee76f62f241fe808b65aae57d867709eaf05fc4b3b812d267bc48ae9ea",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-15T19:18:59Z",
    "title_canon_sha256": "2672580564070fc58498f61017ddbc8ada6d051f005a6768ea174e256cf64acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05762",
    "kind": "arxiv",
    "version": 1
  }
}