Pith Number

pith:WJYSMSWX

pith:2019:WJYSMSWXQQQ5G5CJIXYRHORQSM

not attested not anchored not stored refs pending

Stochastic Approximation of Smooth and Strongly Convex Functions: Beyond the $O(1/T)$ Convergence Rate

Lijun Zhang, Zhi-Hua Zhou

arxiv:1901.09344 v1 · 2019-01-27 · 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{WJYSMSWXQQQ5G5CJIXYRHORQSM}

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	2026-05-17T23:55:25.037635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b271264ad78421d3744945f113ba3093048f15a95977c67173f604af7269d264

Aliases

arxiv: 1901.09344 · arxiv_version: 1901.09344v1 · doi: 10.48550/arxiv.1901.09344 · pith_short_12: WJYSMSWXQQQ5 · pith_short_16: WJYSMSWXQQQ5G5CJ · pith_short_8: WJYSMSWX

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/WJYSMSWXQQQ5G5CJIXYRHORQSM \
  | 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: b271264ad78421d3744945f113ba3093048f15a95977c67173f604af7269d264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8eb627c0e7d63065fd5e22f330b8748b2498cb58ca36bdab3a79b04b4ff1bba",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-01-27T09:36:58Z",
    "title_canon_sha256": "4b92016638e1cec589758e7dcde1c255f826b4889ecd6ce7cac56b8b2e0b4a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09344",
    "kind": "arxiv",
    "version": 1
  }
}