Pith Number

pith:BEZOKLCN

pith:2016:BEZOKLCNE5APAPMOTNK43LUM5N

not attested not anchored not stored refs pending

Stochastic Optimization with Variance Reduction for Infinite Datasets with Finite-Sum Structure

Alberto Bietti, Julien Mairal

arxiv:1610.00970 v6 · 2016-10-04 · stat.ML · cs.LG · 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{BEZOKLCNE5APAPMOTNK43LUM5N}

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	2026-05-18T00:30:32.873364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0932e52c4d2740f03d8e9b55cdae8ceb660b8bf5141728ff28f6c4cf4aa8d55d

Aliases

arxiv: 1610.00970 · arxiv_version: 1610.00970v6 · doi: 10.48550/arxiv.1610.00970 · pith_short_12: BEZOKLCNE5AP · pith_short_16: BEZOKLCNE5APAPMO · pith_short_8: BEZOKLCN

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/BEZOKLCNE5APAPMOTNK43LUM5N \
  | 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: 0932e52c4d2740f03d8e9b55cdae8ceb660b8bf5141728ff28f6c4cf4aa8d55d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc1ca94ef4537a5f717ba675ef94f4ecd6ee8b703ba5bd6dfc0859b70b41561",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-10-04T13:08:42Z",
    "title_canon_sha256": "de6016a46174b655708558cddd0c2db875861b8e741a2b9b8d0dd2c2e7360a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00970",
    "kind": "arxiv",
    "version": 6
  }
}