Pith Number

pith:47YKIJK6

pith:2020:47YKIJK6LL3QJY4OJXKL2ULF6J

not attested not anchored not stored refs pending

Variance Reduction on General Adaptive Stochastic Mirror Descent

Guang Cheng, Wenjie Li, Yichen Zhang, Zhanyu Wang

arxiv:2012.13760 v3 · 2020-12-26 · stat.ML · cs.AI · 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{47YKIJK6LL3QJY4OJXKL2ULF6J}

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	2026-07-05T05:06:49.793195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7f0a4255e5af704e38e4dd4bd5165f265107414aaa6bc5d3181b44673b44909

Aliases

arxiv: 2012.13760 · arxiv_version: 2012.13760v3 · doi: 10.48550/arxiv.2012.13760 · pith_short_12: 47YKIJK6LL3Q · pith_short_16: 47YKIJK6LL3QJY4O · pith_short_8: 47YKIJK6

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/47YKIJK6LL3QJY4OJXKL2ULF6J \
  | 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: e7f0a4255e5af704e38e4dd4bd5165f265107414aaa6bc5d3181b44673b44909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca08395900a7701bf2ccf6669da827a3632c097eda5e240f26e919aeb99bc8f",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-12-26T15:15:51Z",
    "title_canon_sha256": "b27e7b2784e0da40183d9ef36e90672abd2477b4cdab8ed9fdfc7b68c43ffd59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.13760",
    "kind": "arxiv",
    "version": 3
  }
}