Pith Number

pith:NPOKI4DZ

pith:2022:NPOKI4DZ6B3HXFD74MXTXRMMTQ

not attested not anchored not stored refs pending

Optimal variance-reduced stochastic approximation in Banach spaces

Koulik Khamaru, Martin J. Wainwright, Michael I. Jordan, Peter L. Bartlett, Wenlong Mou

arxiv:2201.08518 v2 · 2022-01-21 · math.ST · cs.LG · math.OC · stat.ML · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPOKI4DZ6B3HXFD74MXTXRMMTQ}

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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.

Cited by

3 papers in Pith

Statistical Inference for Stochastic Gradient Descent: Beyond Finite Variance

Finite-Time Decoupled Convergence in Nonlinear Two-Time-Scale Stochastic Approximation

Concentration of General Stochastic Approximation Under Heavy-Tailed Markovian Noise

Receipt and verification

First computed	2026-07-05T05:20:09.698602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bdca47079f0767b947fe32f3bc58c9c0c584390050e0f3e1f173244b6c9c442

Aliases

arxiv: 2201.08518 · arxiv_version: 2201.08518v2 · doi: 10.48550/arxiv.2201.08518 · pith_short_12: NPOKI4DZ6B3H · pith_short_16: NPOKI4DZ6B3HXFD7 · pith_short_8: NPOKI4DZ

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/NPOKI4DZ6B3HXFD74MXTXRMMTQ \
  | 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: 6bdca47079f0767b947fe32f3bc58c9c0c584390050e0f3e1f173244b6c9c442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09111c6999232db73187dd6e8c483dca401e1c63fd26d0362686df6fe1bd87e8",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-01-21T02:46:57Z",
    "title_canon_sha256": "21041fe1be529a5a097a7826f3ac081b7f143f5f12df544c45f81527203b2aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.08518",
    "kind": "arxiv",
    "version": 2
  }
}