Pith Number

pith:S5U3EE5H

pith:2019:S5U3EE5HEMUUEJRRAJTJNKERZ4

not attested not anchored not stored refs pending

Simple and optimal high-probability bounds for strongly-convex stochastic gradient descent

Christopher Liaw, Nicholas J. A. Harvey, Sikander Randhawa

arxiv:1909.00843 v1 · 2019-09-02 · cs.LG · math.OC · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5U3EE5HEMUUEJRRAJTJNKERZ4}

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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

Non-Asymptotic Convergence of Stochastic Iterative Algorithms: A Lyapunov Framework

Concentration of General Stochastic Approximation Under Heavy-Tailed Markovian Noise

Sample Complexity of Stochastic Optimization with Integer Variables

Receipt and verification

First computed	2026-07-05T00:01:13.261348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9769b213a72329422631026696a891cf3d0b3a5a151f9c3b31390fcc60dddb4e

Aliases

arxiv: 1909.00843 · arxiv_version: 1909.00843v1 · doi: 10.48550/arxiv.1909.00843 · pith_short_12: S5U3EE5HEMUU · pith_short_16: S5U3EE5HEMUUEJRR · pith_short_8: S5U3EE5H

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/S5U3EE5HEMUUEJRRAJTJNKERZ4 \
  | 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: 9769b213a72329422631026696a891cf3d0b3a5a151f9c3b31390fcc60dddb4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fd092f3bc7d2a783822d8b4b3a53b4b0526bebf3b16fe94d2fa967d85931856",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-09-02T19:47:47Z",
    "title_canon_sha256": "39b22bff3a4219a6f75576d686f133fc2378fdf4062d07411527fb35538ff41d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00843",
    "kind": "arxiv",
    "version": 1
  }
}