Pith Number

pith:F4H5QNAJ

pith:2017:F4H5QNAJKHXO4VZZ2JSQZ6RRKV

not attested not anchored not stored refs pending

On the convergence properties of a $K$-step averaging stochastic gradient descent algorithm for nonconvex optimization

Fan Zhou, Guojing Cong

arxiv:1708.01012 v3 · 2017-08-03 · cs.LG · cs.DC · 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{F4H5QNAJKHXO4VZZ2JSQZ6RRKV}

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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

1 paper in Pith

Optimal Batch-Size Control for Low-Latency Federated Learning with Device Heterogeneity

Receipt and verification

First computed	2026-07-05T00:16:29.426483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f0fd8340951eeee5739d2650cfa3155402fda84f088bb62bd75e6017d0ce0df

Aliases

arxiv: 1708.01012 · arxiv_version: 1708.01012v3 · doi: 10.48550/arxiv.1708.01012 · pith_short_12: F4H5QNAJKHXO · pith_short_16: F4H5QNAJKHXO4VZZ · pith_short_8: F4H5QNAJ

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/F4H5QNAJKHXO4VZZ2JSQZ6RRKV \
  | 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: 2f0fd8340951eeee5739d2650cfa3155402fda84f088bb62bd75e6017d0ce0df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "842b04b1cc10d8b3a612d5d739d514179c7707f33312658a9d6cc3939ef5aa1c",
    "cross_cats_sorted": [
      "cs.DC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2017-08-03T06:18:36Z",
    "title_canon_sha256": "3fe5fd2c7e9772999316c99519c674b3631eef038f42841865cd393b3faf86fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01012",
    "kind": "arxiv",
    "version": 3
  }
}