Pith Number

pith:AUQF4IGR

pith:2018:AUQF4IGRX4JMYVMXZBVAMYOA2Z

not attested not anchored not stored refs pending

Lower error bounds for the stochastic gradient descent optimization algorithm: Sharp convergence rates for slowly and fast decaying learning rates

Arnulf Jentzen, Philippe von Wurstemberger

arxiv:1803.08600 v1 · 2018-03-22 · math.NA · cs.NA · math.PR · 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{AUQF4IGRX4JMYVMXZBVAMYOA2Z}

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	2026-06-04T19:11:43.558140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05205e20d1bf12cc5597c86a0661c0d66e9fdf56d284a95790c53897df1e86a2

Aliases

arxiv: 1803.08600 · arxiv_version: 1803.08600v1 · doi: 10.48550/arxiv.1803.08600 · pith_short_12: AUQF4IGRX4JM · pith_short_16: AUQF4IGRX4JMYVMX · pith_short_8: AUQF4IGR

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/AUQF4IGRX4JMYVMXZBVAMYOA2Z \
  | 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: 05205e20d1bf12cc5597c86a0661c0d66e9fdf56d284a95790c53897df1e86a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30d817c881547700e0f436119837243b82c6e053d560091006315c90d896a6ea",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-03-22T22:31:03Z",
    "title_canon_sha256": "de3fc368d820e81dc704915113b2c51748ba5d03d9a7b1047d89720276485ef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08600",
    "kind": "arxiv",
    "version": 1
  }
}