Pith Number

pith:4J5TCKFZ

pith:2018:4J5TCKFZLRIS5N6DNHWWX7K52Y

not attested not anchored not stored refs pending

Strong error analysis for stochastic gradient descent optimization algorithms

Ariel Neufeld, Arnulf Jentzen, Benno Kuckuck, Philippe von Wurstemberger

arxiv:1801.09324 v1 · 2018-01-29 · math.NA · cs.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4J5TCKFZLRIS5N6DNHWWX7K52Y}

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	2026-06-04T19:11:27.819661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27b3128b95c512eb7c369ed6bfd5dd633d9c4801b105476188479b27bfb9f77

Aliases

arxiv: 1801.09324 · arxiv_version: 1801.09324v1 · doi: 10.48550/arxiv.1801.09324 · pith_short_12: 4J5TCKFZLRIS · pith_short_16: 4J5TCKFZLRIS5N6D · pith_short_8: 4J5TCKFZ

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/4J5TCKFZLRIS5N6DNHWWX7K52Y \
  | 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: e27b3128b95c512eb7c369ed6bfd5dd633d9c4801b105476188479b27bfb9f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1555b53899d768454316bacc5652a40f82f535d5b3132ccc102c9cd7e3b0592c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-01-29T00:12:52Z",
    "title_canon_sha256": "d4f684137dd2393c7bd0de1886abb6434fcc24e97e4bb6e9f96c5d99504c03e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09324",
    "kind": "arxiv",
    "version": 1
  }
}