Pith Number

pith:GY4GZXZL

pith:2022:GY4GZXZLFC3PO24SJIMYD5QMPZ

not attested not anchored not stored refs pending

Analysis of the rate of convergence of an over-parametrized deep neural network estimate learned by gradient descent

Adam Krzyzak, Michael Kohler

arxiv:2210.01443 v1 · 2022-10-04 · math.ST · 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{GY4GZXZLFC3PO24SJIMYD5QMPZ}

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	2026-07-05T05:03:10.532192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36386cdf2b28b6f76b924a1981f60c7e52a9b26290e6677a0948210b60df9712

Aliases

arxiv: 2210.01443 · arxiv_version: 2210.01443v1 · doi: 10.48550/arxiv.2210.01443 · pith_short_12: GY4GZXZLFC3P · pith_short_16: GY4GZXZLFC3PO24S · pith_short_8: GY4GZXZL

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/GY4GZXZLFC3PO24SJIMYD5QMPZ \
  | 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: 36386cdf2b28b6f76b924a1981f60c7e52a9b26290e6677a0948210b60df9712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b302a08e2b687c3f2b1b19d19dc7f8e502a40e1f53c2bbc528f4f63f36d0ff54",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-10-04T08:12:03Z",
    "title_canon_sha256": "5b84fb080e0026e22a88b99ec173466048abbfa3524bd642ca9707b833c6847e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.01443",
    "kind": "arxiv",
    "version": 1
  }
}