Pith Number

pith:ZSX4HR3H

pith:2022:ZSX4HR3HTAEV6FTGSJPTDIIA7C

not attested not anchored not stored refs pending

Approximation results for Gradient Descent trained Shallow Neural Networks in $1d$

G. Welper, R. Gentile

arxiv:2209.08399 v1 · 2022-09-17 · cs.LG · cs.NA · math.NA · 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{ZSX4HR3HTAEV6FTGSJPTDIIA7C}

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.

Cited by

1 paper in Pith

Mathematical analysis of the gradients in deep learning

Receipt and verification

First computed	2026-07-05T04:58:40.813488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccafc3c76798095f1666925f31a100f88b975dd69470aaa5f471f44896f6d4e0

Aliases

arxiv: 2209.08399 · arxiv_version: 2209.08399v1 · doi: 10.48550/arxiv.2209.08399 · pith_short_12: ZSX4HR3HTAEV · pith_short_16: ZSX4HR3HTAEV6FTG · pith_short_8: ZSX4HR3H

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/ZSX4HR3HTAEV6FTGSJPTDIIA7C \
  | 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: ccafc3c76798095f1666925f31a100f88b975dd69470aaa5f471f44896f6d4e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700c7192e3dc0a09292105d18899e78c5b5e30e8cfdef335370b2468084946f4",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-09-17T20:26:19Z",
    "title_canon_sha256": "bb31cfa03b18ca9f4d514c9f29880a6907dac6041a25636e97d5710130169bdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08399",
    "kind": "arxiv",
    "version": 1
  }
}