Pith Number

pith:63VM5QHQ

pith:2019:63VM5QHQGJDSY7X5B7YT4YJ43B

not attested not anchored not stored refs pending

Wide Neural Networks of Any Depth Evolve as Linear Models Under Gradient Descent

Jaehoon Lee, Jascha Sohl-Dickstein, Jeffrey Pennington, Lechao Xiao, Roman Novak, Samuel S. Schoenholz, Yasaman Bahri

arxiv:1902.06720 v4 · 2019-02-18 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63VM5QHQGJDSY7X5B7YT4YJ43B}

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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

7 papers in Pith

Some Inverse Problems in Particle Physics

Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Gaussian Matrix Product

Outer-Momentum Restarting in High-Dimensional Two-Phase Optimization

ID3 Learns Juntas for Smoothed Product Distributions

Limitations of Lazy Training of Two-layers Neural Networks

Receipt and verification

First computed	2026-07-05T02:11:38.333224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6eacec0f032472c7efd0ff13e613cd8475770541190d6fe5e3150dd995b37fd

Aliases

arxiv: 1902.06720 · arxiv_version: 1902.06720v4 · doi: 10.48550/arxiv.1902.06720 · pith_short_12: 63VM5QHQGJDS · pith_short_16: 63VM5QHQGJDSY7X5 · pith_short_8: 63VM5QHQ

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/63VM5QHQGJDSY7X5B7YT4YJ43B \
  | 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: f6eacec0f032472c7efd0ff13e613cd8475770541190d6fe5e3150dd995b37fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca740481f114c893cd0bf3134499dfb29264845d80ee2633da41565aad0757c5",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-02-18T18:37:49Z",
    "title_canon_sha256": "a3df410a2a8834ba4a89aa99418103bbcb3866e4c416aa2dade7f3f499309a16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06720",
    "kind": "arxiv",
    "version": 4
  }
}