Pith Number

pith:4W7BZQLS

pith:2020:4W7BZQLSU5VNDZFSC36RJPW7KP

not attested not anchored not stored refs pending

Minimum Width for Universal Approximation

Chulhee Yun, Jaeho Lee, Jinwoo Shin, Sejun Park

arxiv:2006.08859 v1 · 2020-06-16 · cs.LG · 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{4W7BZQLSU5VNDZFSC36RJPW7KP}

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

4 papers in Pith

Convergence of Gradient Descent for General Neural Network Architectures Beyond the NTK Regime

Model reduction of parametric ordinary differential equations via autoencoders: representation properties and convergence analysis

Universal Differential Equations for Scientific Machine Learning

Enjoy Your Layer Normalization with the Computational Efficiency of RMSNorm

Receipt and verification

First computed	2026-07-05T01:10:43.793483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5be1cc172a76ad1e4b216fd14bedf53fdf38356dbf34e9b7edbf7508fc20c4c

Aliases

arxiv: 2006.08859 · arxiv_version: 2006.08859v1 · doi: 10.48550/arxiv.2006.08859 · pith_short_12: 4W7BZQLSU5VN · pith_short_16: 4W7BZQLSU5VNDZFS · pith_short_8: 4W7BZQLS

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/4W7BZQLSU5VNDZFSC36RJPW7KP \
  | 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: e5be1cc172a76ad1e4b216fd14bedf53fdf38356dbf34e9b7edbf7508fc20c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7086d21cc25baa6c2443177938df1583f86f36d5392dd0e34c5c99cef238aa85",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-06-16T01:24:21Z",
    "title_canon_sha256": "396dc8f5e3c219b38464ac24338b1612d5895bdb7c72e76e9692024190f6b87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08859",
    "kind": "arxiv",
    "version": 1
  }
}