Pith Number

pith:7UTMVQGK

pith:2022:7UTMVQGK7CXBR6LSUKGO67TGLZ

not attested not anchored not stored refs pending

On the infinite-depth limit of finite-width neural networks

Soufiane Hayou

arxiv:2210.00688 v3 · 2022-10-03 · stat.ML · cs.LG · 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{7UTMVQGK7CXBR6LSUKGO67TGLZ}

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

2 papers in Pith

How Deep Are Deep GPs, Really? A Sharp Threshold and a Non-Gaussian Limit for Compositional GPs

Clustering in pure-attention hardmax transformers and its role in sentiment analysis

Receipt and verification

First computed	2026-07-05T05:32:48.536813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd26cac0caf8ae18f972a28cef7e665e50395e6affd648008a7a597cdff933b8

Aliases

arxiv: 2210.00688 · arxiv_version: 2210.00688v3 · doi: 10.48550/arxiv.2210.00688 · pith_short_12: 7UTMVQGK7CXB · pith_short_16: 7UTMVQGK7CXBR6LS · pith_short_8: 7UTMVQGK

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/7UTMVQGK7CXBR6LSUKGO67TGLZ \
  | 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: fd26cac0caf8ae18f972a28cef7e665e50395e6affd648008a7a597cdff933b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "633b5d3ac1e36d268009a3d070c6e7c179e2bae9ae9abb03ec225f7ab08d0c2b",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-10-03T02:35:23Z",
    "title_canon_sha256": "c6790e4f46f9e6d2ac4918fa9d4dc779cbaad3d7915c672e2d2439df1f1be409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.00688",
    "kind": "arxiv",
    "version": 3
  }
}