Pith Number

pith:PT25LPFS

pith:2023:PT25LPFSGZVFWJX4QN5EJNO4DW

not attested not anchored not stored refs pending

Quantitative CLTs in Deep Neural Networks

Boris Hanin, Domenico Marinucci, Giovanni Peccati, Ivan Nourdin, Stefano Favaro

arxiv:2307.06092 v5 · 2023-07-12 · cs.LG · cs.AI · math.PR · 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{PT25LPFSGZVFWJX4QN5EJNO4DW}

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

Kernel shape renormalization explains output-output correlations in finite Bayesian one-hidden-layer networks

Receipt and verification

First computed	2026-07-05T08:32:30.565389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf5d5bcb2366a5b26fc837a44b5dc1db56598e98deaa31c21369d66ccfe7b4f

Aliases

arxiv: 2307.06092 · arxiv_version: 2307.06092v5 · doi: 10.48550/arxiv.2307.06092 · pith_short_12: PT25LPFSGZVF · pith_short_16: PT25LPFSGZVFWJX4 · pith_short_8: PT25LPFS

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/PT25LPFSGZVFWJX4QN5EJNO4DW \
  | 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: 7cf5d5bcb2366a5b26fc837a44b5dc1db56598e98deaa31c21369d66ccfe7b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20073c2d746cd971916915008f6988e63836b5777cdb7cdb1273127dff86e789",
    "cross_cats_sorted": [
      "cs.AI",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-07-12T11:35:37Z",
    "title_canon_sha256": "70ade5ab8316b10be7158cbf70ab652984d15189c065cca15392ed4e7d3621dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.06092",
    "kind": "arxiv",
    "version": 5
  }
}