Pith Number

pith:YK5OFHTQ

pith:2022:YK5OFHTQETNZQYQWOVZFBY3Q65

not attested not anchored not stored refs pending

Sharp asymptotics on the compression of two-layer neural networks

Marco Mondelli, Mohammad Hossein Amani, Rattana Pukdee, Simone Bombari, Stefano Rini

arxiv:2205.08199 v4 · 2022-05-17 · cs.IT · cs.LG · math.IT · 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{YK5OFHTQETNZQYQWOVZFBY3Q65}

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.

Receipt and verification

First computed	2026-07-05T04:48:52.445603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2bae29e7024db986216757250e370f752cd57a8d2157b4145c017dea56a4045

Aliases

arxiv: 2205.08199 · arxiv_version: 2205.08199v4 · doi: 10.48550/arxiv.2205.08199 · pith_short_12: YK5OFHTQETNZ · pith_short_16: YK5OFHTQETNZQYQW · pith_short_8: YK5OFHTQ

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/YK5OFHTQETNZQYQWOVZFBY3Q65 \
  | 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: c2bae29e7024db986216757250e370f752cd57a8d2157b4145c017dea56a4045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f278b8dd281c152e5b31608c958cebf863af58f140eb0b5ed8c8d2a1a156db1",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-05-17T09:45:23Z",
    "title_canon_sha256": "7bc2f9acc96382222c6ac602927bf8fad84619e98d40db8e8f280aa03e804bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.08199",
    "kind": "arxiv",
    "version": 4
  }
}