Pith Number

pith:W3CGHZ5N

pith:2024:W3CGHZ5NFJP2BYZQQ4VZP6W5T3

not attested not anchored not stored refs pending

Mean-field Analysis on Two-layer Neural Networks from a Kernel Perspective

Shokichi Takakura, Taiji Suzuki

arxiv:2403.14917 v2 · 2024-03-22 · 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{W3CGHZ5NFJP2BYZQQ4VZP6W5T3}

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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

2 papers in Pith

Uniform-in-Time Weak Propagation-of-Chaos in Shallow Neural Networks

Closed-Form Last Layer Optimization

Receipt and verification

First computed	2026-07-05T08:05:12.340389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6c463e7ad2a5fa0e330872b97fadd9eea30b4e1e544f8cbc3dd19f479dc4187

Aliases

arxiv: 2403.14917 · arxiv_version: 2403.14917v2 · doi: 10.48550/arxiv.2403.14917 · pith_short_12: W3CGHZ5NFJP2 · pith_short_16: W3CGHZ5NFJP2BYZQ · pith_short_8: W3CGHZ5N

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/W3CGHZ5NFJP2BYZQQ4VZP6W5T3 \
  | 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: b6c463e7ad2a5fa0e330872b97fadd9eea30b4e1e544f8cbc3dd19f479dc4187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2971b1a471579e1c74ddb402da3b9b5072b7636a736a0bde44c67fa8a6df91ab",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-03-22T02:41:57Z",
    "title_canon_sha256": "50a3d0a5d11638aa9844fb6e39072ceb4a9c7c6508ab834fa6e29308e31d9f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.14917",
    "kind": "arxiv",
    "version": 2
  }
}