Pith Number

pith:5DTAGEUO

pith:2025:5DTAGEUO3TCX5OY4W5VBDKEKD6

not attested not anchored not stored refs pending

Eigenvalue distribution of the Neural Tangent Kernel in the quadratic scaling

Elliot Paquette, Lucas Benigni

arxiv:2508.20036 v1 · 2025-08-27 · 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{5DTAGEUO3TCX5OY4W5VBDKEKD6}

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	2026-07-05T12:00:22.718807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e603128edcc57ebb1cb76a11a88a1fb45142ae57f5fe10c048281e78915b44

Aliases

arxiv: 2508.20036 · arxiv_version: 2508.20036v1 · doi: 10.48550/arxiv.2508.20036 · pith_short_12: 5DTAGEUO3TCX · pith_short_16: 5DTAGEUO3TCX5OY4 · pith_short_8: 5DTAGEUO

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/5DTAGEUO3TCX5OY4W5VBDKEKD6 \
  | 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: e8e603128edcc57ebb1cb76a11a88a1fb45142ae57f5fe10c048281e78915b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4b57ebd728db52f3b25db24600d1d3af2a04155091e9c2422aa6c592aa7b34",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-27T16:41:01Z",
    "title_canon_sha256": "41831ae1e47e332b576b72caf53e9d1593bcdbb388acb041e0ad5d75e7092a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20036",
    "kind": "arxiv",
    "version": 1
  }
}