Pith Number

pith:6UAPCI67

pith:2025:6UAPCI67MUGQHUJ4XT2HHMQV4Z

not attested not anchored not stored refs pending

Revisiting the Neural Tangent Kernel: the role of large width and depth

Golnoosh Farnadi, Margarida Carvalho, William St-Arnaud

arxiv:2511.07272 v2 · 2025-11-10 · 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{6UAPCI67MUGQHUJ4XT2HHMQV4Z}

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	2026-06-23T01:11:58.606743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f500f123df650d03d13cbcf473b215e667880ea6804047676c6511570d731a22

Aliases

arxiv: 2511.07272 · arxiv_version: 2511.07272v2 · doi: 10.48550/arxiv.2511.07272 · pith_short_12: 6UAPCI67MUGQ · pith_short_16: 6UAPCI67MUGQHUJ4 · pith_short_8: 6UAPCI67

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/6UAPCI67MUGQHUJ4XT2HHMQV4Z \
  | 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: f500f123df650d03d13cbcf473b215e667880ea6804047676c6511570d731a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8968c0fcc33c55b9d1d976dc3190277b971cb96234a00e4c51bda8d38c43b468",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-11-10T16:18:04Z",
    "title_canon_sha256": "80b7dbb052783600ca82efdef63dfdcff6a8a975f0ed6abccdf37863ddf6d0b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.07272",
    "kind": "arxiv",
    "version": 2
  }
}