Pith Number

pith:TCQTDR25

pith:2023:TCQTDR25DED6G34ROT5ID2UFBR

not attested not anchored not stored refs pending

Beyond NTK with Vanilla Gradient Descent: A Mean-Field Analysis of Neural Networks with Polynomial Width, Samples, and Time

Arvind Mahankali, Jeff Z. HaoChen, Kefan Dong, Margalit Glasgow, Tengyu Ma

arxiv:2306.16361 v2 · 2023-06-28 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCQTDR25DED6G34ROT5ID2UFBR}

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	2026-07-05T06:58:11.495526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a131c75d1907e36f9174fa81ea850c63a4ba1f2d94f8742686ff63625e473a

Aliases

arxiv: 2306.16361 · arxiv_version: 2306.16361v2 · doi: 10.48550/arxiv.2306.16361 · pith_short_12: TCQTDR25DED6 · pith_short_16: TCQTDR25DED6G34R · pith_short_8: TCQTDR25

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/TCQTDR25DED6G34ROT5ID2UFBR \
  | 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: 98a131c75d1907e36f9174fa81ea850c63a4ba1f2d94f8742686ff63625e473a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60805cd7015f94053b376e3dc7820367b41bf571fe7cd133d82eb98751a661d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-06-28T16:45:38Z",
    "title_canon_sha256": "a0ff17a1f5e63480445b300ad6469d5173a80fff29ed1ffd682b6e7230b9d4c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.16361",
    "kind": "arxiv",
    "version": 2
  }
}