Pith Number

pith:DVBXKXWZ

pith:2018:DVBXKXWZV3LAABUDUUL7AV6FAK

not attested not anchored not stored refs pending

Mean Field Analysis of Neural Networks: A Central Limit Theorem

Justin Sirignano, Konstantinos Spiliopoulos

arxiv:1808.09372 v2 · 2018-08-28 · math.PR · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVBXKXWZV3LAABUDUUL7AV6FAK}

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.

Cited by

1 paper in Pith

Limit Theorems for Stochastic Gradient Descent in High-Dimensional Single-Layer Networks

Receipt and verification

First computed	2026-05-17T23:44:32.201693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d43755ed9aed6000683a517f057c50291e6d46060b411145213071481e47c8d

Aliases

arxiv: 1808.09372 · arxiv_version: 1808.09372v2 · doi: 10.48550/arxiv.1808.09372 · pith_short_12: DVBXKXWZV3LA · pith_short_16: DVBXKXWZV3LAABUD · pith_short_8: DVBXKXWZ

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/DVBXKXWZV3LAABUDUUL7AV6FAK \
  | 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: 1d43755ed9aed6000683a517f057c50291e6d46060b411145213071481e47c8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f83d9e1196ba7e8742c3c039e789a2a6d35742ebb84a86cb6fcf6fec7a2b6b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-28T15:43:20Z",
    "title_canon_sha256": "a599aa356175affbe4ba243b1ee5318e5308727dd37d89352ab7728837a4d858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09372",
    "kind": "arxiv",
    "version": 2
  }
}