Pith Number

pith:L3CXGFG2

pith:2018:L3CXGFG22EY673N7EINYN5HHWP

not attested not anchored not stored refs pending

Mean Field Analysis of Neural Networks: A Law of Large Numbers

Justin Sirignano, Konstantinos Spiliopoulos

arxiv:1805.01053 v4 · 2018-05-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3CXGFG22EY673N7EINYN5HHWP}

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

3 papers in Pith

Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Product of Random Matrices

Balancing structure and randomness: maximum entropy networks for context-dependent computations

Distributional Spectral Diagnostics for Localizing Grokking Transitions

Receipt and verification

First computed	2026-07-05T00:18:04.405594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec57314dad131efedbf221b86f4e7b3fd5e220b154a931f5906b9ec4c2c3838

Aliases

arxiv: 1805.01053 · arxiv_version: 1805.01053v4 · doi: 10.48550/arxiv.1805.01053 · pith_short_12: L3CXGFG22EY6 · pith_short_16: L3CXGFG22EY673N7 · pith_short_8: L3CXGFG2

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/L3CXGFG22EY673N7EINYN5HHWP \
  | 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: 5ec57314dad131efedbf221b86f4e7b3fd5e220b154a931f5906b9ec4c2c3838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6934f9daf7ac1e64b6f65f7e488e41579e6083418c2dd5f83c2af6887de87f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-02T23:28:59Z",
    "title_canon_sha256": "57372096e69f9cbdb86bdd02fddbd8698e8b3bf5011b1c3441c04526ed9f49e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01053",
    "kind": "arxiv",
    "version": 4
  }
}