Pith Number

pith:AEFFHPXI

pith:2019:AEFFHPXIHTZ6UPS2GM22R2MJUX

not attested not anchored not stored refs pending

Mean Field Limit of the Learning Dynamics of Multilayer Neural Networks

Phan-Minh Nguyen

arxiv:1902.02880 v1 · 2019-02-07 · cs.LG · cond-mat.dis-nn · cond-mat.stat-mech · 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{AEFFHPXIHTZ6UPS2GM22R2MJUX}

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	2026-05-17T23:54:28.958418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

010a53bee83cf3ea3e5a3335a8e989a5cda6924ba4fdfb48225da6f731cff56c

Aliases

arxiv: 1902.02880 · arxiv_version: 1902.02880v1 · doi: 10.48550/arxiv.1902.02880 · pith_short_12: AEFFHPXIHTZ6 · pith_short_16: AEFFHPXIHTZ6UPS2 · pith_short_8: AEFFHPXI

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/AEFFHPXIHTZ6UPS2GM22R2MJUX \
  | 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: 010a53bee83cf3ea3e5a3335a8e989a5cda6924ba4fdfb48225da6f731cff56c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc2790053138d9542624ea0e75e743c604bde69f75125b1732f7949230b21d4",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-02-07T23:06:41Z",
    "title_canon_sha256": "bf8c89a6c9bd1e0d08f7fc61e3e95d4154e875d33876b3b7d45488f5514bc0ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02880",
    "kind": "arxiv",
    "version": 1
  }
}