Pith Number

pith:ZLEJPH2P

pith:2019:ZLEJPH2P2E5PK6CHQWSHDM4KX2

not attested not anchored not stored refs pending

Mean-field Langevin System, Optimal Control and Deep Neural Networks

Anna Kazeykina, Kaitong Hu, Zhenjie Ren

arxiv:1909.07278 v2 · 2019-09-16 · math.PR · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLEJPH2P2E5PK6CHQWSHDM4KX2}

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

Genericity of Polyak-Lojasiewicz Inequalities for Entropic Mean-Field Neural ODEs

Receipt and verification

First computed	2026-07-05T00:09:32.163090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac8979f4fd13af5784785a471b38abe9ef6b12bc9f76f6b0120803d119180fa

Aliases

arxiv: 1909.07278 · arxiv_version: 1909.07278v2 · doi: 10.48550/arxiv.1909.07278 · pith_short_12: ZLEJPH2P2E5P · pith_short_16: ZLEJPH2P2E5PK6CH · pith_short_8: ZLEJPH2P

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/ZLEJPH2P2E5PK6CHQWSHDM4KX2 \
  | 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: cac8979f4fd13af5784785a471b38abe9ef6b12bc9f76f6b0120803d119180fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fd3edd54773995fb0b04a843e73469982c47655d3890f1e7203e2cf38b532e7",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-09-16T15:31:25Z",
    "title_canon_sha256": "a751e926c9d054f0aff54071c16c0d26feb5bb0421025ff9f961ad9c2975e75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.07278",
    "kind": "arxiv",
    "version": 2
  }
}