Pith Number

pith:YNAD4OAH

pith:2019:YNAD4OAHRXMYTPR2XFGCYMDNGO

not attested not anchored not stored refs pending

Trend to Equilibrium for the Kinetic Fokker-Planck Equation via the Neural Network Approach

Hyeontae Jo, Hyung Ju Hwang, Jae Yong Lee, Jin Woo Jang

arxiv:1911.09843 v1 · 2019-11-22 · math.NA · cs.LG · cs.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNAD4OAHRXMYTPR2XFGCYMDNGO}

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	2026-07-05T01:18:43.250841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3403e38078dd989be3ab94c2c306d33899cd2f7b0bf2e5dc6d4f9a041c4cf98

Aliases

arxiv: 1911.09843 · arxiv_version: 1911.09843v1 · doi: 10.48550/arxiv.1911.09843 · pith_short_12: YNAD4OAHRXMY · pith_short_16: YNAD4OAHRXMYTPR2 · pith_short_8: YNAD4OAH

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/YNAD4OAHRXMYTPR2XFGCYMDNGO \
  | 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: c3403e38078dd989be3ab94c2c306d33899cd2f7b0bf2e5dc6d4f9a041c4cf98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a5fe4eb112ff1c8c62c078047503d0a2be7745a092052a099f5df56bf311de",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-11-22T04:03:26Z",
    "title_canon_sha256": "9d7b1b901d5df4efa671856f199290c953760fd8b822e7fdf2af3eb511e02de1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.09843",
    "kind": "arxiv",
    "version": 1
  }
}