Pith Number

pith:B6KQKSYS

pith:2020:B6KQKSYSSJ4Y5ICKC73PC5W7RW

not attested not anchored not stored refs pending

The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach

Hyung Ju Hwang, Jae Yong Lee, Jin Woo Jang

arxiv:2009.13280 v1 · 2020-09-28 · math.NA · cs.LG · cs.NA · math.AP · 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{B6KQKSYSSJ4Y5ICKC73PC5W7RW}

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	2026-07-05T01:38:28.474151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f95054b1292798ea04a17f6f176df8da0d61592baaf109491b573c81ec10dcd

Aliases

arxiv: 2009.13280 · arxiv_version: 2009.13280v1 · doi: 10.48550/arxiv.2009.13280 · pith_short_12: B6KQKSYSSJ4Y · pith_short_16: B6KQKSYSSJ4Y5ICK · pith_short_8: B6KQKSYS

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/B6KQKSYSSJ4Y5ICKC73PC5W7RW \
  | 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: 0f95054b1292798ea04a17f6f176df8da0d61592baaf109491b573c81ec10dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0615c5e5640ac4a75808228dd2b97a533ad434abab138140626e487dc6227121",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.AP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-09-28T12:46:51Z",
    "title_canon_sha256": "500dcecb032d14fda87cf24183d66ca0b748fb33f905e99c79d72c5374ee5b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.13280",
    "kind": "arxiv",
    "version": 1
  }
}