Pith Number

pith:E5TRDRQX

pith:2022:E5TRDRQXF74V3NSS4TH5FPOOK3

not attested not anchored not stored refs pending

opPINN: Physics-Informed Neural Network with operator learning to approximate solutions to the Fokker-Planck-Landau equation

Hyung Ju Hwang, Jae Yong Lee, Juhi Jang

arxiv:2207.01765 v1 · 2022-07-05 · math.NA · cs.AI · 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{E5TRDRQXF74V3NSS4TH5FPOOK3}

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	2026-07-05T05:52:56.890770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276711c6172ff95db652e4cfd2bdce56d6de5d8d31d34aa7aa5630b11fc18f9e

Aliases

arxiv: 2207.01765 · arxiv_version: 2207.01765v1 · doi: 10.48550/arxiv.2207.01765 · pith_short_12: E5TRDRQXF74V · pith_short_16: E5TRDRQXF74V3NSS · pith_short_8: E5TRDRQX

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/E5TRDRQXF74V3NSS4TH5FPOOK3 \
  | 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: 276711c6172ff95db652e4cfd2bdce56d6de5d8d31d34aa7aa5630b11fc18f9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "080ee7ffb1d999ca5f69c9c586612974f4fb2012ceba3dcbc66269e322d4d6f9",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-07-05T01:56:51Z",
    "title_canon_sha256": "a2f75ac20e29818467f482d7be6d12d60fbe9b38709002bc0a0d54d8c2ebef0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.01765",
    "kind": "arxiv",
    "version": 1
  }
}