Pith Number

pith:LACWBLMZ

pith:2026:LACWBLMZJT4TWUDEI6FMOJM55U

not attested not anchored not stored refs pending

Operator learning for solving Fokker-Planck equations with various initial conditions

Fabio Nobile, Li Zeng, Tao Zhou, Xiaoliang Wan, Yaobin Wang

arxiv:2606.09434 v1 · 2026-06-08 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LACWBLMZJT4TWUDEI6FMOJM55U}

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	2026-06-09T02:08:48.316704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

580560ad994cf93b5064478ac7259ded3c49683a6112dde8149e186a926977c5

Aliases

arxiv: 2606.09434 · arxiv_version: 2606.09434v1 · doi: 10.48550/arxiv.2606.09434 · pith_short_12: LACWBLMZJT4T · pith_short_16: LACWBLMZJT4TWUDE · pith_short_8: LACWBLMZ

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/LACWBLMZJT4TWUDEI6FMOJM55U \
  | 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: 580560ad994cf93b5064478ac7259ded3c49683a6112dde8149e186a926977c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb8ced14281926f7f7861aa492d8aca8e34a5315f66defdf8471f695d990eaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-08T12:44:13Z",
    "title_canon_sha256": "492dff846e538656bf5c561890f9038bad4450f6bb697a8279c178b130325532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09434",
    "kind": "arxiv",
    "version": 1
  }
}