Pith Number

pith:PEXFOG7B

pith:2026:PEXFOG7BQPU5S7KHFYYS57VNZI

not attested not anchored not stored refs pending

A Kernel Formula for Kinetic Fokker-Planck Equations

Fuqun Han, Wuchen Li

arxiv:2608.05770 v1 · 2026-08-06 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEXFOG7BQPU5S7KHFYYS57VNZI}

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	2026-08-07T00:52:43.444174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792e571be183e9d97d472e312efeadca098b23556117c2287940caf677b91aac

Aliases

arxiv: 2608.05770 · arxiv_version: 2608.05770v1 · doi: 10.48550/arxiv.2608.05770 · pith_short_12: PEXFOG7BQPU5 · pith_short_16: PEXFOG7BQPU5S7KH · pith_short_8: PEXFOG7B

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/PEXFOG7BQPU5S7KHFYYS57VNZI \
  | 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: 792e571be183e9d97d472e312efeadca098b23556117c2287940caf677b91aac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda15867ddbfe95b69fc3b0eb15a5e0291b156bd16af32f58b6f04cb653a6906",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-08-06T09:01:30Z",
    "title_canon_sha256": "48404eaa8a3f208293b2e6bab81b108dabd80330bfbad3b9dbddfddd76be99a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05770",
    "kind": "arxiv",
    "version": 1
  }
}