Pith Number

pith:VSJ3PJ7D

pith:2026:VSJ3PJ7DI3EJRP7MH4NAVDYGFJ

not attested not anchored not stored refs pending

A fast sum-of-Gaussians algorithm for the high-dimensional fractional Fokker-Planck equation

Dong Wang, Qi Zhou, Shidong Jiang

arxiv:2606.28184 v1 · 2026-06-26 · math.NA · 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{VSJ3PJ7DI3EJRP7MH4NAVDYGFJ}

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	2026-06-29T01:15:08.581979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac93b7a7e346c898bfec3f1a0a8f062a4ae5792a13792864bbb6fdddc465a8ae

Aliases

arxiv: 2606.28184 · arxiv_version: 2606.28184v1 · doi: 10.48550/arxiv.2606.28184 · pith_short_12: VSJ3PJ7DI3EJ · pith_short_16: VSJ3PJ7DI3EJRP7M · pith_short_8: VSJ3PJ7D

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/VSJ3PJ7DI3EJRP7MH4NAVDYGFJ \
  | 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: ac93b7a7e346c898bfec3f1a0a8f062a4ae5792a13792864bbb6fdddc465a8ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d54aba8707beae7247daa341bc0f0763dd20a0badcc35b3192a7dfe8c3b569",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-26T15:26:49Z",
    "title_canon_sha256": "fd53cd37ab241141ccb59f1ce53ce8f6b7b80782415a0787d350884b86eba5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28184",
    "kind": "arxiv",
    "version": 1
  }
}