Pith Number

pith:5Q4LZO5U

pith:2018:5Q4LZO5UPJM3YEBMD4G7BBG46M

not attested not anchored not stored refs pending

One dimensional critical Kinetic Fokker-Planck equations, Bessel and stable processes

Camille Tardif, Nicolas Fournier

arxiv:1805.09728 v1 · 2018-05-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Q4LZO5UPJM3YEBMD4G7BBG46M}

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	2026-05-18T00:15:02.999717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec38bcbbb47a59bc102c1f0df084dcf31c0ffb2fbc5a30325fdab8aa83bda13b

Aliases

arxiv: 1805.09728 · arxiv_version: 1805.09728v1 · doi: 10.48550/arxiv.1805.09728 · pith_short_12: 5Q4LZO5UPJM3 · pith_short_16: 5Q4LZO5UPJM3YEBM · pith_short_8: 5Q4LZO5U

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/5Q4LZO5UPJM3YEBMD4G7BBG46M \
  | 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: ec38bcbbb47a59bc102c1f0df084dcf31c0ffb2fbc5a30325fdab8aa83bda13b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730f4f650bfe460f16e6c4cf9952f972b671fb48ff41e3449f3f6d3a6590eadb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-24T15:26:12Z",
    "title_canon_sha256": "a7582319c2ddd35afa0f568d8ad87af4a56d166b7948dd16ad48a9b6beead3f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09728",
    "kind": "arxiv",
    "version": 1
  }
}