Pith Number

pith:TZMDHSGJ

pith:2013:TZMDHSGJXKD3776IV4NBH6LK4Z

not attested not anchored not stored refs pending

Fokker-Planck Equations for Stochastic Dynamical Systems with Symmetric L\'evy Motions

Jinqiao Duan, Ting Gao, Xiaofan Li

arxiv:1310.7677 v1 · 2013-10-29 · math.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{TZMDHSGJXKD3776IV4NBH6LK4Z}

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	2026-05-18T03:08:35.577845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5833c8c9ba87bfffc8af1a13f96ae67985f89c9bc1b59921811233cbcde4f0

Aliases

arxiv: 1310.7677 · arxiv_version: 1310.7677v1 · doi: 10.48550/arxiv.1310.7677 · pith_short_12: TZMDHSGJXKD3 · pith_short_16: TZMDHSGJXKD3776I · pith_short_8: TZMDHSGJ

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/TZMDHSGJXKD3776IV4NBH6LK4Z \
  | 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: 9e5833c8c9ba87bfffc8af1a13f96ae67985f89c9bc1b59921811233cbcde4f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f894ac442ebd2fc6c1d9fb4aadc9dddfc73855f43489f59b9663fe2d5a8dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-29T04:06:48Z",
    "title_canon_sha256": "bf148b7ea0b998a55896c053d34eb1b2ca73e0cee7de751035f6c5e408ac0658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7677",
    "kind": "arxiv",
    "version": 1
  }
}