Pith Number

pith:JGM5RPF6

pith:2009:JGM5RPF63DKUJVULMVH25ECFDN

not attested not anchored not stored refs pending

$\alpha$-Time Fractional Brownian Motion: PDE Connections and Local Times

Dongsheng Wu, Erkan Nane, Yimin Xiao

arxiv:0911.0357 v3 · 2009-11-02 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGM5RPF63DKUJVULMVH25ECFDN}

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	2026-05-18T04:29:35.136881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4999d8bcbed8d544d68b654fae90451b6e9261d873306fca342b8de3dd468655

Aliases

arxiv: 0911.0357 · arxiv_version: 0911.0357v3 · doi: 10.48550/arxiv.0911.0357 · pith_short_12: JGM5RPF63DKU · pith_short_16: JGM5RPF63DKUJVUL · pith_short_8: JGM5RPF6

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/JGM5RPF63DKUJVULMVH25ECFDN \
  | 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: 4999d8bcbed8d544d68b654fae90451b6e9261d873306fca342b8de3dd468655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d303e0a6734ec6e24ea13b3ea832dac0a97d8b764344e6930905d0514423c86d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-02T17:10:24Z",
    "title_canon_sha256": "26af623c874b3bd6392fb98a577049ded21e8423f27e01d1033457a790e42613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0357",
    "kind": "arxiv",
    "version": 3
  }
}