Pith Number

pith:TP3ZGFYG

pith:2010:TP3ZGFYGLP3VLNSQT4SDPKSZPN

not attested not anchored not stored refs pending

Fractional L\'evy processes as a result of compact interval integral transformation

Heikki Tikanm\"aki, Yuliya Mishura

arxiv:1002.0780 v3 · 2010-02-03 · 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{TP3ZGFYGLP3VLNSQT4SDPKSZPN}

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	2026-05-18T04:08:34.987787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf79317065bf755b6509f2437aa597b705d5cf6624b343ab496c797fca31c3f

Aliases

arxiv: 1002.0780 · arxiv_version: 1002.0780v3 · doi: 10.48550/arxiv.1002.0780 · pith_short_12: TP3ZGFYGLP3V · pith_short_16: TP3ZGFYGLP3VLNSQ · pith_short_8: TP3ZGFYG

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/TP3ZGFYGLP3VLNSQT4SDPKSZPN \
  | 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: 9bf79317065bf755b6509f2437aa597b705d5cf6624b343ab496c797fca31c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272a1813ea7e331f092fa369806ca3b1d6984f94e82e16a46770d71ea3ff4755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-02-03T16:53:42Z",
    "title_canon_sha256": "1d1fb7c4d2d91d8a72f8e5c93d2052bd13cd99fb9768e294e421abbc3437d0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0780",
    "kind": "arxiv",
    "version": 3
  }
}