pith. sign in
Pith Number

pith:PQJ5TV6X

pith:2011:PQJ5TV6XSMHJYULD4SCYV7BEDD
not attested not anchored not stored refs pending

Levy process simulation by stochastic step functions

Fred Espen Benth, Torquil Macdonald S{\o}rensen

arxiv:1110.2367 v1 · 2011-10-11 · math.PR · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PQJ5TV6XSMHJYULD4SCYV7BEDD}

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 2026-05-18T01:25:18.604366Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7c13d9d7d7930e9c5163e4858afc2418f8b6d3bf44e97c9c25ad114b075dea34

Aliases

arxiv: 1110.2367 · arxiv_version: 1110.2367v1 · doi: 10.48550/arxiv.1110.2367 · pith_short_12: PQJ5TV6XSMHJ · pith_short_16: PQJ5TV6XSMHJYULD · pith_short_8: PQJ5TV6X
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PQJ5TV6XSMHJYULD4SCYV7BEDD \
  | 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: 7c13d9d7d7930e9c5163e4858afc2418f8b6d3bf44e97c9c25ad114b075dea34
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "96ff652f334635758fb739f93afdc20a1b28a2b52a61dd0b524328d85216b454",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-11T13:23:51Z",
    "title_canon_sha256": "af30ecc141700d91f19bf3dbec9067b7fd0c7a6a91aa6b750e6811bf22acc109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2367",
    "kind": "arxiv",
    "version": 1
  }
}