Pith Number

pith:5GDFDKQ5

pith:2011:5GDFDKQ5UPLSFSJBNFVI2QQQYW

not attested not anchored not stored refs pending

A Wiener-Hopf Type Factorization for the Exponential Functional of Levy Processes

Juan Carlos Pardo Milan, Mladen Savov, Pierre Patie

arxiv:1105.0062 v2 · 2011-04-30 · 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{5GDFDKQ5UPLSFSJBNFVI2QQQYW}

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	2026-05-18T02:58:00.982221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98651aa1da3d722c921696a8d4210c592201b591e421ce06a5a6751dc077c77

Aliases

arxiv: 1105.0062 · arxiv_version: 1105.0062v2 · doi: 10.48550/arxiv.1105.0062 · pith_short_12: 5GDFDKQ5UPLS · pith_short_16: 5GDFDKQ5UPLSFSJB · pith_short_8: 5GDFDKQ5

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/5GDFDKQ5UPLSFSJBNFVI2QQQYW \
  | 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: e98651aa1da3d722c921696a8d4210c592201b591e421ce06a5a6751dc077c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40183065562c107778e710387e4cb009256fb90b382aad346da1a6b913a640a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-30T08:42:45Z",
    "title_canon_sha256": "d6cf2d826d098a5580dfd20a9f33e5a08b6c3e1d56854ba2f0a8720b197075de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0062",
    "kind": "arxiv",
    "version": 2
  }
}