Pith Number

pith:UA6XPJI2

pith:2011:UA6XPJI2OXVUGIVO7SVCKQRG6G

not attested not anchored not stored refs pending

On the density of exponential functionals of L\'evy processes

Juan Carlos Pardo, Kees van Schaik, Victor Rivero

arxiv:1107.3760 v1 · 2011-07-19 · 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{UA6XPJI2OXVUGIVO7SVCKQRG6G}

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	2026-05-18T04:17:16.041442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03d77a51a75eb4322aefcaa254226f1a7621dba25267e0508fbee8419fb2d84

Aliases

arxiv: 1107.3760 · arxiv_version: 1107.3760v1 · doi: 10.48550/arxiv.1107.3760 · pith_short_12: UA6XPJI2OXVU · pith_short_16: UA6XPJI2OXVUGIVO · pith_short_8: UA6XPJI2

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/UA6XPJI2OXVUGIVO7SVCKQRG6G \
  | 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: a03d77a51a75eb4322aefcaa254226f1a7621dba25267e0508fbee8419fb2d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdb74bd732d7b0f8bea755a17e65b13beaa96948570bfa038b46a67a5068ca90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-19T16:20:00Z",
    "title_canon_sha256": "7ed7c1f7c68cc668ef30d34f4729ba093c7b8eb83b2bfef0c4009560bc3e122b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3760",
    "kind": "arxiv",
    "version": 1
  }
}