Pith Number

pith:V4HQB6MF

pith:2016:V4HQB6MFJ2IKL6UCH6QQJYKYUJ

not attested not anchored not stored refs pending

Asymptotic behaviour of exponential functionals of L\'evy processes with applications to random processes in random environment

Charline Smadi, Juan Carlos Pardo, Sandra Palau

arxiv:1601.03463 v2 · 2016-01-14 · 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{V4HQB6MFJ2IKL6UCH6QQJYKYUJ}

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	2026-05-18T01:11:57.688804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0f00f9854e90a5fa823fa104e158a25c0ca8793437848bef2a92f5334b5309

Aliases

arxiv: 1601.03463 · arxiv_version: 1601.03463v2 · doi: 10.48550/arxiv.1601.03463 · pith_short_12: V4HQB6MFJ2IK · pith_short_16: V4HQB6MFJ2IKL6UC · pith_short_8: V4HQB6MF

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/V4HQB6MFJ2IKL6UCH6QQJYKYUJ \
  | 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: af0f00f9854e90a5fa823fa104e158a25c0ca8793437848bef2a92f5334b5309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bdb99f0e1c8804c239bd271e1c04642fa3b40ed4eb4460cb31df1d1c1df7c7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-14T01:47:08Z",
    "title_canon_sha256": "780d0a21e195d2f743689c28aedf5411c9b0a672d870d25ffb97cde55ceeac4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03463",
    "kind": "arxiv",
    "version": 2
  }
}