Pith Number

pith:PFCH7GKY

pith:2016:PFCH7GKYZZNKJLXIVE5AEP66ZL

not attested not anchored not stored refs pending

Asymptotic results for exponential functionals of Levy processes

Wei Xu, Zenghu Li

arxiv:1601.02363 v2 · 2016-01-11 · 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{PFCH7GKYZZNKJLXIVE5AEP66ZL}

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	2026-05-18T01:21:10.968273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79447f9958ce5aa4aee8a93a023fdecae34a59223811924d0b398a93b68be3fc

Aliases

arxiv: 1601.02363 · arxiv_version: 1601.02363v2 · doi: 10.48550/arxiv.1601.02363 · pith_short_12: PFCH7GKYZZNK · pith_short_16: PFCH7GKYZZNKJLXI · pith_short_8: PFCH7GKY

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/PFCH7GKYZZNKJLXIVE5AEP66ZL \
  | 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: 79447f9958ce5aa4aee8a93a023fdecae34a59223811924d0b398a93b68be3fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e965ca4e746d4d6b6751a1721f2e3700d29c79e229c2b394175745fa42e89f47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-11T08:47:50Z",
    "title_canon_sha256": "f02c72d62a0dc03fb8bc828f3c4f9bd6e205113a20b58070c3f07ccf61768de2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02363",
    "kind": "arxiv",
    "version": 2
  }
}