Pith Number

pith:J4LOGA46

pith:2010:J4LOGA46EWPLH2D3GAONEFEUHI

not attested not anchored not stored refs pending

Fluctuations of stable processes and exponential functionals of hypergeometric Levy processes

Alexey Kuznetsov, Juan Carlos Pardo

arxiv:1012.0817 v1 · 2010-12-03 · 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{J4LOGA46EWPLH2D3GAONEFEUHI}

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	2026-05-18T04:34:09.477457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f16e3039e259eb3e87b301cd214943a04fdbe76531da0e5954f73ae1ca503d5

Aliases

arxiv: 1012.0817 · arxiv_version: 1012.0817v1 · doi: 10.48550/arxiv.1012.0817 · pith_short_12: J4LOGA46EWPL · pith_short_16: J4LOGA46EWPLH2D3 · pith_short_8: J4LOGA46

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/J4LOGA46EWPLH2D3GAONEFEUHI \
  | 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: 4f16e3039e259eb3e87b301cd214943a04fdbe76531da0e5954f73ae1ca503d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b35f2939237fc8eedba12b0b52e1908ef3f0e17d7994dea0201fce9510f7c64b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-03T19:02:10Z",
    "title_canon_sha256": "cfb39f825ca939b4e14ec5e76d09386ba5f1641d39ebac909e0f2e63b9aeb164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0817",
    "kind": "arxiv",
    "version": 1
  }
}