Pith Number

pith:GBNRTP2Y

pith:2013:GBNRTP2YP7D46VHQQ4GXBRAZJ5

not attested not anchored not stored refs pending

Statistical inference for exponential functionals of L\'evy processes

Denis Belomestny, Vladimir Panov

arxiv:1312.4731 v1 · 2013-12-17 · stat.OT · 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{GBNRTP2YP7D46VHQQ4GXBRAZJ5}

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	2026-05-18T03:03:55.645599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

305b19bf587fc7cf54f0870d70c4194f57c66c86a14e84978491a50050423612

Aliases

arxiv: 1312.4731 · arxiv_version: 1312.4731v1 · doi: 10.48550/arxiv.1312.4731 · pith_short_12: GBNRTP2YP7D4 · pith_short_16: GBNRTP2YP7D46VHQ · pith_short_8: GBNRTP2Y

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/GBNRTP2YP7D46VHQQ4GXBRAZJ5 \
  | 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: 305b19bf587fc7cf54f0870d70c4194f57c66c86a14e84978491a50050423612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5709c24c0535972ed64649d0b8fa6fa2d28a16c8a8d4c0dfb4a61c0a26e09a8f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.OT",
    "submitted_at": "2013-12-17T11:51:36Z",
    "title_canon_sha256": "e3f96359583b6ea1ee4c21cb7b2f61444253276dcda3183aa90be967e3cc74b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4731",
    "kind": "arxiv",
    "version": 1
  }
}