Pith Number

pith:QFBTASNR

pith:2010:QFBTASNRQYUXYKV4JUG3XMBK2X

not attested not anchored not stored refs pending

On the distribution of exponential functionals for Levy processes with jumps of rational transform

Alexey Kuznetsov

arxiv:1011.3856 v2 · 2010-11-16 · 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{QFBTASNRQYUXYKV4JUG3XMBK2X}

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	2026-05-18T04:03:45.464609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81433049b186297c2abc4d0dbbb02ad5f8c388183e0f3382def8d72ec362f6ae

Aliases

arxiv: 1011.3856 · arxiv_version: 1011.3856v2 · doi: 10.48550/arxiv.1011.3856 · pith_short_12: QFBTASNRQYUX · pith_short_16: QFBTASNRQYUXYKV4 · pith_short_8: QFBTASNR

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/QFBTASNRQYUXYKV4JUG3XMBK2X \
  | 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: 81433049b186297c2abc4d0dbbb02ad5f8c388183e0f3382def8d72ec362f6ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435c3b62d7fad236efa60ea198285bd1862a295afd5037c1cf80a4646b517918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-16T23:39:57Z",
    "title_canon_sha256": "2bd2c5d9ae9d5115fed1c574684138ca7b49f0e76940385f57df26090df06f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3856",
    "kind": "arxiv",
    "version": 2
  }
}