Pith Number

pith:U57S5IHZ

pith:2023:U57S5IHZM445HU7UITQQ5SDPE7

not attested not anchored not stored refs pending

Bivariate Bernstein-gamma functions, potential measures, and asymptotics of exponential functionals of L\'evy processes

Martin Minchev, Mladen Savov

arxiv:2308.11363 v2 · 2023-08-22 · 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{U57S5IHZM445HU7UITQQ5SDPE7}

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	2026-07-05T11:21:29.885084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77f2ea0f96739d3d3f444e10ec86f27d21f05775fef71a6a02ffb2cfcd7f5c8

Aliases

arxiv: 2308.11363 · arxiv_version: 2308.11363v2 · doi: 10.48550/arxiv.2308.11363 · pith_short_12: U57S5IHZM445 · pith_short_16: U57S5IHZM445HU7U · pith_short_8: U57S5IHZ

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/U57S5IHZM445HU7UITQQ5SDPE7 \
  | 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: a77f2ea0f96739d3d3f444e10ec86f27d21f05775fef71a6a02ffb2cfcd7f5c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a656405f2c97d0408dd417cc16de88341455dcfee416cc6076c091e38133bf0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-08-22T11:36:16Z",
    "title_canon_sha256": "90d9701abce60aacbe491c0cfba1fc432b2496b6132ad0e3e727b77abf0aea3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.11363",
    "kind": "arxiv",
    "version": 2
  }
}