Pith Number

pith:KKULLPUB

pith:2018:KKULLPUBD6F5FE4S24GMPFR2AB

not attested not anchored not stored refs pending

Fluctuation theory for L\'evy processes with completely monotone jumps

Mateusz Kwa\'snicki

arxiv:1811.06617 v1 · 2018-11-15 · 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{KKULLPUBD6F5FE4S24GMPFR2AB}

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	2026-05-18T00:00:34.356576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a8b5be811f8bd29392d70cc7963a00760e8abafbdb1f5b2b4f280782192239

Aliases

arxiv: 1811.06617 · arxiv_version: 1811.06617v1 · doi: 10.48550/arxiv.1811.06617 · pith_short_12: KKULLPUBD6F5 · pith_short_16: KKULLPUBD6F5FE4S · pith_short_8: KKULLPUB

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/KKULLPUBD6F5FE4S24GMPFR2AB \
  | 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: 52a8b5be811f8bd29392d70cc7963a00760e8abafbdb1f5b2b4f280782192239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5fde9eb2694c0e21df39dd9d3e778b9726a9dfec09a1a68debc07cbbb8b3545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-15T22:53:03Z",
    "title_canon_sha256": "a13a36d1ef38d7cb92fa430584faa21a9b10809932a4fa39fba8ee8a5747d8eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06617",
    "kind": "arxiv",
    "version": 1
  }
}