Pith Number

pith:WHG46E32

pith:2018:WHG46E323NGGYOAAA3DKDRMINL

not attested not anchored not stored refs pending

Inhomogeneous phase--type distributions and heavy tails

Hansj\"org Albrecher, Mogens Bladt

arxiv:1812.04139 v2 · 2018-12-10 · 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{WHG46E323NGGYOAAA3DKDRMINL}

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	2026-05-17T23:42:02.735041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1cdcf137adb4c6c380006c6a1c5886afbd76311edd6bea6fd82abdb13cebe3f

Aliases

arxiv: 1812.04139 · arxiv_version: 1812.04139v2 · doi: 10.48550/arxiv.1812.04139 · pith_short_12: WHG46E323NGG · pith_short_16: WHG46E323NGGYOAA · pith_short_8: WHG46E32

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/WHG46E323NGGYOAAA3DKDRMINL \
  | 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: b1cdcf137adb4c6c380006c6a1c5886afbd76311edd6bea6fd82abdb13cebe3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bc9c4dbf3c30481e5b353e1bf036963f1c8d841c90191d23a6e8c9c65963342",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-10T22:39:43Z",
    "title_canon_sha256": "6fae660cfd12670e4bbdd1ebf0fdb301406b3156f58f66f8abbcc3af027a6f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04139",
    "kind": "arxiv",
    "version": 2
  }
}