Pith Number

pith:W4TEQPIO

pith:2013:W4TEQPIOSZTWL455KVOUSDXI37

not attested not anchored not stored refs pending

On the Mellin transforms of the perpetuity and the remainder variables associated to a subordinator

Francis Hirsch, Marc Yor

arxiv:1309.7801 v1 · 2013-09-30 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4TEQPIOSZTWL455KVOUSDXI37}

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	2026-05-18T03:11:48.217276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b726483d0e966765f3bd555d490ee8dfd5a413cb94f83333d03e433daa344ce5

Aliases

arxiv: 1309.7801 · arxiv_version: 1309.7801v1 · doi: 10.48550/arxiv.1309.7801 · pith_short_12: W4TEQPIOSZTW · pith_short_16: W4TEQPIOSZTWL455 · pith_short_8: W4TEQPIO

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/W4TEQPIOSZTWL455KVOUSDXI37 \
  | 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: b726483d0e966765f3bd555d490ee8dfd5a413cb94f83333d03e433daa344ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c22165ea4d668658a466ed086e25be700a0c8253d041f3f9e1f49327e190db",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-09-30T11:36:08Z",
    "title_canon_sha256": "e63593c7719905856c8bccabdd777a0b1586d15390077f16f59f3027fdb1d1a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7801",
    "kind": "arxiv",
    "version": 1
  }
}