Pith Number

pith:UCFJW3KO

pith:2015:UCFJW3KOAACHV75INMTG3RHZ5Q

not attested not anchored not stored refs pending

Compound Poisson process with a Poisson subordinator

Antonio Di Crescenzo, Barbara Martinucci, Shelemyahu Zacks

arxiv:1511.05192 v1 · 2015-11-16 · 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{UCFJW3KOAACHV75INMTG3RHZ5Q}

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	2026-05-18T01:26:49.809699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08a9b6d4e00047affa86b266dc4f9ec05598afe2dff264e2e3a3c6b14c91eaa

Aliases

arxiv: 1511.05192 · arxiv_version: 1511.05192v1 · doi: 10.48550/arxiv.1511.05192 · pith_short_12: UCFJW3KOAACH · pith_short_16: UCFJW3KOAACHV75I · pith_short_8: UCFJW3KO

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/UCFJW3KOAACHV75INMTG3RHZ5Q \
  | 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: a08a9b6d4e00047affa86b266dc4f9ec05598afe2dff264e2e3a3c6b14c91eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb7d328eaf69355731a47262f2b4a94066c3a04f5c0eb563b441c275d173f9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-16T21:47:24Z",
    "title_canon_sha256": "ab7449fdbbf61cdea6e21cb823ea65a5e149bf1be3983d90fef9dd0c939cf8a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05192",
    "kind": "arxiv",
    "version": 1
  }
}