Pith Number

pith:OX3Z4KHX

pith:2011:OX3Z4KHXWBBUTPJOUINSMWQCL4

not attested not anchored not stored refs pending

Compositions, Random Sums and Continued Random Fractions of Poisson and Fractional Poisson Processes

Enzo Orsingher, Federico Polito

arxiv:1107.2876 v1 · 2011-07-14 · 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{OX3Z4KHXWBBUTPJOUINSMWQCL4}

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	2026-05-18T03:29:40.886750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f79e28f7b04349bd2ea21b265a025f39fb6e9b57221cc1f687c67953246262

Aliases

arxiv: 1107.2876 · arxiv_version: 1107.2876v1 · doi: 10.48550/arxiv.1107.2876 · pith_short_12: OX3Z4KHXWBBU · pith_short_16: OX3Z4KHXWBBUTPJO · pith_short_8: OX3Z4KHX

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/OX3Z4KHXWBBUTPJOUINSMWQCL4 \
  | 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: 75f79e28f7b04349bd2ea21b265a025f39fb6e9b57221cc1f687c67953246262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0327269783ed5b4d2958de70d952b3030a26c13d1367e12781f33eaef7ffc083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-14T17:40:08Z",
    "title_canon_sha256": "bf09cc02dd06e9dbe62e0a9f1e8693cb34176625f9bbb39904ca43e4551d8079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2876",
    "kind": "arxiv",
    "version": 1
  }
}