Pith Number

pith:ICJ5MYYE

pith:2010:ICJ5MYYEH76ZRMZ2WRW7YB2VUA

not attested not anchored not stored refs pending

A Lamperti-type representation of continuous-state branching processes with immigration

Ger\'onimo Uribe Bravo, Jos\'e Luis P\'erez Garmendia, M. Emilia Caballero

arxiv:1012.2346 v4 · 2010-12-10 · 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{ICJ5MYYEH76ZRMZ2WRW7YB2VUA}

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	2026-05-18T03:24:52.795938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4093d663043ffd98b33ab46dfc0755a02dc70e2abc993ad17274e32506a645dc

Aliases

arxiv: 1012.2346 · arxiv_version: 1012.2346v4 · doi: 10.48550/arxiv.1012.2346 · pith_short_12: ICJ5MYYEH76Z · pith_short_16: ICJ5MYYEH76ZRMZ2 · pith_short_8: ICJ5MYYE

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/ICJ5MYYEH76ZRMZ2WRW7YB2VUA \
  | 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: 4093d663043ffd98b33ab46dfc0755a02dc70e2abc993ad17274e32506a645dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a3086257be348d9322a20e3aa5226c783839d79c475547cd9ea5bdf98ccc80c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-10T18:56:04Z",
    "title_canon_sha256": "69676ae23f7e703e651bf29aff1fdd6abb58e56a0db8eaf1691029759afcf2b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2346",
    "kind": "arxiv",
    "version": 4
  }
}