Pith Number

pith:RBVZVUOM

pith:2008:RBVZVUOM4VSIYUMPZ7HBQMIOV7

not attested not anchored not stored refs pending

Proof(s) of the Lamperti representation of Continuous-State Branching Processes

Amaury Lambert (PMA), Geronimo Uribe Bravo, Maria-Emilia Caballero

arxiv:0802.2693 v2 · 2008-02-19 · 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{RBVZVUOM4VSIYUMPZ7HBQMIOV7}

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	2026-05-18T04:27:34.522065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

886b9ad1cce5648c518fcfce18310eafc2d69f43b355f0f35f1c7df2a127e632

Aliases

arxiv: 0802.2693 · arxiv_version: 0802.2693v2 · doi: 10.48550/arxiv.0802.2693 · pith_short_12: RBVZVUOM4VSI · pith_short_16: RBVZVUOM4VSIYUMP · pith_short_8: RBVZVUOM

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/RBVZVUOM4VSIYUMPZ7HBQMIOV7 \
  | 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: 886b9ad1cce5648c518fcfce18310eafc2d69f43b355f0f35f1c7df2a127e632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ceb66f784280fc81cb8dadae99b55dcc2669d4ac39f87dcee11baf30f2f612d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-02-19T18:05:56Z",
    "title_canon_sha256": "23ec33ba49325fa9afa1f476bf629e001c0c3e120cbe32c9d3816332d187af54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2693",
    "kind": "arxiv",
    "version": 2
  }
}