Pith Number

pith:UZHQ6ZLB

pith:2017:UZHQ6ZLB6DUNHVEKOFZK3E7PRX

not attested not anchored not stored refs pending

Moments of continuous-state branching processes with or without immigration

Lina Ji, Zenghu Li

arxiv:1702.08698 v1 · 2017-02-28 · 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{UZHQ6ZLB6DUNHVEKOFZK3E7PRX}

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	2026-05-18T00:49:48.100441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a64f0f6561f0e8d3d48a7172ad93ef8dd4ce6ca45a6fcce277e089bfbf2407f1

Aliases

arxiv: 1702.08698 · arxiv_version: 1702.08698v1 · doi: 10.48550/arxiv.1702.08698 · pith_short_12: UZHQ6ZLB6DUN · pith_short_16: UZHQ6ZLB6DUNHVEK · pith_short_8: UZHQ6ZLB

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/UZHQ6ZLB6DUNHVEKOFZK3E7PRX \
  | 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: a64f0f6561f0e8d3d48a7172ad93ef8dd4ce6ca45a6fcce277e089bfbf2407f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d18a94106e5698b30af9cc02c1a45431bfc20b020cbf4e8a882d32a4a211277b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-28T08:55:09Z",
    "title_canon_sha256": "58610d24b1e93909ae823feb40c90d602f43eebcd3a5e94025074d277527cec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08698",
    "kind": "arxiv",
    "version": 1
  }
}