Pith Number

pith:M3TAM5EG

pith:2019:M3TAM5EGTONJPU4LZXPY766REM

not attested not anchored not stored refs pending

Boundary behavior of multi-type continuous-state branching processes with immigration

Barbara R\"udiger, Martin Friesen, Peng Jin

arxiv:1902.01162 v1 · 2019-02-04 · 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{M3TAM5EGTONJPU4LZXPY766REM}

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.

Cited by

1 paper in Pith

On the anisotropic stable JCIR process

Receipt and verification

First computed	2026-07-05T04:05:27.706646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e60674869b9a97d38bcddf8ffbd1232e5ca1d28602d8fa29e44825478f7028

Aliases

arxiv: 1902.01162 · arxiv_version: 1902.01162v1 · doi: 10.48550/arxiv.1902.01162 · pith_short_12: M3TAM5EGTONJ · pith_short_16: M3TAM5EGTONJPU4L · pith_short_8: M3TAM5EG

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/M3TAM5EGTONJPU4LZXPY766REM \
  | 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: 66e60674869b9a97d38bcddf8ffbd1232e5ca1d28602d8fa29e44825478f7028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38057a751b788ebf335f6fe691450aab9cb9c1def47f22c9e744b09e74f16fc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-02-04T13:15:45Z",
    "title_canon_sha256": "c1eb75c9ae2cf241b4cac5f950de3cffacb25d38d0c0d78523fa725e0dc496ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01162",
    "kind": "arxiv",
    "version": 1
  }
}