Pith Number

pith:EKX4PEWD

pith:2013:EKX4PEWDATAEQM7YUE4S4YAEP5

not attested not anchored not stored refs pending

Asymptotic behavior of a multi-type nearly critical Galton--Watson processes with immigration

Gyula Pap, L\'aszl\'o Gy\"orfi, M\'arton Isp\'any, P\'eter Kevei

arxiv:1307.7917 v1 · 2013-07-30 · 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{EKX4PEWDATAEQM7YUE4S4YAEP5}

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	2026-05-18T03:17:13.054192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22afc792c304c04833f8a1392e60047f44647fe38e55ea1369da4f496d720496

Aliases

arxiv: 1307.7917 · arxiv_version: 1307.7917v1 · doi: 10.48550/arxiv.1307.7917 · pith_short_12: EKX4PEWDATAE · pith_short_16: EKX4PEWDATAEQM7Y · pith_short_8: EKX4PEWD

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/EKX4PEWDATAEQM7YUE4S4YAEP5 \
  | 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: 22afc792c304c04833f8a1392e60047f44647fe38e55ea1369da4f496d720496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34de674b77aefb32fae19caf6f539ec7190485e22441450c802e114192ed88a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-30T11:34:29Z",
    "title_canon_sha256": "d5b4b2844f7d024fe537453cb9fb5e071cbcab35466e1d6f57a28b3071486216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7917",
    "kind": "arxiv",
    "version": 1
  }
}