Pith Number

pith:U4V2YCJ6

pith:2018:U4V2YCJ6RLPVOMNGNLWATRCXZG

not attested not anchored not stored refs pending

Regularly varying nonstationary second-order Galton-Watson processes with immigration

Gyula Pap, Zsuzsanna B\H{o}sze

arxiv:1805.00820 v1 · 2018-05-01 · 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{U4V2YCJ6RLPVOMNGNLWATRCXZG}

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	2026-05-18T00:16:57.621457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72bac093e8adf5731a66aec09c457c9a7612eb96afc4aba43e9482789177d98

Aliases

arxiv: 1805.00820 · arxiv_version: 1805.00820v1 · doi: 10.48550/arxiv.1805.00820 · pith_short_12: U4V2YCJ6RLPV · pith_short_16: U4V2YCJ6RLPVOMNG · pith_short_8: U4V2YCJ6

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/U4V2YCJ6RLPVOMNGNLWATRCXZG \
  | 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: a72bac093e8adf5731a66aec09c457c9a7612eb96afc4aba43e9482789177d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb4bb17fe114a1b4258ece82e4c0a2d1178a5f7062adbcb798ac087d897c1915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-01T09:31:04Z",
    "title_canon_sha256": "cd1bb61ca06a1e98cabdeb153ac429586796594d5cd7b6ce37a901abc0f925d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00820",
    "kind": "arxiv",
    "version": 1
  }
}