Pith Number

pith:47GRGPRH

pith:2019:47GRGPRHRVOQM3XKS46UGYDNEP

not attested not anchored not stored refs pending

On the maximal offspring in a subcritical branching process

Benedikt Stufler

arxiv:1901.04603 v2 · 2019-01-14 · 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{47GRGPRHRVOQM3XKS46UGYDNEP}

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

Local convergence of random planar graphs

Receipt and verification

First computed	2026-07-05T02:17:17.745818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7cd133e278d5d066eea973d43606d23eb57ef10f60ea9f0407de5b19dab0e4d

Aliases

arxiv: 1901.04603 · arxiv_version: 1901.04603v2 · doi: 10.48550/arxiv.1901.04603 · pith_short_12: 47GRGPRHRVOQ · pith_short_16: 47GRGPRHRVOQM3XK · pith_short_8: 47GRGPRH

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/47GRGPRHRVOQM3XKS46UGYDNEP \
  | 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: e7cd133e278d5d066eea973d43606d23eb57ef10f60ea9f0407de5b19dab0e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "429dd5fb929c24f7765768be7061f067e14f253c31c8022b5720ae126bdeb8c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-14T23:24:55Z",
    "title_canon_sha256": "d61f4e41b3055556843b90d821de62d62ce75a8c14fb15e62275acabc4c269cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04603",
    "kind": "arxiv",
    "version": 2
  }
}