Pith Number

pith:7EI3D5H2

pith:2018:7EI3D5H2UW4KYSV645Y2QDHDKP

not attested not anchored not stored refs pending

Recursive functions on conditional Galton--Watson trees

Luc Devroye, Nicolas Broutin, Nicolas Fraiman

arxiv:1805.09425 v4 · 2018-05-23 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EI3D5H2UW4KYSV645Y2QDHDKP}

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	2026-07-05T00:49:33.873362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f911b1f4faa5b8ac4abee771a80ce353f095d3f3589f72385b50bdedbbc752da

Aliases

arxiv: 1805.09425 · arxiv_version: 1805.09425v4 · doi: 10.48550/arxiv.1805.09425 · pith_short_12: 7EI3D5H2UW4K · pith_short_16: 7EI3D5H2UW4KYSV6 · pith_short_8: 7EI3D5H2

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/7EI3D5H2UW4KYSV645Y2QDHDKP \
  | 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: f911b1f4faa5b8ac4abee771a80ce353f095d3f3589f72385b50bdedbbc752da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f52c41ecef7a2b9cf12052d47999e06522b3677116365ee6f9ae95fd9bfdae1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-23T21:07:24Z",
    "title_canon_sha256": "d7eb6eeaebc105c00145335f962b7a874c7c992f2670755ca2c202c9c57c3ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09425",
    "kind": "arxiv",
    "version": 4
  }
}