Pith Number

pith:V27QOQXO

pith:2011:V27QOQXO4R6FC5VBA4XWEFSYOR

not attested not anchored not stored refs pending

Simply generated trees, conditioned Galton--Watson trees, random allocations and condensation

Svante Janson

arxiv:1112.0510 v1 · 2011-12-02 · 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{V27QOQXO4R6FC5VBA4XWEFSYOR}

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	2026-05-18T04:07:07.114003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aebf0742eee47c5176a1072f6216587476f4dba71ef6a253d6fb523cab4b6b4f

Aliases

arxiv: 1112.0510 · arxiv_version: 1112.0510v1 · doi: 10.48550/arxiv.1112.0510 · pith_short_12: V27QOQXO4R6F · pith_short_16: V27QOQXO4R6FC5VB · pith_short_8: V27QOQXO

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/V27QOQXO4R6FC5VBA4XWEFSYOR \
  | 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: aebf0742eee47c5176a1072f6216587476f4dba71ef6a253d6fb523cab4b6b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d26631a129350d267e79e1242bdf6673c837d9937af46a264764092e65159ac7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-02T17:14:52Z",
    "title_canon_sha256": "9a4cf75b1d4ca747845d851f18353706d9f09d29226f0d788ea007889d516ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0510",
    "kind": "arxiv",
    "version": 1
  }
}