Pith Number

pith:QIK3Z7Y3

pith:2014:QIK3Z7Y3O6JQT6BX5EIXK2HQCA

not attested not anchored not stored refs pending

Stochastic Ordering of Infinite Binomial Galton-Watson Trees

Erik I. Broman

arxiv:1403.4834 v1 · 2014-03-19 · 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{QIK3Z7Y3O6JQT6BX5EIXK2HQCA}

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	2026-05-18T02:56:04.368882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8215bcff1b779309f837e9117568f0101d4cf877c633cc3e886bbcecf4514614

Aliases

arxiv: 1403.4834 · arxiv_version: 1403.4834v1 · doi: 10.48550/arxiv.1403.4834 · pith_short_12: QIK3Z7Y3O6JQ · pith_short_16: QIK3Z7Y3O6JQT6BX · pith_short_8: QIK3Z7Y3

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/QIK3Z7Y3O6JQT6BX5EIXK2HQCA \
  | 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: 8215bcff1b779309f837e9117568f0101d4cf877c633cc3e886bbcecf4514614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c2a00b874e5fad01ade6ced2b4124a9d60342f356439cd6002d6f52c43f4a08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-19T15:01:24Z",
    "title_canon_sha256": "ee4573bc37cf1025f154ab07e188249d16fb91f26d48cff7ef3e3f2ff428fe7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4834",
    "kind": "arxiv",
    "version": 1
  }
}