Pith Number

pith:35JD2ZXG

pith:2011:35JD2ZXGP4SJNVK25X7FANK4R3

not attested not anchored not stored refs pending

Survival of inhomogeneous Galton-Watson processes

Erik Broman, Ronald Meester

arxiv:1112.4968 v1 · 2011-12-21 · 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{35JD2ZXGP4SJNVK25X7FANK4R3}

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	2026-05-18T04:05:56.671866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df523d66e67f2496d55aedfe50355c8edab917b7068889eecccccfd739c1751f

Aliases

arxiv: 1112.4968 · arxiv_version: 1112.4968v1 · doi: 10.48550/arxiv.1112.4968 · pith_short_12: 35JD2ZXGP4SJ · pith_short_16: 35JD2ZXGP4SJNVK2 · pith_short_8: 35JD2ZXG

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/35JD2ZXGP4SJNVK25X7FANK4R3 \
  | 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: df523d66e67f2496d55aedfe50355c8edab917b7068889eecccccfd739c1751f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08bda739a8d19bc42e758ab4b4c0fc6d50ffd34e88e38f11780b0ae8237d74ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-21T09:54:45Z",
    "title_canon_sha256": "c018fcd8b91b9578b6b57939eb39fe3e8fd3adf0d9ec7397ba36aefc0496088c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4968",
    "kind": "arxiv",
    "version": 1
  }
}