Pith Number

pith:BGHSTUXW

pith:2016:BGHSTUXW4YGX6CXWW23K5UUGFF

not attested not anchored not stored refs pending

Coagulation and universal scaling limits for critical Galton-Watson processes

Gautam Iyer, Nicholas Leger, Robert L. Pego

arxiv:1610.04647 v3 · 2016-10-14 · 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{BGHSTUXW4YGX6CXWW23K5UUGFF}

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	2026-05-18T00:23:59.191903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098f29d2f6e60d7f0af6b6b6aed286296300c66bf8ed312c57d5b903a6a69024

Aliases

arxiv: 1610.04647 · arxiv_version: 1610.04647v3 · doi: 10.48550/arxiv.1610.04647 · pith_short_12: BGHSTUXW4YGX · pith_short_16: BGHSTUXW4YGX6CXW · pith_short_8: BGHSTUXW

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/BGHSTUXW4YGX6CXWW23K5UUGFF \
  | 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: 098f29d2f6e60d7f0af6b6b6aed286296300c66bf8ed312c57d5b903a6a69024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25675326b2f1aec9e7b1b59c555f93451bc27bfa113f89d63c22cf525cebc6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-14T21:21:55Z",
    "title_canon_sha256": "0413beba1d4e129eb06c11d58dd33e08e3c1acf2b740f967d1c965dc065f4bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04647",
    "kind": "arxiv",
    "version": 3
  }
}