Pith Number

pith:5I5BE5TT

pith:2010:5I5BE5TTXQTNLRMOF5QERVGMVR

not attested not anchored not stored refs pending

Large deviation results for Critical Multitype Galton-Watson trees

Kwabena Doku-Amponsah

arxiv:1009.3036 v6 · 2010-09-15 · math.PR · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5I5BE5TTXQTNLRMOF5QERVGMVR}

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	2026-05-18T00:38:12.129128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea3a127673bc26d5c58e2f6048d4ccac6a1b01b47193c99342ab1905ad2c4c72

Aliases

arxiv: 1009.3036 · arxiv_version: 1009.3036v6 · doi: 10.48550/arxiv.1009.3036 · pith_short_12: 5I5BE5TTXQTN · pith_short_16: 5I5BE5TTXQTNLRMO · pith_short_8: 5I5BE5TT

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/5I5BE5TTXQTNLRMOF5QERVGMVR \
  | 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: ea3a127673bc26d5c58e2f6048d4ccac6a1b01b47193c99342ab1905ad2c4c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d1d15c9a062909b89dd9614753a16db23b4450daaf7f525d1f227c331bbc26",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-15T20:31:15Z",
    "title_canon_sha256": "141c1530116734e53cc65a06f30588e4d393f5608efcb190f3e1bee1fe393f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3036",
    "kind": "arxiv",
    "version": 6
  }
}