Pith Number

pith:5J2HQOZE

pith:2015:5J2HQOZEVAADVY4XK7LYWPLVEU

not attested not anchored not stored refs pending

On large deviation rates for sums associated with Galton-Watson processes

Hui He

arxiv:1502.01433 v2 · 2015-02-05 · 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{5J2HQOZEVAADVY4XK7LYWPLVEU}

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	2026-05-18T01:34:37.901043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea74783b24a8003ae39757d78b3d75250df8e551b8eb47f2b31b36350ca844d1

Aliases

arxiv: 1502.01433 · arxiv_version: 1502.01433v2 · doi: 10.48550/arxiv.1502.01433 · pith_short_12: 5J2HQOZEVAAD · pith_short_16: 5J2HQOZEVAADVY4X · pith_short_8: 5J2HQOZE

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/5J2HQOZEVAADVY4XK7LYWPLVEU \
  | 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: ea74783b24a8003ae39757d78b3d75250df8e551b8eb47f2b31b36350ca844d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71adf8daa45f67679b204dfa29106fc0ade84677a32d940388b4b79dc440d098",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-05T04:50:50Z",
    "title_canon_sha256": "cb45b738d115092f9927decae7b11b26616478990f0d22f70ffbfc9909e536f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01433",
    "kind": "arxiv",
    "version": 2
  }
}