Pith Number

pith:2CNWXIYO

pith:2011:2CNWXIYOBO2LJLKFRDDISK27VF

not attested not anchored not stored refs pending

Clubbed Binomial Approximation for the Lightbulb Process

Aihua Xia, Larry Goldstein

arxiv:1111.3984 v1 · 2011-11-16 · 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{2CNWXIYOBO2LJLKFRDDISK27VF}

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	2026-05-18T04:08:12.148856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09b6ba30e0bb4b4ad4588c6892b5fa972767ac589159de109062ecb0be1b7a6

Aliases

arxiv: 1111.3984 · arxiv_version: 1111.3984v1 · doi: 10.48550/arxiv.1111.3984 · pith_short_12: 2CNWXIYOBO2L · pith_short_16: 2CNWXIYOBO2LJLKF · pith_short_8: 2CNWXIYO

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/2CNWXIYOBO2LJLKFRDDISK27VF \
  | 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: d09b6ba30e0bb4b4ad4588c6892b5fa972767ac589159de109062ecb0be1b7a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ba4bdd55256bd34b5bde5dda7e5aaf6c8ab0de54e4e97e2b352df500738b07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-16T22:20:22Z",
    "title_canon_sha256": "9095095105f2c1e1bd7fe87ca3595628c84e9b9737f3a2b6dd950ea5457b4023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3984",
    "kind": "arxiv",
    "version": 1
  }
}