Pith Number

pith:76Z3P4FA

pith:2009:76Z3P4FA5I5GYT64L65CPNRQKO

not attested not anchored not stored refs pending

The normal distribution is $\boxplus$-infinitely divisible

Franz Lehner, Marek Bozejko, Roland Speicher, Serban T. Belinschi

arxiv:0910.4263 v2 · 2009-10-22 · math.OA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76Z3P4FA5I5GYT64L65CPNRQKO}

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	2026-05-18T03:39:14.875971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb3b7f0a0ea3a6c4fdc5fba27b6305398b2e15f0c738bed670d4094822d3b7c

Aliases

arxiv: 0910.4263 · arxiv_version: 0910.4263v2 · doi: 10.48550/arxiv.0910.4263 · pith_short_12: 76Z3P4FA5I5G · pith_short_16: 76Z3P4FA5I5GYT64 · pith_short_8: 76Z3P4FA

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/76Z3P4FA5I5GYT64L65CPNRQKO \
  | 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: ffb3b7f0a0ea3a6c4fdc5fba27b6305398b2e15f0c738bed670d4094822d3b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4db7c22d42bbde94d7884729918e97ca18006bfccb8ff1ac1b4a6062ef324a4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-10-22T09:32:41Z",
    "title_canon_sha256": "04a68be10487bbdbeecc7c6e573c92e79852382cd4f860504a2438d015546679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4263",
    "kind": "arxiv",
    "version": 2
  }
}