Pith Number

pith:3CMPTSPL

pith:2014:3CMPTSPLA2UV75C23RSWAA23Y2

not attested not anchored not stored refs pending

A formally verified proof of the Central Limit Theorem

Jeremy Avigad, Johannes H\"olzl, Luke Serafin

arxiv:1405.7012 v4 · 2014-05-27 · cs.MS · cs.LO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CMPTSPLA2UV75C23RSWAA23Y2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:51:37.689785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d898f9c9eb06a95ff45adc6560035bc69df7cfd38309a55a997687fe31b538ca

Aliases

arxiv: 1405.7012 · arxiv_version: 1405.7012v4 · doi: 10.48550/arxiv.1405.7012 · pith_short_12: 3CMPTSPLA2UV · pith_short_16: 3CMPTSPLA2UV75C2 · pith_short_8: 3CMPTSPL

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/3CMPTSPLA2UV75C23RSWAA23Y2 \
  | 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: d898f9c9eb06a95ff45adc6560035bc69df7cfd38309a55a997687fe31b538ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c125f4b247122a8f66efbf1ffa9e5b5ae815a07c3cfef3a6b4530bfe910653",
    "cross_cats_sorted": [
      "cs.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2014-05-27T19:01:57Z",
    "title_canon_sha256": "9d7c4383c4ef0b52f5f5582fb8cfac75266f9326facae3644b5831a2d77bb7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7012",
    "kind": "arxiv",
    "version": 4
  }
}