Pith Number

pith:VHMD4L3M

pith:2022:VHMD4L3MTQWRJULOIMOH36BZIY

not attested not anchored not stored refs pending

The central limit theorem via doubling of variables

Erin Beckman, Gavin Barill, Jessica Lin, Louigi Addario-Berry

arxiv:2212.11884 v1 · 2022-12-22 · 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{VHMD4L3MTQWRJULOIMOH36BZIY}

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	2026-07-05T05:27:44.407338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d83e2f6c9c2d14d16e431c7df839461e61f93f5d081d4d181090edd76d3af3

Aliases

arxiv: 2212.11884 · arxiv_version: 2212.11884v1 · doi: 10.48550/arxiv.2212.11884 · pith_short_12: VHMD4L3MTQWR · pith_short_16: VHMD4L3MTQWRJULO · pith_short_8: VHMD4L3M

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/VHMD4L3MTQWRJULOIMOH36BZIY \
  | 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: a9d83e2f6c9c2d14d16e431c7df839461e61f93f5d081d4d181090edd76d3af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dc741098b15e5bbd51fca10038c1aec03d3d1f2361b054c1bcff0e5db02b08e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-12-22T17:19:48Z",
    "title_canon_sha256": "04e15a62812128fea4b689dbcacdcdcd691c909e2a12b0aca52c5b85d3213ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11884",
    "kind": "arxiv",
    "version": 1
  }
}