Pith Number

pith:V4TJFLCH

pith:2012:V4TJFLCHIXFSXVVZCHR3FVYHUZ

not attested not anchored not stored refs pending

Sticky central limit theorems on open books

Ezra Miller, Huiling Le, James Nolen, Jonathan C. Mattingly, J. S. Marron, Megan Owen, Sean Skwerer, Stephan Huckemann, Thomas Hotz, Vic Patrangenaru

arxiv:1202.4267 v2 · 2012-02-20 · math.PR · math.MG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4TJFLCHIXFSXVVZCHR3FVYHUZ}

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	2026-05-18T03:05:44.853189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af2692ac4745cb2bd6b911e3b2d707a66328a7de73d3e0383a817c3408c11b71

Aliases

arxiv: 1202.4267 · arxiv_version: 1202.4267v2 · doi: 10.48550/arxiv.1202.4267 · pith_short_12: V4TJFLCHIXFS · pith_short_16: V4TJFLCHIXFSXVVZ · pith_short_8: V4TJFLCH

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/V4TJFLCHIXFSXVVZCHR3FVYHUZ \
  | 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: af2692ac4745cb2bd6b911e3b2d707a66328a7de73d3e0383a817c3408c11b71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c6f88a5a22570465f37c36d42833612a288e68d4c6ffc716eb0d94f71ceb73e",
    "cross_cats_sorted": [
      "math.MG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-20T09:37:54Z",
    "title_canon_sha256": "b0cb1e432a046185ed4fbf36cfb1d15380cd0cbd7c8df251520e02a772c949fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4267",
    "kind": "arxiv",
    "version": 2
  }
}