Pith Number

pith:DMUORCTB

pith:2018:DMUORCTB3EE62NGKK3YEWGLZXJ

not attested not anchored not stored refs pending

Beyond the Central Limit Theorem: Universal and Non-universal Simulations of Random Variables by General Mappings

Lei Yu

arxiv:1808.01750 v2 · 2018-08-06 · math.PR · cs.IT · math.IT · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMUORCTB3EE62NGKK3YEWGLZXJ}

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	2026-05-17T23:59:14.757941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b28e88a61d909ed34ca56f04b1979ba52383fafd4d9f463b31719d37e67edce

Aliases

arxiv: 1808.01750 · arxiv_version: 1808.01750v2 · doi: 10.48550/arxiv.1808.01750 · pith_short_12: DMUORCTB3EE6 · pith_short_16: DMUORCTB3EE62NGK · pith_short_8: DMUORCTB

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/DMUORCTB3EE62NGKK3YEWGLZXJ \
  | 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: 1b28e88a61d909ed34ca56f04b1979ba52383fafd4d9f463b31719d37e67edce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8d2d8a2498d0d30e8b3ab870eef7a9ff7165db5f425be8056083e11d544c2c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-06T07:09:28Z",
    "title_canon_sha256": "715bd1911e7264b0b3368450f6755787cfa15c63edebd6635be4389384467f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01750",
    "kind": "arxiv",
    "version": 2
  }
}