Pith Number

pith:J6YJXSW4

pith:2014:J6YJXSW4MRTPOSNDT7DZB2X6L7

not attested not anchored not stored refs pending

Central Limit Theorems and Bootstrap in High Dimensions

Denis Chetverikov, Kengo Kato, Victor Chernozhukov

arxiv:1412.3661 v4 · 2014-12-11 · 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{J6YJXSW4MRTPOSNDT7DZB2X6L7}

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	2026-05-18T01:19:30.540519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb09bcadc6466f749a39fc790eafe5fe583fe337917e4e0732c8a934a5cd3f3

Aliases

arxiv: 1412.3661 · arxiv_version: 1412.3661v4 · doi: 10.48550/arxiv.1412.3661 · pith_short_12: J6YJXSW4MRTP · pith_short_16: J6YJXSW4MRTPOSND · pith_short_8: J6YJXSW4

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/J6YJXSW4MRTPOSNDT7DZB2X6L7 \
  | 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: 4fb09bcadc6466f749a39fc790eafe5fe583fe337917e4e0732c8a934a5cd3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e54d73cd7602d269781c328a64d37a78b1b0c4dacf94bcd8cd93ceb48ee20de",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-12-11T14:45:47Z",
    "title_canon_sha256": "b5de4ab1467fc206aad5ef9ff81ee015a06e70384e7f10035b1222afe15000c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3661",
    "kind": "arxiv",
    "version": 4
  }
}