Pith Number

pith:ATAEM5TA

pith:2016:ATAEM5TAZY2C7L2H3IFM7KKHWR

not attested not anchored not stored refs pending

Gaussian and bootstrap approximations for high-dimensional U-statistics and their applications

Xiaohui Chen

arxiv:1610.00032 v3 · 2016-09-30 · 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{ATAEM5TAZY2C7L2H3IFM7KKHWR}

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	2026-05-18T00:40:41.085692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c0467660ce342faf47da0acfa947b4491b876f309c3027617a0b2be7e93c29

Aliases

arxiv: 1610.00032 · arxiv_version: 1610.00032v3 · doi: 10.48550/arxiv.1610.00032 · pith_short_12: ATAEM5TAZY2C · pith_short_16: ATAEM5TAZY2C7L2H · pith_short_8: ATAEM5TA

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/ATAEM5TAZY2C7L2H3IFM7KKHWR \
  | 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: 04c0467660ce342faf47da0acfa947b4491b876f309c3027617a0b2be7e93c29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a027c9ab901ef5cfbee32143b246c4bbe0a4b3267f15a774c69b99a4ff24ea1c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-09-30T20:59:06Z",
    "title_canon_sha256": "6ad2175a805d742e1b1a38f42acaaca3b897d487302d595bd789a905555d577b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00032",
    "kind": "arxiv",
    "version": 3
  }
}