Pith Number

pith:PQWCTZLC

pith:2016:PQWCTZLCL57YAMMNOZFL3KZR3P

not attested not anchored not stored refs pending

Gaussian approximation for the sup-norm of high-dimensional matrix-variate U-statistics and its applications

Xiaohui Chen

arxiv:1602.00199 v3 · 2016-01-31 · math.ST · stat.ME · 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{PQWCTZLCL57YAMMNOZFL3KZR3P}

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	2026-05-18T01:03:32.673035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c2c29e5625f7f80318d764abdab31dbc28559b9dbf697d3cd613e2aac5e8e78

Aliases

arxiv: 1602.00199 · arxiv_version: 1602.00199v3 · doi: 10.48550/arxiv.1602.00199 · pith_short_12: PQWCTZLCL57Y · pith_short_16: PQWCTZLCL57YAMMN · pith_short_8: PQWCTZLC

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/PQWCTZLCL57YAMMNOZFL3KZR3P \
  | 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: 7c2c29e5625f7f80318d764abdab31dbc28559b9dbf697d3cd613e2aac5e8e78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfec637f0ce5043fbfd72e939af4397c72e956a43919919a6a91e0cdd29e1ec2",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-01-31T04:29:54Z",
    "title_canon_sha256": "8fc5574abed315d298d7575ad7360659d42dce8c14466c6872fd8de91d3b970b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00199",
    "kind": "arxiv",
    "version": 3
  }
}