Pith Number

pith:KTAWBXOS

pith:2022:KTAWBXOSYULDIZZ3YA42CUQSSM

not attested not anchored not stored refs pending

Exponential finite sample bounds for incomplete U-statistics

Andreas Maurer

arxiv:2207.03136 v1 · 2022-07-07 · 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{KTAWBXOSYULDIZZ3YA42CUQSSM}

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	2026-07-05T04:38:19.307437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54c160ddd2c51634673bc039a15212932dc8bcdb36f87ba59569f9a3f93de84c

Aliases

arxiv: 2207.03136 · arxiv_version: 2207.03136v1 · doi: 10.48550/arxiv.2207.03136 · pith_short_12: KTAWBXOSYULD · pith_short_16: KTAWBXOSYULDIZZ3 · pith_short_8: KTAWBXOS

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/KTAWBXOSYULDIZZ3YA42CUQSSM \
  | 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: 54c160ddd2c51634673bc039a15212932dc8bcdb36f87ba59569f9a3f93de84c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994c55a5346d283df593158f31d760a575e608dff6758b60b8397335e32041e6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-07-07T07:50:39Z",
    "title_canon_sha256": "ac32dbd5ff5ab6d3ef0ba9fa723eaf941fd25db64df6c428595c38c324756154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.03136",
    "kind": "arxiv",
    "version": 1
  }
}