Pith Number

pith:QRXUTD3C

pith:2006:QRXUTD3CO73PRHYFFIF4THV7ID

not attested not anchored not stored refs pending

Ranking and empirical minimization of U-statistics

G\'abor Lugosi, Modal'x), Nicolas Vayatis (PMA), St\'ephan Cl\'emen\c{c}on (PMA

arxiv:math/0603123 v1 · 2006-03-05 · 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{QRXUTD3CO73PRHYFFIF4THV7ID}

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	2026-05-18T01:08:50.468124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

846f498f6277f6f89f052a0bc99ebf40c961b456080342ad46d8fe2d08ee8e12

Aliases

arxiv: math/0603123 · arxiv_version: math/0603123v1 · doi: 10.48550/arxiv.math/0603123 · pith_short_12: QRXUTD3CO73P · pith_short_16: QRXUTD3CO73PRHYF · pith_short_8: QRXUTD3C

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/QRXUTD3CO73PRHYFFIF4THV7ID \
  | 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: 846f498f6277f6f89f052a0bc99ebf40c961b456080342ad46d8fe2d08ee8e12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02648f4d9120c4896941dc3b43ee0a00791fd06c3ab1542b613e66569a8e85bc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-03-05T17:10:54Z",
    "title_canon_sha256": "c37f4da53789363be9ea215705b4de9e047547bd9019af9c0f8bc9a87c6a70b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603123",
    "kind": "arxiv",
    "version": 1
  }
}