Pith Number

pith:BM7YSYMZ

pith:2012:BM7YSYMZSKS6RSAJRNVGWCFIZV

not attested not anchored not stored refs pending

Asymptotics of Randomly Weighted u- and v-statistics: Application to Bootstrap

Masoud M. Nasari, Miklos Csorgo

arxiv:1210.2757 v2 · 2012-10-09 · 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{BM7YSYMZSKS6RSAJRNVGWCFIZV}

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	2026-05-18T03:42:43.853181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3f89619992a5e8c8098b6a6b08a8cd7cbe9c686c2b9bc0c4c91b0f8f16c236

Aliases

arxiv: 1210.2757 · arxiv_version: 1210.2757v2 · doi: 10.48550/arxiv.1210.2757 · pith_short_12: BM7YSYMZSKS6 · pith_short_16: BM7YSYMZSKS6RSAJ · pith_short_8: BM7YSYMZ

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/BM7YSYMZSKS6RSAJRNVGWCFIZV \
  | 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: 0b3f89619992a5e8c8098b6a6b08a8cd7cbe9c686c2b9bc0c4c91b0f8f16c236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d637879c76e0b9fba57a1402e7f573d8e2368bf93139daf7d5eafc4877dd63e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-10-09T21:00:59Z",
    "title_canon_sha256": "7418d076a0a1d51a173a3e31a0c3d36a84874c501a1768e0dea3a664c2f0d905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2757",
    "kind": "arxiv",
    "version": 2
  }
}