Pith Number

pith:LKPIP6XI

pith:2012:LKPIP6XITA4CG5RI3CLDP4U44C

not attested not anchored not stored refs pending

Continuous mapping approach to the asymptotics of $U$- and $V$-statistics

Eric Beutner, Henryk Z\"ahle

arxiv:1203.1112 v4 · 2012-03-06 · 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{LKPIP6XITA4CG5RI3CLDP4U44C}

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	2026-05-18T02:56:35.572641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a9e87fae89838237628d89637f29ce0b566b2539edcd7b5806dd1ad572eca22

Aliases

arxiv: 1203.1112 · arxiv_version: 1203.1112v4 · doi: 10.48550/arxiv.1203.1112 · pith_short_12: LKPIP6XITA4C · pith_short_16: LKPIP6XITA4CG5RI · pith_short_8: LKPIP6XI

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/LKPIP6XITA4CG5RI3CLDP4U44C \
  | 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: 5a9e87fae89838237628d89637f29ce0b566b2539edcd7b5806dd1ad572eca22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e8ea47c1e7c476edd7a0019821a788aa84fb5a4201cd84055171e836587f15",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-03-06T07:06:54Z",
    "title_canon_sha256": "265d5ebdbdcb97e8b6e84ac04ca3edaea89faf811b0d3ea896084d0a87c114bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1112",
    "kind": "arxiv",
    "version": 4
  }
}