Pith Number

pith:V7AQVED3

pith:2010:V7AQVED3GDQ75YDNW7VROXS7YN

not attested not anchored not stored refs pending

On the inclusion probabilities in some unequal probability sampling plans without replacement

Yaming Yu

arxiv:1005.4107 v2 · 2010-05-22 · math.ST · math.PR · 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{V7AQVED3GDQ75YDNW7VROXS7YN}

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	2026-05-18T04:01:02.234224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc10a907b30e1fee06db7eb175e5fc363ca5fe4a4625ecdefec7153efabc68d

Aliases

arxiv: 1005.4107 · arxiv_version: 1005.4107v2 · doi: 10.48550/arxiv.1005.4107 · pith_short_12: V7AQVED3GDQ7 · pith_short_16: V7AQVED3GDQ75YDN · pith_short_8: V7AQVED3

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/V7AQVED3GDQ75YDNW7VROXS7YN \
  | 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: afc10a907b30e1fee06db7eb175e5fc363ca5fe4a4625ecdefec7153efabc68d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2ced9ba96815c168fcf7d324bcef761097367528f6939077471fa8c1f892f0",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-05-22T06:25:11Z",
    "title_canon_sha256": "4be7be1b1ef0644d1147c99d96e5cc590cd7e1caa1b7f7996adcb462a28c89ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4107",
    "kind": "arxiv",
    "version": 2
  }
}