Pith Number

pith:3XKYD2ML

pith:2013:3XKYD2MLSNTKPVB7M24AT4CKYT

not attested not anchored not stored refs pending

Some improved estimators for estimating population mean in stratified random sampling

A. A. Adewara, Rajesh Singh, Viplav K. Singh

arxiv:1309.3034 v1 · 2013-09-12 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XKYD2MLSNTKPVB7M24AT4CKYT}

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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	2026-05-18T03:13:33.029693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd581e98b9366a7d43f66b809f04ac4fb1eede4f58e0a405b9977157e0597b5

Aliases

arxiv: 1309.3034 · arxiv_version: 1309.3034v1 · doi: 10.48550/arxiv.1309.3034 · pith_short_12: 3XKYD2MLSNTK · pith_short_16: 3XKYD2MLSNTKPVB7 · pith_short_8: 3XKYD2ML

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/3XKYD2MLSNTKPVB7M24AT4CKYT \
  | 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: ddd581e98b9366a7d43f66b809f04ac4fb1eede4f58e0a405b9977157e0597b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db6ac8427a6ad79fafd7c69a795dd333f6c9cb52e08710cd5e5bf81872c03a4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-09-12T04:53:26Z",
    "title_canon_sha256": "89f63d6c6754e0cec28534365e3adf22b5f8bc01e51e0ae1ec4dcfe4fa95f165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3034",
    "kind": "arxiv",
    "version": 1
  }
}