Pith Number

pith:GKREH5OM

pith:2011:GKREH5OMEAUMR2RLFCTT37DW6S

not attested not anchored not stored refs pending

Optimum allocation in multivariate stratified random sampling: Stochastic matrix optimisation

Jose A. Diaz-Garcia, Rogelio Ramos-Quiroga

arxiv:1105.3224 v1 · 2011-05-16 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKREH5OMEAUMR2RLFCTT37DW6S}

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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	2026-05-18T04:22:00.366527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a243f5cc2028c8ea2b28a73dfc76f48024970d55e13e881b7e5d217664f3e0

Aliases

arxiv: 1105.3224 · arxiv_version: 1105.3224v1 · doi: 10.48550/arxiv.1105.3224 · pith_short_12: GKREH5OMEAUM · pith_short_16: GKREH5OMEAUMR2RL · pith_short_8: GKREH5OM

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/GKREH5OMEAUMR2RLFCTT37DW6S \
  | 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: 32a243f5cc2028c8ea2b28a73dfc76f48024970d55e13e881b7e5d217664f3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d8ee4bfbf27395ea2478e8e5f91655509ad3b0ab54e04342b34ee3416b638f3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-05-16T21:21:17Z",
    "title_canon_sha256": "58715d55c82b83a787ada1fef532841a6bdc65ebc543020be2bb4b5ee9cfec64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3224",
    "kind": "arxiv",
    "version": 1
  }
}