Pith Number

pith:RM6TJRLH

pith:2011:RM6TJRLHYTAOILKJSJ7SRYU33U

not attested not anchored not stored refs pending

A modified Pr\'ekopa's approach in optimum allocation in multivariate stratified random sampling

Jose A. Diaz-Garcia, Rogelio Raos-Quiroga

arxiv:1108.6104 v1 · 2011-08-31 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RM6TJRLHYTAOILKJSJ7SRYU33U}

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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	2026-05-18T04:05:47.124032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b3d34c567c4c0e42d49927f28e29bdd3cf327877c72ee81f1ff2d6f0097b0a5

Aliases

arxiv: 1108.6104 · arxiv_version: 1108.6104v1 · doi: 10.48550/arxiv.1108.6104 · pith_short_12: RM6TJRLHYTAO · pith_short_16: RM6TJRLHYTAOILKJ · pith_short_8: RM6TJRLH

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/RM6TJRLHYTAOILKJSJ7SRYU33U \
  | 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: 8b3d34c567c4c0e42d49927f28e29bdd3cf327877c72ee81f1ff2d6f0097b0a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "837942419ec0a0ff982662ee8e81ffb1df144ecdf2c5dc43e95202079560dfc2",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-08-31T00:52:38Z",
    "title_canon_sha256": "ca0a5e2f6cce0f9f3a90342e1d6f7fe7393e85b7a99dbfce956352c432da4457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6104",
    "kind": "arxiv",
    "version": 1
  }
}