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Pith Number

pith:2JULEAFA

pith:2015:2JULEAFAYE7ZF2EEY2BFPTDPAD
not attested not anchored not stored refs pending

An eigenproblem approach to optimal equal-precision sample allocation in subpopulations

Jacek Wesolowski, Robert Wieczorkowski

arxiv:1503.08686 v1 · 2015-03-30 · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2JULEAFAYE7ZF2EEY2BFPTDPAD}

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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 2026-05-18T02:20:01.126445Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d268b200a0c13f92e884c68257cc6f00f0f4e47862ffe6c23a6ede0e122a1c24

Aliases

arxiv: 1503.08686 · arxiv_version: 1503.08686v1 · doi: 10.48550/arxiv.1503.08686 · pith_short_12: 2JULEAFAYE7Z · pith_short_16: 2JULEAFAYE7ZF2EE · pith_short_8: 2JULEAFA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2JULEAFAYE7ZF2EEY2BFPTDPAD \
  | 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: d268b200a0c13f92e884c68257cc6f00f0f4e47862ffe6c23a6ede0e122a1c24
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c34e25cb7874af578d744077b5b7e76617b1ae517c93235ba5729b4a5e669276",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-03-30T14:36:25Z",
    "title_canon_sha256": "7ca83ae4654a1727498d372665980ddd8bb3a843597f4e59641d1087521667f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08686",
    "kind": "arxiv",
    "version": 1
  }
}