Pith Number

pith:UZLG2DEE

pith:2013:UZLG2DEEIC6GE6GLQMI6KYBFSH

not attested not anchored not stored refs pending

Study of some improved ratio type estimators using information on auxiliary attributes under second order approximation

Jong-Min Kim, prayas sharma, Rajesh Singh

arxiv:1309.3032 v1 · 2013-09-12 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZLG2DEEIC6GE6GLQMI6KYBFSH}

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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	2026-05-18T03:13:33.047631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6566d0c8440bc6278cb8311e5602591dedbdfa6fd4646d03f104896f71261b1

Aliases

arxiv: 1309.3032 · arxiv_version: 1309.3032v1 · doi: 10.48550/arxiv.1309.3032 · pith_short_12: UZLG2DEEIC6G · pith_short_16: UZLG2DEEIC6GE6GL · pith_short_8: UZLG2DEE

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/UZLG2DEEIC6GE6GLQMI6KYBFSH \
  | 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: a6566d0c8440bc6278cb8311e5602591dedbdfa6fd4646d03f104896f71261b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d77b4396c76a0ee4692867bcfe877f0c416aef0fc64b16c3e0cefe7c2713af0",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-09-12T04:49:01Z",
    "title_canon_sha256": "2d457981dd9615e53bea254cf803cfa75bffeae235f9a018eef85a9a2b9f39b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3032",
    "kind": "arxiv",
    "version": 1
  }
}