Pith Number

pith:MJVXKNXY

pith:2014:MJVXKNXYCBVPI54G2YZDTMSZ57

not attested not anchored not stored refs pending

Exponential ratio-product type estimators under second order approximation in stratified random sampling

Florentin Smarandache, prayas sharma, Rajesh Singh

arxiv:1404.2608 v1 · 2014-04-08 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJVXKNXYCBVPI54G2YZDTMSZ57}

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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	2026-05-18T02:54:30.022186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

626b7536f8106af47786d63239b259eff4ff74748b3cd818576dd98cd5de8574

Aliases

arxiv: 1404.2608 · arxiv_version: 1404.2608v1 · doi: 10.48550/arxiv.1404.2608 · pith_short_12: MJVXKNXYCBVP · pith_short_16: MJVXKNXYCBVPI54G · pith_short_8: MJVXKNXY

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/MJVXKNXYCBVPI54G2YZDTMSZ57 \
  | 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: 626b7536f8106af47786d63239b259eff4ff74748b3cd818576dd98cd5de8574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42dbe09e66387b3c85a58436c8241a6edc90f0cb4aaf362ac6e7c85d864c56ac",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-04-08T07:52:18Z",
    "title_canon_sha256": "6283d8a55c097921f9bfaa1a60361a12a1bdb8bb462b114aa88a49872ac33af6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2608",
    "kind": "arxiv",
    "version": 1
  }
}