Pith Number

pith:U5THMIHM

pith:2014:U5THMIHMBOW3CUCBWKHDPP6BFS

not attested not anchored not stored refs pending

Multivariate dual to ratio type estimators using arithmetic, geometric and harmonic means in simple random sampling

prayas sharma, Rajesh Singh

arxiv:1410.3245 v1 · 2014-10-13 · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5THMIHMBOW3CUCBWKHDPP6BFS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-05-18T02:40:11.703927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7667620ec0badb15041b28e37bfc12ca0b6da0fe36e1a45fd9fa21a7fa25253

Aliases

arxiv: 1410.3245 · arxiv_version: 1410.3245v1 · doi: 10.48550/arxiv.1410.3245 · pith_short_12: U5THMIHMBOW3 · pith_short_16: U5THMIHMBOW3CUCB · pith_short_8: U5THMIHM

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/U5THMIHMBOW3CUCBWKHDPP6BFS \
  | 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: a7667620ec0badb15041b28e37bfc12ca0b6da0fe36e1a45fd9fa21a7fa25253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c576477c34dfc4eda7f90eac47860c47c1ffc3e28d11f116dec50b5ad5e1571",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2014-10-13T10:03:45Z",
    "title_canon_sha256": "5cd76e73a3ae863ceb1f97e76aa4af0e204ac9aa64f1a9f4a01cbbafc4d17fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3245",
    "kind": "arxiv",
    "version": 1
  }
}