Pith Number

pith:YG2HNIW3

pith:2010:YG2HNIW3CECZUCZJBLLPOZCSLR

not attested not anchored not stored refs pending

Ratio Estimators in Simple Random Sampling when Study Variable is an Attribute

Florentin Smarandache, Mukesh Kumar, Rajesh Singh

arxiv:1011.0919 v1 · 2010-11-03 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YG2HNIW3CECZUCZJBLLPOZCSLR}

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	2026-05-18T04:25:37.705704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b476a2db11059a0b290ad6f764525c7cae8ad5c8013440b0ca5b6b4953d43c

Aliases

arxiv: 1011.0919 · arxiv_version: 1011.0919v1 · doi: 10.48550/arxiv.1011.0919 · pith_short_12: YG2HNIW3CECZ · pith_short_16: YG2HNIW3CECZUCZJ · pith_short_8: YG2HNIW3

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/YG2HNIW3CECZUCZJBLLPOZCSLR \
  | 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: c1b476a2db11059a0b290ad6f764525c7cae8ad5c8013440b0ca5b6b4953d43c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e912093169f1a5223d8f5ce26a1d1c2e7cce3d60e7c5a0329acd039301e24fbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2010-11-03T15:35:39Z",
    "title_canon_sha256": "43b7b94a4d4aa06713e1ba41ed11508074594206b16a4c1957ba3973e3ff6209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0919",
    "kind": "arxiv",
    "version": 1
  }
}