Pith Number

pith:5LRKUUHZ

pith:2013:5LRKUUHZ2IH6CFTHIOX4SJM5OK

not attested not anchored not stored refs pending

Multivariate ratio estimation with known population proportion of two auxiliary characters for finite population

A. A. Adewara, Florentin Smarandache, Rajesh Singh, Sachin Malik

arxiv:1309.4871 v1 · 2013-09-19 · 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{5LRKUUHZ2IH6CFTHIOX4SJM5OK}

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	2026-05-18T03:12:57.072325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae2aa50f9d20fe1166743afc9259d729202051108feb4124c1d8c6f1bc823d3

Aliases

arxiv: 1309.4871 · arxiv_version: 1309.4871v1 · doi: 10.48550/arxiv.1309.4871 · pith_short_12: 5LRKUUHZ2IH6 · pith_short_16: 5LRKUUHZ2IH6CFTH · pith_short_8: 5LRKUUHZ

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/5LRKUUHZ2IH6CFTHIOX4SJM5OK \
  | 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: eae2aa50f9d20fe1166743afc9259d729202051108feb4124c1d8c6f1bc823d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c115662d797f746f1f1fdc252de8bb0bf8af09a72a841ce251da5be36a5d821",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2013-09-19T06:28:30Z",
    "title_canon_sha256": "fd4c940154114ec1cb739c837e0d50c6959a3111925337085022fa99de9a0d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4871",
    "kind": "arxiv",
    "version": 1
  }
}