Pith Number

pith:7RUR2S6K

pith:2013:7RUR2S6KX5I2QI7ZF27X45AIFH

not attested not anchored not stored refs pending

Exponential Ratio Type Estimators In Stratified Random Sampling

M. K. Chaudhry, Mukesh Kumar, Rajesh Singh, R. D. Singh

arxiv:1301.5086 v1 · 2013-01-22 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RUR2S6KX5I2QI7ZF27X45AIFH}

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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	2026-05-18T03:35:53.101148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc691d4bcabf51a823f92ebf7e740829ec76edb9d961e0ea61655ab1a8d5a244

Aliases

arxiv: 1301.5086 · arxiv_version: 1301.5086v1 · doi: 10.48550/arxiv.1301.5086 · pith_short_12: 7RUR2S6KX5I2 · pith_short_16: 7RUR2S6KX5I2QI7Z · pith_short_8: 7RUR2S6K

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/7RUR2S6KX5I2QI7ZF27X45AIFH \
  | 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: fc691d4bcabf51a823f92ebf7e740829ec76edb9d961e0ea61655ab1a8d5a244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3de7e600ae77f4877c314bc4dd9d47f25393d4f162865ea5af9cb013c4353c3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-01-22T06:52:39Z",
    "title_canon_sha256": "410768fdd61d65619a6caaebd6f4561c56a3d544f73803f4455a11f81bba8368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5086",
    "kind": "arxiv",
    "version": 1
  }
}