Pith Number

pith:U4OUK7KQ

pith:2013:U4OUK7KQM2QMRWVINY35OPKE3X

not attested not anchored not stored refs pending

A generalised family of ratio product estimator using transformation equation

Rajesh Singh, Viplav K. Singh

arxiv:1309.3370 v1 · 2013-09-13 · 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{U4OUK7KQM2QMRWVINY35OPKE3X}

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	2026-05-18T03:13:22.785227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a71d457d5066a0c8daa86e37d73d44ddf983e449485465a101e19f580590e57f

Aliases

arxiv: 1309.3370 · arxiv_version: 1309.3370v1 · doi: 10.48550/arxiv.1309.3370 · pith_short_12: U4OUK7KQM2QM · pith_short_16: U4OUK7KQM2QMRWVI · pith_short_8: U4OUK7KQ

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/U4OUK7KQM2QMRWVINY35OPKE3X \
  | 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: a71d457d5066a0c8daa86e37d73d44ddf983e449485465a101e19f580590e57f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57a87bb1210e96c428f20f5d51526c2afa6a8daebdf30ced38385eabec5f7f4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-09-13T05:32:16Z",
    "title_canon_sha256": "51feb5d22b0e5c3eadd2e1e023a41e7bc38f61594c165ffe2b31dfb456ce4638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3370",
    "kind": "arxiv",
    "version": 1
  }
}