Pith Number

pith:PXTXW3L6

pith:2016:PXTXW3L6ESKXAAYVCQ7T6J5DYT

not attested not anchored not stored refs pending

A comparison of pivotal sampling and unequal probability sampling with replacement

Anne Ruiz-Gazen (TSE), Guillaume Chauvet (ENSAI, IRMAR)

arxiv:1609.02688 v2 · 2016-09-09 · math.ST · stat.AP · stat.ME · 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{PXTXW3L6ESKXAAYVCQ7T6J5DYT}

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	2026-05-18T01:04:42.860815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de77b6d7e2495700315143f3f27a3c4e0c1f18e45ea44aad158631eead0e5cb

Aliases

arxiv: 1609.02688 · arxiv_version: 1609.02688v2 · doi: 10.48550/arxiv.1609.02688 · pith_short_12: PXTXW3L6ESKX · pith_short_16: PXTXW3L6ESKXAAYV · pith_short_8: PXTXW3L6

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/PXTXW3L6ESKXAAYVCQ7T6J5DYT \
  | 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: 7de77b6d7e2495700315143f3f27a3c4e0c1f18e45ea44aad158631eead0e5cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8fa34675385f98abd20a5ddff905ae762330410fb98c4e4b5670fa04369270",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-09-09T08:23:26Z",
    "title_canon_sha256": "2b411e3d19dff1e691c2f1a62f2fa215d99950ff9be61fb3a516108a9b9cc08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02688",
    "kind": "arxiv",
    "version": 2
  }
}