Pith Number

pith:5KV5PW7Y

pith:2016:5KV5PW7Y526XXN2WPDQCJ3WUT2

not attested not anchored not stored refs pending

Sharp exponential inequalities in survey sampling: conditional Poisson sampling schemes

Patrice Bertail, Stephan Cl\'emen\c{c}on

arxiv:1610.03776 v1 · 2016-10-12 · 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{5KV5PW7Y526XXN2WPDQCJ3WUT2}

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	2026-05-18T01:02:29.266053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaabd7dbf8eebd7bb75678e024eed49e885a71814083419601259ca8fce7483a

Aliases

arxiv: 1610.03776 · arxiv_version: 1610.03776v1 · doi: 10.48550/arxiv.1610.03776 · pith_short_12: 5KV5PW7Y526X · pith_short_16: 5KV5PW7Y526XXN2W · pith_short_8: 5KV5PW7Y

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/5KV5PW7Y526XXN2WPDQCJ3WUT2 \
  | 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: eaabd7dbf8eebd7bb75678e024eed49e885a71814083419601259ca8fce7483a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4b2aab2de82cdf0a6ec2f6d02c3baec36b400be21c14ea682677f8145837a3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-10-12T16:34:44Z",
    "title_canon_sha256": "78788f3535c33554c1a36f3626197cc058c75491ac2c5b6ca61014ce2a6b7e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03776",
    "kind": "arxiv",
    "version": 1
  }
}