Pith Number

pith:UB4RKJWS

pith:2021:UB4RKJWSGUBIHAVA7M3OYGWML3

not attested not anchored not stored refs pending

Exact PPS Sampling with Bounded Sample Size

Brian Hentschel, Peter J. Haas, Yuanyuan Tian

arxiv:2105.10809 v2 · 2021-05-22 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UB4RKJWSGUBIHAVA7M3OYGWML3}

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	2026-07-05T09:34:32.247568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0791526d235028382a0fb36ec1acc5ed61e0d60f124f60615664b9e2d3a7cfd

Aliases

arxiv: 2105.10809 · arxiv_version: 2105.10809v2 · doi: 10.48550/arxiv.2105.10809 · pith_short_12: UB4RKJWSGUBI · pith_short_16: UB4RKJWSGUBIHAVA · pith_short_8: UB4RKJWS

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/UB4RKJWSGUBIHAVA7M3OYGWML3 \
  | 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: a0791526d235028382a0fb36ec1acc5ed61e0d60f124f60615664b9e2d3a7cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea912f668d3c30c90df84b747785170f70a35e484a628883316cee176ca5b65a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-05-22T21:07:18Z",
    "title_canon_sha256": "91ca1e416037591cb41b38317f0cef32350f4c92913dc6f9cd0a4e4110cfa9cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.10809",
    "kind": "arxiv",
    "version": 2
  }
}