Pith Number

pith:VEDBXQU6

pith:2016:VEDBXQU6OXHQNZHMQW6B2XKLQG

not attested not anchored not stored refs pending

To replace or not to replace in finite population sampling

Daniel Q. Naiman, Fred Torcaso

arxiv:1606.01782 v2 · 2016-06-06 · 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{VEDBXQU6OXHQNZHMQW6B2XKLQG}

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	2026-05-18T01:01:51.693282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9061bc29e75cf06e4ec85bc1d5d4b819fd1e2bed8d1d0aafe7b3d79976d4c98

Aliases

arxiv: 1606.01782 · arxiv_version: 1606.01782v2 · doi: 10.48550/arxiv.1606.01782 · pith_short_12: VEDBXQU6OXHQ · pith_short_16: VEDBXQU6OXHQNZHM · pith_short_8: VEDBXQU6

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/VEDBXQU6OXHQNZHMQW6B2XKLQG \
  | 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: a9061bc29e75cf06e4ec85bc1d5d4b819fd1e2bed8d1d0aafe7b3d79976d4c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a434266c77b5eb949d9fa6b0ea001102549904e15f76490a9a65b75c6f9c1b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-06-06T15:16:02Z",
    "title_canon_sha256": "b306a1bfde657445b138752bbc7e9c47cdd466d2d427ea23fa136a90ccaff410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01782",
    "kind": "arxiv",
    "version": 2
  }
}