pith. sign in
Pith Number

pith:MZYOPZAY

pith:2014:MZYOPZAYCQHGPGY5IFTRDA3GFP
not attested not anchored not stored refs pending

Simpson's Paradox and Collapsibility

P. Vellaisamy

arxiv:1403.6329 v1 · 2014-03-25 · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MZYOPZAYCQHGPGY5IFTRDA3GFP}

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 2026-05-18T02:45:04.259737Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6670e7e418140e679b1d41671183662bd8d568ec237cb9cbd1643639786af5c6

Aliases

arxiv: 1403.6329 · arxiv_version: 1403.6329v1 · doi: 10.48550/arxiv.1403.6329 · pith_short_12: MZYOPZAYCQHG · pith_short_16: MZYOPZAYCQHGPGY5 · pith_short_8: MZYOPZAY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MZYOPZAYCQHGPGY5IFTRDA3GFP \
  | 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: 6670e7e418140e679b1d41671183662bd8d568ec237cb9cbd1643639786af5c6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2652b5c1d7cae5a6dab7a7d566db7026509a50075f56bbf1a62b33ceff734ed0",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-03-25T12:59:06Z",
    "title_canon_sha256": "8d542908607ae4b041183fde5600d43254982fc31993bdb0f9efd0486e6e9c78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6329",
    "kind": "arxiv",
    "version": 1
  }
}