Pith Number

pith:W3ZPELXK

pith:2013:W3ZPELXKNAGWSNCMO55QY4PDD4

not attested not anchored not stored refs pending

Testing for Homogeneity in Mixture Models

Jiaying Gu, Roger Koenker, Stanislav Volgushev

arxiv:1302.1805 v6 · 2013-02-07 · 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{W3ZPELXKNAGWSNCMO55QY4PDD4}

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	2026-05-18T01:18:49.678410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f2f22eea680d69344c777b0c71e31f28f055fc532222fc1ed2414a8836ce4c

Aliases

arxiv: 1302.1805 · arxiv_version: 1302.1805v6 · doi: 10.48550/arxiv.1302.1805 · pith_short_12: W3ZPELXKNAGW · pith_short_16: W3ZPELXKNAGWSNCM · pith_short_8: W3ZPELXK

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/W3ZPELXKNAGWSNCMO55QY4PDD4 \
  | 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: b6f2f22eea680d69344c777b0c71e31f28f055fc532222fc1ed2414a8836ce4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f9f0e4ad1130aed7ca193b2a6b1dc0075eda2d53390055b52ce8d4783b511f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-02-07T17:17:49Z",
    "title_canon_sha256": "8141b4f4eac47d760082f7e52f852b557ccd137a907606dd427410f422f04041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1805",
    "kind": "arxiv",
    "version": 6
  }
}