Pith Number

pith:74GVFZNK

pith:2016:74GVFZNKRQ5MGXRPOXZ2MWG4VE

not attested not anchored not stored refs pending

Improved multivariate portmanteau test

A. Ian McLeod, Esam Mahdi

arxiv:1611.00442 v1 · 2016-11-02 · 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{74GVFZNKRQ5MGXRPOXZ2MWG4VE}

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	2026-05-18T01:00:32.857917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff0d52e5aa8c3ac35e2f75f3a658dca93c1b05fb7a6147b224d22ed05f715434

Aliases

arxiv: 1611.00442 · arxiv_version: 1611.00442v1 · doi: 10.48550/arxiv.1611.00442 · pith_short_12: 74GVFZNKRQ5M · pith_short_16: 74GVFZNKRQ5MGXRP · pith_short_8: 74GVFZNK

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/74GVFZNKRQ5MGXRPOXZ2MWG4VE \
  | 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: ff0d52e5aa8c3ac35e2f75f3a658dca93c1b05fb7a6147b224d22ed05f715434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c1198d8fc3d7fdb929c0e9adabbf9616334b45c6a0c968aebf240c301a8e3db",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-02T01:53:20Z",
    "title_canon_sha256": "7e7a31cfa6c39532b83548ec8446bf2af306e6299ad8d2cc88d29ec9d331b9ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00442",
    "kind": "arxiv",
    "version": 1
  }
}