Pith Number

pith:RYN4KOQS

pith:2019:RYN4KOQSVOSWRIANL6UH5WBSGQ

not attested not anchored not stored refs pending

A note on sum and difference of correlated chi-squared variables

Alberto Ferrari

arxiv:1906.09982 v1 · 2019-06-24 · stat.ME · 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{RYN4KOQSVOSWRIANL6UH5WBSGQ}

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	2026-05-17T23:42:35.849969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e1bc53a12aba568a00d5fa87ed832343e5945880d46443a8bc7633a5b68e800

Aliases

arxiv: 1906.09982 · arxiv_version: 1906.09982v1 · doi: 10.48550/arxiv.1906.09982 · pith_short_12: RYN4KOQSVOSW · pith_short_16: RYN4KOQSVOSWRIAN · pith_short_8: RYN4KOQS

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/RYN4KOQSVOSWRIANL6UH5WBSGQ \
  | 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: 8e1bc53a12aba568a00d5fa87ed832343e5945880d46443a8bc7633a5b68e800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6518f864ddd24f2605bd004ba976054f8f25d8b809e5a82d6d20d88a8eec45ac",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2019-06-24T14:12:27Z",
    "title_canon_sha256": "b6d94fb7bcdbd4d5cc60656355a1e17de894738e65180eda750a7bd14c7086dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09982",
    "kind": "arxiv",
    "version": 1
  }
}