Pith Number

pith:XTDFH7CU

pith:2020:XTDFH7CUWR6YMZZIKOGICI4H4H

not attested not anchored not stored refs pending

Convex transform order of Beta distributions with some consequences

Idir Arab, Paulo Eduardo Oliveira, Tilo Wiklund

arxiv:2005.08204 v4 · 2020-05-17 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTDFH7CUWR6YMZZIKOGICI4H4H}

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	2026-07-05T02:03:15.171093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc653fc54b47d866728538c812387e1e0224cc8a7aca273a229a796f25c17ca

Aliases

arxiv: 2005.08204 · arxiv_version: 2005.08204v4 · doi: 10.48550/arxiv.2005.08204 · pith_short_12: XTDFH7CUWR6Y · pith_short_16: XTDFH7CUWR6YMZZI · pith_short_8: XTDFH7CU

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/XTDFH7CUWR6YMZZIKOGICI4H4H \
  | 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: bcc653fc54b47d866728538c812387e1e0224cc8a7aca273a229a796f25c17ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13a32bd2d824e722ea5eafc73d0614f6f60d869d084c1fd79b07aa446a11f1d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-05-17T09:44:03Z",
    "title_canon_sha256": "31482a00258a4ebffb990800e7098f8062dfb83c67798f0b0b950584a1415ca1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.08204",
    "kind": "arxiv",
    "version": 4
  }
}