Pith Number

pith:OGPRLCZK

pith:2011:OGPRLCZK5WTPWLWC3GO3L2VIYS

not attested not anchored not stored refs pending

On Bayes' theorem for improper mixtures

Han Han, Peter McCullagh

arxiv:1112.3228 v1 · 2011-12-14 · 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{OGPRLCZK5WTPWLWC3GO3L2VIYS}

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	2026-05-18T04:06:19.750963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719f158b2aeda6fb2ec2d99db5eaa8c4b52049ce4b7542c78018d43a9425262d

Aliases

arxiv: 1112.3228 · arxiv_version: 1112.3228v1 · doi: 10.48550/arxiv.1112.3228 · pith_short_12: OGPRLCZK5WTP · pith_short_16: OGPRLCZK5WTPWLWC · pith_short_8: OGPRLCZK

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/OGPRLCZK5WTPWLWC3GO3L2VIYS \
  | 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: 719f158b2aeda6fb2ec2d99db5eaa8c4b52049ce4b7542c78018d43a9425262d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d75b2032fb5c3f2bfc43a40a973a386c86323427136130e97bdec78bf56fd6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-12-14T14:17:23Z",
    "title_canon_sha256": "6c35f9afecc08c13b11a1ee0341d3de72c7870f8524c29ba1c877f69e0d6259c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3228",
    "kind": "arxiv",
    "version": 1
  }
}