Pith Number

pith:B4CMVG75

pith:2011:B4CMVG75GOVZBZOADJC6M2HPJV

not attested not anchored not stored refs pending

From EM to Data Augmentation: The Emergence of MCMC Bayesian Computation in the 1980s

Martin A. Tanner, Wing H. Wong

arxiv:1104.2210 v1 · 2011-04-12 · 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{B4CMVG75GOVZBZOADJC6M2HPJV}

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	2026-05-18T04:24:35.749330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f04ca9bfd33ab90e5c01a45e668ef4d401aee6460540603fd6c40212b1e3507

Aliases

arxiv: 1104.2210 · arxiv_version: 1104.2210v1 · doi: 10.48550/arxiv.1104.2210 · pith_short_12: B4CMVG75GOVZ · pith_short_16: B4CMVG75GOVZBZOA · pith_short_8: B4CMVG75

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/B4CMVG75GOVZBZOADJC6M2HPJV \
  | 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: 0f04ca9bfd33ab90e5c01a45e668ef4d401aee6460540603fd6c40212b1e3507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea8c1e52a10c8000488c0c0160430157d1e32f3ee00a7ef8d5cc4658d0e5e41b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-04-12T13:45:16Z",
    "title_canon_sha256": "caed63fd109beac801f11d6f73bdbd243796165d1bc268777887f668ed12c540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2210",
    "kind": "arxiv",
    "version": 1
  }
}