Pith Number

pith:5IOZXLY4

pith:2025:5IOZXLY4AEK7MYVVRVG35JOJXY

not attested not anchored not stored refs pending

Easily Computed Marginal Likelihoods for Multivariate Mixture Models Using the THAMES Estimator

Adrian E. Raftery, Marie Perrot-Dock\`es, Martin Metodiev, Nicholas J. Irons, Pierre Latouche

arxiv:2504.21812 v3 · 2025-04-30 · 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{5IOZXLY4AEK7MYVVRVG35JOJXY}

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	2026-07-05T11:31:45.062230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea1d9baf1c0115f662b58d4dbea5c9be245a1d8790b0adfc360200494e16bd44

Aliases

arxiv: 2504.21812 · arxiv_version: 2504.21812v3 · doi: 10.48550/arxiv.2504.21812 · pith_short_12: 5IOZXLY4AEK7 · pith_short_16: 5IOZXLY4AEK7MYVV · pith_short_8: 5IOZXLY4

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/5IOZXLY4AEK7MYVVRVG35JOJXY \
  | 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: ea1d9baf1c0115f662b58d4dbea5c9be245a1d8790b0adfc360200494e16bd44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "961b1983b82a6f83081d3ac15ccbf05a70c27509767865aefd86d6dd87cea363",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-04-30T17:15:55Z",
    "title_canon_sha256": "5af3956c8ebd6464802622d0e2cd3f8d28d1a6c82b530e3cac536cc32836751e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21812",
    "kind": "arxiv",
    "version": 3
  }
}