Pith Number

pith:6NPNDUOJ

pith:2010:6NPNDUOJNZCE7QEHBGI4L5ZNLA

not attested not anchored not stored refs pending

Free Energy Methods for Bayesian Inference: Efficient Exploration of Univariate Gaussian Mixture Posteriors

Gabriel Stoltz (CERMICS/Ecole des Ponts, INRIA), Micmac, Nicolas Chopin (CREST/Ensae), Tony Lelievre

arxiv:1003.0428 v4 · 2010-03-01 · stat.CO · 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{6NPNDUOJNZCE7QEHBGI4L5ZNLA}

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	2026-05-18T04:24:06.346537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f35ed1d1c96e444fc0870991c5f72d5809205591114a0878075b6cb97dc1147b

Aliases

arxiv: 1003.0428 · arxiv_version: 1003.0428v4 · doi: 10.48550/arxiv.1003.0428 · pith_short_12: 6NPNDUOJNZCE · pith_short_16: 6NPNDUOJNZCE7QEH · pith_short_8: 6NPNDUOJ

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/6NPNDUOJNZCE7QEHBGI4L5ZNLA \
  | 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: f35ed1d1c96e444fc0870991c5f72d5809205591114a0878075b6cb97dc1147b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff0b50e5167df393e51fc930300fac6ff425be8ac1a26dbe7a32b11acf37e20",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2010-03-01T19:24:16Z",
    "title_canon_sha256": "3efae283735dba283bf3d5ff7c80315f32fbf67a5a8972a822b5eb880e5cf300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0428",
    "kind": "arxiv",
    "version": 4
  }
}