Pith Number

pith:7OOBFSBU

pith:2011:7OOBFSBUJHWVZUJKJVSM27YKQD

not attested not anchored not stored refs pending

Merging Belief Propagation and the Mean Field Approximation: A Free Energy Approach

Bernard Henry Fleury, Carles Navarro Manch\'on, Erwin Riegler, Gunvor Elisabeth Kirkelund, Mihai-Alin Badiu

arxiv:1112.0467 v3 · 2011-12-02 · cs.IT · math.IT · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OOBFSBUJHWVZUJKJVSM27YKQD}

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	2026-05-18T03:52:26.175826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb9c12c83449ed5cd12a4d64cd7f0a80e98218a75b618781337b06fcf794c511

Aliases

arxiv: 1112.0467 · arxiv_version: 1112.0467v3 · doi: 10.48550/arxiv.1112.0467 · pith_short_12: 7OOBFSBUJHWV · pith_short_16: 7OOBFSBUJHWVZUJK · pith_short_8: 7OOBFSBU

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/7OOBFSBUJHWVZUJKJVSM27YKQD \
  | 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: fb9c12c83449ed5cd12a4d64cd7f0a80e98218a75b618781337b06fcf794c511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "302227ef740882f483953d4d7381a85a48a345e80ecc50299ce9877712858bb7",
    "cross_cats_sorted": [
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-12-02T14:21:57Z",
    "title_canon_sha256": "bcdb6051a7fb04bfe9d704a1547b5ebb0e2030dedb2e386201a63569db3f8024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0467",
    "kind": "arxiv",
    "version": 3
  }
}