Pith Number

pith:BC7HM4OD

pith:2011:BC7HM4ODHYSJMT2WBG2C23HOAW

not attested not anchored not stored refs pending

Stochastic Belief Propagation: A Low-Complexity Alternative to the Sum-Product Algorithm

Martin J. Wainwright, Nima Noorshams

arxiv:1111.1020 v2 · 2011-11-04 · 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{BC7HM4ODHYSJMT2WBG2C23HOAW}

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	2026-05-18T03:55:00.322991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08be7671c33e24964f5609b42d6cee05b9d49ad7344bb4db3801833ef2ebd587

Aliases

arxiv: 1111.1020 · arxiv_version: 1111.1020v2 · doi: 10.48550/arxiv.1111.1020 · pith_short_12: BC7HM4ODHYSJ · pith_short_16: BC7HM4ODHYSJMT2W · pith_short_8: BC7HM4OD

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/BC7HM4ODHYSJMT2WBG2C23HOAW \
  | 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: 08be7671c33e24964f5609b42d6cee05b9d49ad7344bb4db3801833ef2ebd587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542eb2ca788e991c9b10161c2cbcc5c1e12506fa8a092950dfdbf569e8e99b26",
    "cross_cats_sorted": [
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-04T00:28:59Z",
    "title_canon_sha256": "841b331cb33da6aec4ad363cd2317208efcdcc708d6c762343674bf064f7039a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1020",
    "kind": "arxiv",
    "version": 2
  }
}