Pith Number

pith:TQZ77PBJ

pith:2010:TQZ77PBJ7CUIZ52CEHX2P3WN7U

not attested not anchored not stored refs pending

Mixture decompositions of exponential families using a decomposition of their sample spaces

Guido Montufar

arxiv:1008.0204 v4 · 2010-08-01 · math.ST · stat.ML · 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{TQZ77PBJ7CUIZ52CEHX2P3WN7U}

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	2026-05-18T03:32:32.076040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c33ffbc29f8a88cf74221efa7eecdfd078f85a043f50cd634584a7173235d74

Aliases

arxiv: 1008.0204 · arxiv_version: 1008.0204v4 · doi: 10.48550/arxiv.1008.0204 · pith_short_12: TQZ77PBJ7CUI · pith_short_16: TQZ77PBJ7CUIZ52C · pith_short_8: TQZ77PBJ

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/TQZ77PBJ7CUIZ52CEHX2P3WN7U \
  | 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: 9c33ffbc29f8a88cf74221efa7eecdfd078f85a043f50cd634584a7173235d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ce079256c8e44043b19f3390df6491a4b75239672b3f294c682c0490fbade27",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-08-01T20:24:02Z",
    "title_canon_sha256": "bb45d9f763c311064e931cfe69d5d11ffe8558c1f46d12055239bbd0017013b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0204",
    "kind": "arxiv",
    "version": 4
  }
}