Pith Number

pith:7WBUQSHG

pith:2013:7WBUQSHGKIOFTHJTPGDPDNT7DQ

not attested not anchored not stored refs pending

An Explicit Cross Entropy Scheme for Mixtures

Hui Wang, Xiang Zhou

arxiv:1305.3226 v1 · 2013-05-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WBUQSHGKIOFTHJTPGDPDNT7DQ}

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	2026-05-18T03:25:44.442597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd834848e6521c599d337986f1b67f1c38173f0c26bc6e7d73876aeecd0f9e83

Aliases

arxiv: 1305.3226 · arxiv_version: 1305.3226v1 · doi: 10.48550/arxiv.1305.3226 · pith_short_12: 7WBUQSHGKIOF · pith_short_16: 7WBUQSHGKIOFTHJT · pith_short_8: 7WBUQSHG

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/7WBUQSHGKIOFTHJTPGDPDNT7DQ \
  | 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: fd834848e6521c599d337986f1b67f1c38173f0c26bc6e7d73876aeecd0f9e83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d7c59c3b59f1b671a5a863aca0e2a04b6ab95ea7063fc303765bfb19b977e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-14T18:00:57Z",
    "title_canon_sha256": "09eb9ecbece3a8f448e8e8d1fe2f1ec32fbfdfb3657a22cf8c73e13f6152ebc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3226",
    "kind": "arxiv",
    "version": 1
  }
}