Pith Number

pith:BXHJGVXN

pith:2013:BXHJGVXNXJVEGOMPRQOPQFBITY

not attested not anchored not stored refs pending

Exact sampling and counting for fixed-margin matrices

Jeffrey W. Miller, Matthew T. Harrison

arxiv:1301.6635 v2 · 2013-01-28 · stat.CO · math.ST · stat.AP · 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{BXHJGVXNXJVEGOMPRQOPQFBITY}

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	2026-05-18T03:16:06.206284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dce9356edba6a43398f8c1cf814289e2522c9a1420978567111c85078f54147

Aliases

arxiv: 1301.6635 · arxiv_version: 1301.6635v2 · doi: 10.48550/arxiv.1301.6635 · pith_short_12: BXHJGVXNXJVE · pith_short_16: BXHJGVXNXJVEGOMP · pith_short_8: BXHJGVXN

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/BXHJGVXNXJVEGOMPRQOPQFBITY \
  | 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: 0dce9356edba6a43398f8c1cf814289e2522c9a1420978567111c85078f54147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d13119d75bb8edd578f9ca6e2b6cdd0a525d18352f4b144c82fdeb7e29e3048",
    "cross_cats_sorted": [
      "math.ST",
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2013-01-28T18:33:47Z",
    "title_canon_sha256": "0034a1b025caa9364b69474e8cc61b563244fe244fc1a7e366be21bc8712ed93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6635",
    "kind": "arxiv",
    "version": 2
  }
}