Pith Number

pith:PJNMX2I6

pith:2011:PJNMX2I6TMVWAHA7DVO7RB4PMQ

not attested not anchored not stored refs pending

Exact Enumeration and Sampling of Matrices with Specified Margins

Jeffrey W. Miller, Matthew T. Harrison

arxiv:1104.0323 v1 · 2011-04-02 · stat.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJNMX2I6TMVWAHA7DVO7RB4PMQ}

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	2026-05-18T04:25:04.223526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5acbe91e9b2b601c1f1d5df8878f64256ef02c21be6d0fd759b02a300151c1

Aliases

arxiv: 1104.0323 · arxiv_version: 1104.0323v1 · doi: 10.48550/arxiv.1104.0323 · pith_short_12: PJNMX2I6TMVW · pith_short_16: PJNMX2I6TMVWAHA7 · pith_short_8: PJNMX2I6

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/PJNMX2I6TMVWAHA7DVO7RB4PMQ \
  | 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: 7a5acbe91e9b2b601c1f1d5df8878f64256ef02c21be6d0fd759b02a300151c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20ffbb8dd790edfe66162c7046dccf095401808d3aba552109ef15dbb740850",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2011-04-02T17:11:16Z",
    "title_canon_sha256": "29b82fe8e12b85f650f5001bd86c877a3fe2c449422e8c02826e22ab07ab8e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0323",
    "kind": "arxiv",
    "version": 1
  }
}