Pith Number

pith:RM2BFV7N

pith:2026:RM2BFV7NH3M3QCW7WYWV7HRC62

not attested not anchored not stored refs pending

Fuzzy latin squares and balanced permutation pattern statistics

Joy Cooper, Peter J. Dukes

arxiv:2608.05335 v1 · 2026-08-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RM2BFV7NH3M3QCW7WYWV7HRC62}

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	2026-08-07T00:47:01.906152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b3412d7ed3ed9b80adfb62d5f9e22f6b6efd59e021af6ff795dbdc77a190dcd

Aliases

arxiv: 2608.05335 · arxiv_version: 2608.05335v1 · doi: 10.48550/arxiv.2608.05335 · pith_short_12: RM2BFV7NH3M3 · pith_short_16: RM2BFV7NH3M3QCW7 · pith_short_8: RM2BFV7N

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/RM2BFV7NH3M3QCW7WYWV7HRC62 \
  | 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: 8b3412d7ed3ed9b80adfb62d5f9e22f6b6efd59e021af6ff795dbdc77a190dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c6bbd6dd9a1e1410c14d067e9a08f5c489b01ee0cd04c7af5b2044a91a95a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-05T18:50:09Z",
    "title_canon_sha256": "2fecc866c934a828e3c669feba1e27cbba30cd1bec8df71a2647a31e1f105702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05335",
    "kind": "arxiv",
    "version": 1
  }
}