Pith Number

pith:CLYSMM4Z

pith:2011:CLYSMM4ZMUMUQM2XXOLB4XRJMG

not attested not anchored not stored refs pending

Random Latin square graphs

Demetres Christofides, Klas Markstr\"om

arxiv:1106.0282 v1 · 2011-06-01 · 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{CLYSMM4ZMUMUQM2XXOLB4XRJMG}

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	2026-05-18T04:20:51.603231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f12633996519483357bb961e5e2961a972f7a3caadd47e8fa2851584e861df

Aliases

arxiv: 1106.0282 · arxiv_version: 1106.0282v1 · doi: 10.48550/arxiv.1106.0282 · pith_short_12: CLYSMM4ZMUMU · pith_short_16: CLYSMM4ZMUMUQM2X · pith_short_8: CLYSMM4Z

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/CLYSMM4ZMUMUQM2XXOLB4XRJMG \
  | 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: 12f12633996519483357bb961e5e2961a972f7a3caadd47e8fa2851584e861df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a5e762310272fedad86ed02d701ff1c121db91a5182bff93654f0631e8abd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-01T19:03:10Z",
    "title_canon_sha256": "073e7688570841aaf42b5432d39b7d4da3719e9e6a5aece56f00bd98f2f33ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0282",
    "kind": "arxiv",
    "version": 1
  }
}