Pith Number

pith:NAF7MSBE

pith:2012:NAF7MSBEOBFMIXYCIQLVPX27KN

not attested not anchored not stored refs pending

Mixed orthogonal arrays, $k$-dimensional $M$-part Sperner multi-families, and full multi-transversals

\'Eva Czabarka, Harout Aydinian, L\'aszl\'o A. Sz\'ekely

arxiv:1207.2646 v1 · 2012-07-11 · 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{NAF7MSBEOBFMIXYCIQLVPX27KN}

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	2026-05-18T03:51:14.894191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680bf64824704ac45f02441757df5f53654a5bd7e415b99c6c6e217fa55ec1f1

Aliases

arxiv: 1207.2646 · arxiv_version: 1207.2646v1 · doi: 10.48550/arxiv.1207.2646 · pith_short_12: NAF7MSBEOBFM · pith_short_16: NAF7MSBEOBFMIXYC · pith_short_8: NAF7MSBE

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/NAF7MSBEOBFMIXYCIQLVPX27KN \
  | 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: 680bf64824704ac45f02441757df5f53654a5bd7e415b99c6c6e217fa55ec1f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7006dad9887bdf9071d2a095cc7c256a6a7d4929deeb8176fb00dfbe8553365f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-11T14:15:03Z",
    "title_canon_sha256": "c7adf8adbbac3d929161e1e8b318ae47a83001872fd93af91b8a2f96dfdb46dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2646",
    "kind": "arxiv",
    "version": 1
  }
}