Pith Number

pith:QL44D3AG

pith:2016:QL44D3AGVB5XSAT2CFZIXG6CU5

not attested not anchored not stored refs pending

Orthogonal trades in complete sets of MOLS

Diane M. Donovan, Fatih Demirkale, Nicholas J. Cavenagh

arxiv:1607.04429 v2 · 2016-07-15 · 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{QL44D3AGVB5XSAT2CFZIXG6CU5}

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	2026-05-18T01:10:57.068799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f9c1ec06a87b79027a11728b9bc2a763f8c2db5cb3743e400ea472ec49d9bd

Aliases

arxiv: 1607.04429 · arxiv_version: 1607.04429v2 · doi: 10.48550/arxiv.1607.04429 · pith_short_12: QL44D3AGVB5X · pith_short_16: QL44D3AGVB5XSAT2 · pith_short_8: QL44D3AG

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/QL44D3AGVB5XSAT2CFZIXG6CU5 \
  | 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: 82f9c1ec06a87b79027a11728b9bc2a763f8c2db5cb3743e400ea472ec49d9bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6167cef9ff7254811576f2e493178ef06587902087feb55e52dc3933afef10c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-15T09:29:18Z",
    "title_canon_sha256": "bdba20bf83c7cfab27b1e7bbb9bd17181694ff741ff50fb75326e5c225302579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04429",
    "kind": "arxiv",
    "version": 2
  }
}