Pith Number

pith:CRNM7P5P

pith:2016:CRNM7P5PH6NZ4EZCUSGTAPJUVQ

not attested not anchored not stored refs pending

Transversals in Latin arrays with many distinct symbols

Darcy Best, David R. Wood, Ian M. Wanless, Kevin Hendrey, Tim E. Wilson

arxiv:1612.09443 v1 · 2016-12-30 · 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{CRNM7P5PH6NZ4EZCUSGTAPJUVQ}

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	2026-05-18T00:26:30.570545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145acfbfaf3f9b9e1322a48d303d34ac27d7fada6eb92a63607608fc650d0da3

Aliases

arxiv: 1612.09443 · arxiv_version: 1612.09443v1 · doi: 10.48550/arxiv.1612.09443 · pith_short_12: CRNM7P5PH6NZ · pith_short_16: CRNM7P5PH6NZ4EZC · pith_short_8: CRNM7P5P

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/CRNM7P5PH6NZ4EZCUSGTAPJUVQ \
  | 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: 145acfbfaf3f9b9e1322a48d303d34ac27d7fada6eb92a63607608fc650d0da3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d867786ab1c97529e1fea6bac1ea057c0a6e9ae29cb9c7195aa564797775db81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-30T10:16:22Z",
    "title_canon_sha256": "d6c1e58587afffe24c53e759dc4ff15352b02c8a1267c71b5894e26f1b3ba5d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09443",
    "kind": "arxiv",
    "version": 1
  }
}