Pith Number

pith:ECNAUVDK

pith:2017:ECNAUVDKRHGL3VEU6TCLZG7S3A

not attested not anchored not stored refs pending

Lower bounds on the sizes of defining sets in full $n$-Latin squares and full designs

Nicholas Cavenagh

arxiv:1708.06058 v1 · 2017-08-21 · 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{ECNAUVDKRHGL3VEU6TCLZG7S3A}

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	2026-05-18T00:37:43.388882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

209a0a546a89ccbdd494f4c4bc9bf2d813e632a195a63eb1de6c1ecebe2dcbd2

Aliases

arxiv: 1708.06058 · arxiv_version: 1708.06058v1 · doi: 10.48550/arxiv.1708.06058 · pith_short_12: ECNAUVDKRHGL · pith_short_16: ECNAUVDKRHGL3VEU · pith_short_8: ECNAUVDK

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/ECNAUVDKRHGL3VEU6TCLZG7S3A \
  | 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: 209a0a546a89ccbdd494f4c4bc9bf2d813e632a195a63eb1de6c1ecebe2dcbd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dc0d88eec4ed78ebef343e0a27db78f8e9bc753aa11cee09b707faea7a541f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-21T02:10:07Z",
    "title_canon_sha256": "5d1fc08a259b3a58feda58f2a13012d8869b49965df495e65180b193f98165fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06058",
    "kind": "arxiv",
    "version": 1
  }
}