Pith Number

pith:CN3HDJHP

pith:2024:CN3HDJHPC5ULOJSOKOZGTZAWEE

not attested not anchored not stored refs pending

Improvements for lower bounds of mutually orthogonal Latin squares of sizes $54$, $96$ and $108$

Ingo Janiszczak, Reiner Staszewski, R. Julian R. Abel

arxiv:2412.00480 v1 · 2024-11-30 · 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{CN3HDJHPC5ULOJSOKOZGTZAWEE}

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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.

Cited by

1 paper in Pith

An Improved Upper Bound on the Zarankiewicz Number z(43;2)

Receipt and verification

First computed	2026-07-05T09:42:42.146703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

137671a4ef1768b7264e53b269e416213a69967bf728f3e093de6c63958e9dbd

Aliases

arxiv: 2412.00480 · arxiv_version: 2412.00480v1 · doi: 10.48550/arxiv.2412.00480 · pith_short_12: CN3HDJHPC5UL · pith_short_16: CN3HDJHPC5ULOJSO · pith_short_8: CN3HDJHP

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/CN3HDJHPC5ULOJSOKOZGTZAWEE \
  | 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: 137671a4ef1768b7264e53b269e416213a69967bf728f3e093de6c63958e9dbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb56ab7e5964ba0af4febabe3842bb1e1d7b50c35c7ec482307fe8668d821694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-30T13:36:52Z",
    "title_canon_sha256": "83cb2bf8051b98ecb19a8af52bbc4b5ff6ab2a0a31b1f75e3474e601fa2b2fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00480",
    "kind": "arxiv",
    "version": 1
  }
}