Pith Number

pith:MU7YOBP2

pith:2026:MU7YOBP2RXXTYIQHIE7BWPBYDV

not attested not anchored not stored refs pending

Universal probability bounds for partial Latin squares

Jack Allsop, Patrick Morris

arxiv:2606.18174 v1 · 2026-06-16 · 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{MU7YOBP2RXXTYIQHIE7BWPBYDV}

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	2026-06-19T16:10:50.264981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653f8705fa8def3c2207413e1b3c381d4b44da254b9725da498dc7404a8221ee

Aliases

arxiv: 2606.18174 · arxiv_version: 2606.18174v1 · doi: 10.48550/arxiv.2606.18174 · pith_short_12: MU7YOBP2RXXT · pith_short_16: MU7YOBP2RXXTYIQH · pith_short_8: MU7YOBP2

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/MU7YOBP2RXXTYIQHIE7BWPBYDV \
  | 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: 653f8705fa8def3c2207413e1b3c381d4b44da254b9725da498dc7404a8221ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b520af6b050af13ebda2f60c866da8522c42418cce66a8128192bf61242a6b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T17:08:58Z",
    "title_canon_sha256": "b68df9f4442605d67ee67b9dc40b5dee68299352e4a1ab65c1619dacaaaf839e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18174",
    "kind": "arxiv",
    "version": 1
  }
}