Pith Number

pith:P3P3UC6K

pith:2026:P3P3UC6KZUL6HE5VDIUAPDL75I

not attested not anchored not stored refs pending

Defining sets which intersect each Latin trade at least twice

Nicholas Cavenagh, Richard Bean

arxiv:2605.28027 v1 · 2026-05-27 · 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{P3P3UC6KZUL6HE5VDIUAPDL75I}

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	2026-05-28T01:04:56.398816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7edfba0bcacd17e393b51a28078d7fea3376986e9072fb5313970ea060338433

Aliases

arxiv: 2605.28027 · arxiv_version: 2605.28027v1 · doi: 10.48550/arxiv.2605.28027 · pith_short_12: P3P3UC6KZUL6 · pith_short_16: P3P3UC6KZUL6HE5V · pith_short_8: P3P3UC6K

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/P3P3UC6KZUL6HE5VDIUAPDL75I \
  | 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: 7edfba0bcacd17e393b51a28078d7fea3376986e9072fb5313970ea060338433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71cea2f04ae1ca35568a0072c965acc10d649cc7a88de05d417b3c97f352cb32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T06:33:06Z",
    "title_canon_sha256": "e569e4d2c8d2f1e3ae86a7d8dc7c786bd5433d87ce5a6cd4fe271e538410788e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28027",
    "kind": "arxiv",
    "version": 1
  }
}