Pith Number

pith:45GUEMDM

pith:2026:45GUEMDMWNHMRMQN3BN3P4JA4U

not attested not anchored not stored refs pending

Class-uniformly resolvable designs with all but one block having size two

Alexander J. Diesl, Ann N. Trenk, Karen Cordova, Micaela Roth

arxiv:2606.27519 v1 · 2026-06-25 · 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{45GUEMDMWNHMRMQN3BN3P4JA4U}

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	2026-06-29T00:14:08.859701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74d42306cb34ec8b20dd85bb7f120e51c2a3fc4b01bdee053521bd324cebb5a

Aliases

arxiv: 2606.27519 · arxiv_version: 2606.27519v1 · doi: 10.48550/arxiv.2606.27519 · pith_short_12: 45GUEMDMWNHM · pith_short_16: 45GUEMDMWNHMRMQN · pith_short_8: 45GUEMDM

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/45GUEMDMWNHMRMQN3BN3P4JA4U \
  | 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: e74d42306cb34ec8b20dd85bb7f120e51c2a3fc4b01bdee053521bd324cebb5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "831a2a70beb8eaf4421f1a156ae70efbd67a80f5caaa5a0686e222e3be2789d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-25T20:05:44Z",
    "title_canon_sha256": "e567a6ee5d5f3b95ba434d3c84265e73203b9e5c772553bebf7c4da358a834c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27519",
    "kind": "arxiv",
    "version": 1
  }
}