Pith Number

pith:J5DDQUVV

pith:2013:J5DDQUVVFY4VEAT4LKVZ7EUC2W

not attested not anchored not stored refs pending

Nontrivial t-Designs over Finite Fields Exist for All t

Alexander Vardy, Arman Fazeli, Shachar Lovett

arxiv:1306.2088 v1 · 2013-06-10 · 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{J5DDQUVVFY4VEAT4LKVZ7EUC2W}

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	2026-05-18T03:21:22.444765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f463852b52e3952027c5aab9f9282d5881dbe19170569218e6b62bf7467dd16

Aliases

arxiv: 1306.2088 · arxiv_version: 1306.2088v1 · doi: 10.48550/arxiv.1306.2088 · pith_short_12: J5DDQUVVFY4V · pith_short_16: J5DDQUVVFY4VEAT4 · pith_short_8: J5DDQUVV

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/J5DDQUVVFY4VEAT4LKVZ7EUC2W \
  | 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: 4f463852b52e3952027c5aab9f9282d5881dbe19170569218e6b62bf7467dd16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e16f7979f368890efa50898c923842be832c2e24cfc3c09a136502e6a24b70ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-10T02:14:31Z",
    "title_canon_sha256": "d6ce40513677d659de6f8473c23977ff0264dd55571774818489fa9c20f65a11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2088",
    "kind": "arxiv",
    "version": 1
  }
}