Pith Number

pith:5EZHWNBJ

pith:2023:5EZHWNBJU3CK46NJJVI4N3LF35

not attested not anchored not stored refs pending

Improved bounds on the maximum diversity of intersecting families

Jian Wang, Peter Frankl

arxiv:2304.11089 v1 · 2023-04-20 · 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{5EZHWNBJU3CK46NJJVI4N3LF35}

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.

Cited by

1 paper in Pith

The overflow in the Katona Theorem

Receipt and verification

First computed	2026-07-05T06:03:18.982332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9327b3429a6c4ae79a94d51c6ed65df7adb2cf8d01d78ce85fa5432ba5d4514

Aliases

arxiv: 2304.11089 · arxiv_version: 2304.11089v1 · doi: 10.48550/arxiv.2304.11089 · pith_short_12: 5EZHWNBJU3CK · pith_short_16: 5EZHWNBJU3CK46NJ · pith_short_8: 5EZHWNBJ

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/5EZHWNBJU3CK46NJJVI4N3LF35 \
  | 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: e9327b3429a6c4ae79a94d51c6ed65df7adb2cf8d01d78ce85fa5432ba5d4514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c374b2470b676820da9afcc8cb64cd1e109299a7f2dd658d77648977611355eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-04-20T15:07:37Z",
    "title_canon_sha256": "b84adf6aa373bdb71936026768f63998802756a8ff8d65cf4510f0e23ee9c4fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.11089",
    "kind": "arxiv",
    "version": 1
  }
}