Pith Number

pith:5LSGYVTW

pith:2022:5LSGYVTW5IXXQZHRXFOIZHPV63

not attested not anchored not stored refs pending

Best possible bounds on the double-diversity of intersecting hypergraphs

Jian Wang, Peter Frankl

arxiv:2212.11650 v1 · 2022-12-22 · 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{5LSGYVTW5IXXQZHRXFOIZHPV63}

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

Two results on set families: sturdiness and intersection

Receipt and verification

First computed	2026-07-05T10:19:19.005595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae46c5676ea2f7864f1b95c8c9df5f6d1ac3affc5f1e3e1eca1e6f394833ad7

Aliases

arxiv: 2212.11650 · arxiv_version: 2212.11650v1 · doi: 10.48550/arxiv.2212.11650 · pith_short_12: 5LSGYVTW5IXX · pith_short_16: 5LSGYVTW5IXXQZHR · pith_short_8: 5LSGYVTW

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/5LSGYVTW5IXXQZHRXFOIZHPV63 \
  | 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: eae46c5676ea2f7864f1b95c8c9df5f6d1ac3affc5f1e3e1eca1e6f394833ad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0930fcbe5e591aeab03ecf65924390c3f25eff035190230a36879812d8d0f19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-22T12:42:38Z",
    "title_canon_sha256": "b41f20ba4310d36cc637aa5ed27469ced9738ea388c35ab94a0711374b16f34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11650",
    "kind": "arxiv",
    "version": 1
  }
}