Pith Number

pith:2HYX5LO3

pith:2022:2HYX5LO3RLFYSWCL2ZNB25NSIZ

not attested not anchored not stored refs pending

On the maximum of the sum of the sizes of non-trivial cross-intersecting families

Peter Frankl

arxiv:2209.01826 v1 · 2022-09-05 · 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{2HYX5LO3RLFYSWCL2ZNB25NSIZ}

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	2026-07-05T04:54:34.391425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1f17eaddb8acb89584bd65a1d75b24669e123400539befb5d84069bd5c33001

Aliases

arxiv: 2209.01826 · arxiv_version: 2209.01826v1 · doi: 10.48550/arxiv.2209.01826 · pith_short_12: 2HYX5LO3RLFY · pith_short_16: 2HYX5LO3RLFYSWCL · pith_short_8: 2HYX5LO3

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/2HYX5LO3RLFYSWCL2ZNB25NSIZ \
  | 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: d1f17eaddb8acb89584bd65a1d75b24669e123400539befb5d84069bd5c33001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be875192234ed24eb09c864f90d069b1db0196a9513e509cc9534c04c797011",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-05T08:20:26Z",
    "title_canon_sha256": "93dabf7729bd43a16b51936149ff22733ff0a5d49f33ecfec61944a1b5d1e49b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.01826",
    "kind": "arxiv",
    "version": 1
  }
}