Pith Number

pith:JCST764T

pith:2026:JCST764TVS4OVEZ4NNW33HPFAB

not attested not anchored not stored refs pending

A sharp product bound for non-trivial cross-intersecting families

Yang Huang

arxiv:2606.23322 v1 · 2026-06-22 · 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{JCST764TVS4OVEZ4NNW33HPFAB}

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

On a conjecture regarding the product version of the Hilton-Milner theorem

Receipt and verification

First computed	2026-06-23T03:14:16.798286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a53ffb93acb8ea933c6b6dbd9de50071115f777761961f419ffcfccb1cbc03

Aliases

arxiv: 2606.23322 · arxiv_version: 2606.23322v1 · doi: 10.48550/arxiv.2606.23322 · pith_short_12: JCST764TVS4O · pith_short_16: JCST764TVS4OVEZ4 · pith_short_8: JCST764T

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/JCST764TVS4OVEZ4NNW33HPFAB \
  | 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: 48a53ffb93acb8ea933c6b6dbd9de50071115f777761961f419ffcfccb1cbc03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ed563af623d57948fd756451470da1c24b3c2a6c53ad66f876cf11f48900c5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-22T13:33:17Z",
    "title_canon_sha256": "213d48ca9e91466d8a64541c1eaf0947af845ff4fd80089e454562f34744145a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23322",
    "kind": "arxiv",
    "version": 1
  }
}