Pith Number

pith:LZQQMYVV

pith:2025:LZQQMYVVWM7LHIZ4BE3KRGDT7V

not attested not anchored not stored refs pending

On cross-2-intersecting families

Anshui Li, Biao Wu, Huajun Zhang, Yanhong Chen

arxiv:2503.15971 v1 · 2025-03-20 · 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{LZQQMYVVWM7LHIZ4BE3KRGDT7V}

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	2026-07-05T10:36:03.260127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e610662b5b33eb3a33c0936a89873fd54b6509364d74b4733577fe460608870

Aliases

arxiv: 2503.15971 · arxiv_version: 2503.15971v1 · doi: 10.48550/arxiv.2503.15971 · pith_short_12: LZQQMYVVWM7L · pith_short_16: LZQQMYVVWM7LHIZ4 · pith_short_8: LZQQMYVV

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/LZQQMYVVWM7LHIZ4BE3KRGDT7V \
  | 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: 5e610662b5b33eb3a33c0936a89873fd54b6509364d74b4733577fe460608870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac8637aca7e95be407c0edf1ba5b11bab49dabfdd4e3b2546820bb945dce712f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-20T09:14:13Z",
    "title_canon_sha256": "a8edc0c77938e90d55a1f7937cddb5df10cde6ecd53412614c645f3895ff6cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.15971",
    "kind": "arxiv",
    "version": 1
  }
}