Pith Number

pith:K4RKMSY7

pith:2024:K4RKMSY7ZXQKE3YVYE3HDBDG3X

not attested not anchored not stored refs pending

Non-uniform Cross-intersecting Families

Huajun Zhang, Jimeng Xiao, Qing Xiang, Zhen Jia

arxiv:2411.18426 v1 · 2024-11-27 · 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{K4RKMSY7ZXQKE3YVYE3HDBDG3X}

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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

Non-uniform pairwise cross $t$-intersecting families

Receipt and verification

First computed	2026-07-05T09:41:16.449330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5722a64b1fcde0a26f15c136718466ddd49644f42142456f5339edbedc6204b7

Aliases

arxiv: 2411.18426 · arxiv_version: 2411.18426v1 · doi: 10.48550/arxiv.2411.18426 · pith_short_12: K4RKMSY7ZXQK · pith_short_16: K4RKMSY7ZXQKE3YV · pith_short_8: K4RKMSY7

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/K4RKMSY7ZXQKE3YVYE3HDBDG3X \
  | 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: 5722a64b1fcde0a26f15c136718466ddd49644f42142456f5339edbedc6204b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6edc2ed20cf14a020def26e9d6048f4f715864e8eafa509c8054996b05315bb7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-27T15:08:45Z",
    "title_canon_sha256": "fec663a6b5b828ce8ea7e326774e216f0d3ac0d88bd0cad4f0eef61cada02ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18426",
    "kind": "arxiv",
    "version": 1
  }
}