Pith Number

pith:D24I7WF7

pith:2015:D24I7WF7SM4U2XOJR6Z7ZKYMUS

not attested not anchored not stored refs pending

The maximum size of a non-trivial intersecting uniform family that is not a subfamily of the Hilton--Milner family

Jie Han, Yoshiharu Kohayakawa

arxiv:1509.05464 v4 · 2015-09-17 · 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{D24I7WF7SM4U2XOJR6Z7ZKYMUS}

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	2026-05-18T01:10:15.049762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb88fd8bf93394d5dc98fb3fcab0ca4a8e993efa0ed55ceaeae71f05e4f9dc2

Aliases

arxiv: 1509.05464 · arxiv_version: 1509.05464v4 · doi: 10.48550/arxiv.1509.05464 · pith_short_12: D24I7WF7SM4U · pith_short_16: D24I7WF7SM4U2XOJ · pith_short_8: D24I7WF7

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/D24I7WF7SM4U2XOJR6Z7ZKYMUS \
  | 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: 1eb88fd8bf93394d5dc98fb3fcab0ca4a8e993efa0ed55ceaeae71f05e4f9dc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8aaa055399f3d87a4c4ef2bba3107736562b4a156ad517c16eba1c7f68e31a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-17T22:35:02Z",
    "title_canon_sha256": "b4ed3e9487dbc7c2bdde87bf82df3fbecce04b68f629c414c0a2d9909ad04b2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05464",
    "kind": "arxiv",
    "version": 4
  }
}