Pith Number

pith:WWEWGAQO

pith:2019:WWEWGAQOJTAVFNTOS4SW6NJKR5

not attested not anchored not stored refs pending

Sharp results concerning disjoint cross-intersecting families

Andrey Kupavskii, Peter Frankl

arxiv:1905.08123 v1 · 2019-05-20 · math.CO · cs.DM

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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

Receipt and verification

First computed	2026-05-17T23:45:47.529149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58963020e4cc152b66e97256f352a8f53f7cfeaa97c27a954fe58fe7c31beb6

Aliases

arxiv: 1905.08123 · arxiv_version: 1905.08123v1 · doi: 10.48550/arxiv.1905.08123

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/WWEWGAQOJTAVFNTOS4SW6NJKR5 \
  | 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: b58963020e4cc152b66e97256f352a8f53f7cfeaa97c27a954fe58fe7c31beb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d0ed6285a900f63cb506ac000287445afc89563f552a0e1b5f10f10198298d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-20T14:02:08Z",
    "title_canon_sha256": "e2b4f60499539c7003176a72b67f9f0dca6be882671693643c0e9ec20600ff82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08123",
    "kind": "arxiv",
    "version": 1
  }
}