Pith Number

pith:EWHXQW33

pith:2026:EWHXQW33YR5A64XUBVKWIBJC2P

not attested not anchored not stored refs pending

On the product of cross-intersecting families with maximal covering number

Hehui Wu, Long Lin, Peter Frankl

arxiv:2606.01817 v1 · 2026-06-01 · 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{EWHXQW33YR5A64XUBVKWIBJC2P}

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	2026-06-02T02:04:57.669956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258f785b7bc47a0f72f40d55640522d3e83989e79684383c401c43a38f222da8

Aliases

arxiv: 2606.01817 · arxiv_version: 2606.01817v1 · doi: 10.48550/arxiv.2606.01817 · pith_short_12: EWHXQW33YR5A · pith_short_16: EWHXQW33YR5A64XU · pith_short_8: EWHXQW33

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/EWHXQW33YR5A64XUBVKWIBJC2P \
  | 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: 258f785b7bc47a0f72f40d55640522d3e83989e79684383c401c43a38f222da8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd1946ae4925be908bc1d6319e1d5e95e49be5d5f78f38d9896bf3e5d6c9584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T07:32:10Z",
    "title_canon_sha256": "a3c732d1ae707b6be0f8a4d5e56104450e3ad790ff6fb8299ca65a804fc79c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01817",
    "kind": "arxiv",
    "version": 1
  }
}