Pith Number

pith:T3KXK6OY

pith:2024:T3KXK6OY7NTBIEWR5H7IUNAX42

not attested not anchored not stored refs pending

Exact extremal non-trivial cross-intersecting families

Biao Wu, Huajun Zhang

arxiv:2411.16091 v1 · 2024-11-25 · 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{T3KXK6OY7NTBIEWR5H7IUNAX42}

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	2026-07-05T09:40:03.850383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed57579d8fb661412d1e9fe8a3417e6a008d639ecb3bf3a4512d26cf3dec908

Aliases

arxiv: 2411.16091 · arxiv_version: 2411.16091v1 · doi: 10.48550/arxiv.2411.16091 · pith_short_12: T3KXK6OY7NTB · pith_short_16: T3KXK6OY7NTBIEWR · pith_short_8: T3KXK6OY

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/T3KXK6OY7NTBIEWR5H7IUNAX42 \
  | 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: 9ed57579d8fb661412d1e9fe8a3417e6a008d639ecb3bf3a4512d26cf3dec908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5fcc437ccbf6c23ab49bb0cdab496b5c5e7273805d7bc348f186839bf2957a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-25T04:56:03Z",
    "title_canon_sha256": "c0cf56ad3c1690f5ebe1b0e77b0cd5c7b13b21275076db96456b3d15e72cce33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16091",
    "kind": "arxiv",
    "version": 1
  }
}