Pith Number

pith:LBWBJ4DT

pith:2022:LBWBJ4DTLF3K3FSBL3XTAGD6R4

not attested not anchored not stored refs pending

Improved bounds concerning the maximum degree of intersecting hypergraphs

Jian Wang, Peter Frankl

arxiv:2210.11172 v1 · 2022-10-20 · 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{LBWBJ4DTLF3K3FSBL3XTAGD6R4}

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	2026-07-05T05:08:45.274991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

586c14f0735976ad96415eef30187e8f146ea57239b08429f7b981d0a92861e6

Aliases

arxiv: 2210.11172 · arxiv_version: 2210.11172v1 · doi: 10.48550/arxiv.2210.11172 · pith_short_12: LBWBJ4DTLF3K · pith_short_16: LBWBJ4DTLF3K3FSB · pith_short_8: LBWBJ4DT

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/LBWBJ4DTLF3K3FSBL3XTAGD6R4 \
  | 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: 586c14f0735976ad96415eef30187e8f146ea57239b08429f7b981d0a92861e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e58ee9652cc00f85d0aba5c110eba2843efb8c72f5c046b0d22215113e9579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-20T11:20:16Z",
    "title_canon_sha256": "52667feb2a8ec03e584449fb8be09096031a64860f521d957ea44081c2e45256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.11172",
    "kind": "arxiv",
    "version": 1
  }
}