Pith Number

pith:BFJ7X2W3

pith:2026:BFJ7X2W3LEMDSRWX2HVXGNICJZ

not attested not anchored not stored refs pending

A Simple Counting Argument for Dense Linear Hypergraphs

J\'ozsef Solymosi, Lior Gishboliner

arxiv:2606.25931 v1 · 2026-06-24 · 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{BFJ7X2W3LEMDSRWX2HVXGNICJZ}

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	2026-06-25T01:18:43.490424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0953fbeadb59183946d7d1eb7335024e51d9225451157da36ea3b55a578b5e35

Aliases

arxiv: 2606.25931 · arxiv_version: 2606.25931v1 · doi: 10.48550/arxiv.2606.25931 · pith_short_12: BFJ7X2W3LEMD · pith_short_16: BFJ7X2W3LEMDSRWX · pith_short_8: BFJ7X2W3

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/BFJ7X2W3LEMDSRWX2HVXGNICJZ \
  | 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: 0953fbeadb59183946d7d1eb7335024e51d9225451157da36ea3b55a578b5e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad0b9ab69bf5b343714c4d8c31150b5f47269bf2c557bb2df4d63f96993e063",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-24T15:07:33Z",
    "title_canon_sha256": "17870507339494418c44af118781c163fa07c312589389c34e0d09b690666f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25931",
    "kind": "arxiv",
    "version": 1
  }
}