Pith Number

pith:KLV7WS6V

pith:2026:KLV7WS6V5I6UJJHZ5ZEI4V6R5L

not attested not anchored not stored refs pending

On cliques in hypergraphs under bounded $(j,p)$-norm

Hongbin Zhao, Jianfeng Hou

arxiv:2606.02110 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{KLV7WS6V5I6UJJHZ5ZEI4V6R5L}

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	2026-06-02T02:05:06.726214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ebfb4bd5ea3d44a4f9ee488e57d1eacbfd56f79d2d05d7a51fe171bbdd2001

Aliases

arxiv: 2606.02110 · arxiv_version: 2606.02110v1 · doi: 10.48550/arxiv.2606.02110 · pith_short_12: KLV7WS6V5I6U · pith_short_16: KLV7WS6V5I6UJJHZ · pith_short_8: KLV7WS6V

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/KLV7WS6V5I6UJJHZ5ZEI4V6R5L \
  | 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: 52ebfb4bd5ea3d44a4f9ee488e57d1eacbfd56f79d2d05d7a51fe171bbdd2001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e8f5372f14fe2ad38d1a3da2d498c1ebded9b4c23da02ab7925c04511376ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T11:43:09Z",
    "title_canon_sha256": "80602812a4ec78677f9525756310fabcd7ece88ab40898aa23b857567723cde0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02110",
    "kind": "arxiv",
    "version": 1
  }
}