Pith Number

pith:2KMMD6B4

pith:2025:2KMMD6B4W3QCWQ4PTBDT4L37K2

not attested not anchored not stored refs pending

The maximum number of cliques in disjoint copies of graphs

Changhong Lu, Long-tu Yuan, Ping Li, Rui Sun, Zhipeng Gao

arxiv:2503.07072 v1 · 2025-03-10 · 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{2KMMD6B4W3QCWQ4PTBDT4L37K2}

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.

Cited by

1 paper in Pith

Survey of generalized Tur\'an problems -- counting subgraphs

Receipt and verification

First computed	2026-07-05T10:27:49.127781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d298c1f83cb6e02b438f98473e2f7f5690a5bbfd1b7e9d023b80a7f3930207d7

Aliases

arxiv: 2503.07072 · arxiv_version: 2503.07072v1 · doi: 10.48550/arxiv.2503.07072 · pith_short_12: 2KMMD6B4W3QC · pith_short_16: 2KMMD6B4W3QCWQ4P · pith_short_8: 2KMMD6B4

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/2KMMD6B4W3QCWQ4PTBDT4L37K2 \
  | 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: d298c1f83cb6e02b438f98473e2f7f5690a5bbfd1b7e9d023b80a7f3930207d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41dfe79d3ef7d524de6d8f37bb49adc5b0ae6a35d0685a398bc486f211f9f22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-10T08:55:52Z",
    "title_canon_sha256": "881868cafbc291f5bc8dfdb579f0f2084a8ea12450eb9e8050ee3dad6fbc7f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07072",
    "kind": "arxiv",
    "version": 1
  }
}