Pith Number

pith:VRQQSXXF

pith:2023:VRQQSXXFKY33AI3SBDX5PCSNGN

not attested not anchored not stored refs pending

Maximum cliques in a graph without disjoint given subgraph

Ervin Gyori, Fangfang Zhang, Xiutao Zhu, Yaojun Chen

arxiv:2309.09603 v1 · 2023-09-18 · 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{VRQQSXXFKY33AI3SBDX5PCSNGN}

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	2026-07-05T06:51:41.757866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac61095ee55637b0237208efd78a4d33417d33229c7c646cb611992bac93db59

Aliases

arxiv: 2309.09603 · arxiv_version: 2309.09603v1 · doi: 10.48550/arxiv.2309.09603 · pith_short_12: VRQQSXXFKY33 · pith_short_16: VRQQSXXFKY33AI3S · pith_short_8: VRQQSXXF

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/VRQQSXXFKY33AI3SBDX5PCSNGN \
  | 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: ac61095ee55637b0237208efd78a4d33417d33229c7c646cb611992bac93db59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b879b2501111633ed5ae5736a96408848a1e77ce27ddfbf5508c5b3389fee336",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-18T09:18:49Z",
    "title_canon_sha256": "5f764bb7be343abe1b71b372ff4559c9080ab81fb0c20636e182738ea4a52d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09603",
    "kind": "arxiv",
    "version": 1
  }
}