Pith Number

pith:2UM6CLPN

pith:2022:2UM6CLPNL2A2LDFWDIXXY76426

not attested not anchored not stored refs pending

Solution to a problem of Katona on counting cliques of weighted graphs

Carl Feghali, Peter Borg, R\'emi Pellerin

arxiv:2211.04153 v2 · 2022-11-08 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UM6CLPNL2A2LDFWDIXXY76426}

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	2026-07-05T07:29:09.336008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d519e12ded5e81a58cb61a2f7c7fdcd78c81fd8054408ee363531e0037f1ac30

Aliases

arxiv: 2211.04153 · arxiv_version: 2211.04153v2 · doi: 10.48550/arxiv.2211.04153 · pith_short_12: 2UM6CLPNL2A2 · pith_short_16: 2UM6CLPNL2A2LDFW · pith_short_8: 2UM6CLPN

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/2UM6CLPNL2A2LDFWDIXXY76426 \
  | 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: d519e12ded5e81a58cb61a2f7c7fdcd78c81fd8054408ee363531e0037f1ac30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e5f1e7b5c37e8911f5e2cb667f3de9a228d230ded0ace0a7f04a76543c515c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-08T10:50:37Z",
    "title_canon_sha256": "254a0999baa328f4cd793316c969c3fe0fd8e62406267b708a97732686929851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.04153",
    "kind": "arxiv",
    "version": 2
  }
}