Pith Number

pith:KGK5FR5M

pith:2018:KGK5FR5MLJJ2OLSJYSAOXHVL64

not attested not anchored not stored refs pending

Isolation of $k$-cliques

Kurt Fenech, Pawaton Kaemawichanurat, Peter Borg

arxiv:1812.11098 v1 · 2018-12-28 · 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{KGK5FR5MLJJ2OLSJYSAOXHVL64}

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	2026-05-17T23:57:16.331981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5195d2c7ac5a53a72e49c480eb9eabf728cc910537c73b9184042827cd683ae3

Aliases

arxiv: 1812.11098 · arxiv_version: 1812.11098v1 · doi: 10.48550/arxiv.1812.11098 · pith_short_12: KGK5FR5MLJJ2 · pith_short_16: KGK5FR5MLJJ2OLSJ · pith_short_8: KGK5FR5M

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/KGK5FR5MLJJ2OLSJYSAOXHVL64 \
  | 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: 5195d2c7ac5a53a72e49c480eb9eabf728cc910537c73b9184042827cd683ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3012fa1c8f511b1dedd075a2554b0d37db6ef5ba0c564e8be63251944103c199",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-28T16:32:55Z",
    "title_canon_sha256": "0efab43b77b9ddd9d863fbb4dc73ba941840bd5e914f6bfeaf1e0b2e717ecedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11098",
    "kind": "arxiv",
    "version": 1
  }
}