Pith Number

pith:CZFYDMTV

pith:2013:CZFYDMTVWDKHLVMUCAZ2YLPEDQ

not attested not anchored not stored refs pending

Hierarchical complexity of 2-clique-colouring weakly chordal graphs and perfect graphs having cliques of size at least 3

Celina M. H. de Figueiredo, H\'elio B. Mac\^edo Filho, Raphael C. S. Machado

arxiv:1312.2086 v2 · 2013-12-07 · cs.CC · cs.DM · 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{CZFYDMTVWDKHLVMUCAZ2YLPEDQ}

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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	2026-05-18T03:05:00.944558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164b81b275b0d475d5941033ac2de41c0ab51032e8b388762c9a3438fb4ff5b4

Aliases

arxiv: 1312.2086 · arxiv_version: 1312.2086v2 · doi: 10.48550/arxiv.1312.2086 · pith_short_12: CZFYDMTVWDKH · pith_short_16: CZFYDMTVWDKHLVMU · pith_short_8: CZFYDMTV

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/CZFYDMTVWDKHLVMUCAZ2YLPEDQ \
  | 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: 164b81b275b0d475d5941033ac2de41c0ab51032e8b388762c9a3438fb4ff5b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "783e0815b746d58201c1f03547cdde7d76b58fca90679de91ff8ce1917b47bd2",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-12-07T11:11:34Z",
    "title_canon_sha256": "0e9b689d44e69c40d5e2e4012dc2181d1c260108831d8d8935c6f92f745d8d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2086",
    "kind": "arxiv",
    "version": 2
  }
}