Pith Number

pith:KYLJNUCD

pith:2014:KYLJNUCDAR5AO7I5PK5KK24FXJ

not attested not anchored not stored refs pending

NP-hardness results for partitioning graphs into disjoint cliques and a triangle-free subgraph

Carl Feghali, Faisal N. Abu-Khzam, Haiko M\"uller

arxiv:1403.5248 v3 · 2014-03-20 · cs.DM · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYLJNUCDAR5AO7I5PK5KK24FXJ}

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	2026-05-18T02:54:32.023059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561696d043047a077d1d7abaa56b85ba4aa59c7a5bf4f7a11121c501edddc98d

Aliases

arxiv: 1403.5248 · arxiv_version: 1403.5248v3 · doi: 10.48550/arxiv.1403.5248 · pith_short_12: KYLJNUCDAR5A · pith_short_16: KYLJNUCDAR5AO7I5 · pith_short_8: KYLJNUCD

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/KYLJNUCDAR5AO7I5PK5KK24FXJ \
  | 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: 561696d043047a077d1d7abaa56b85ba4aa59c7a5bf4f7a11121c501edddc98d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c798448f79fec5953e93a5e1bb9bbac805d7e832f45c64f3aa5080c1bc2a8a87",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-03-20T19:47:15Z",
    "title_canon_sha256": "1f8c67ac35419ffc88a347f1037cf36fd0e8fd7ff2df3d0a475706ce5d514f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5248",
    "kind": "arxiv",
    "version": 3
  }
}