Pith Number

pith:JROGOWEX

pith:2015:JROGOWEXMOOOL74QGCBVBEKTFO

not attested not anchored not stored refs pending

The complexity of partitioning into disjoint cliques and a triangle-free graph

Marin Bougeret, Pascal Ochem

arxiv:1512.02207 v1 · 2015-12-07 · 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{JROGOWEXMOOOL74QGCBVBEKTFO}

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	2026-05-18T01:25:09.081450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5c675897639ce5ff9030835091532b8cd2260117e0947343cc47c2e7c0f747

Aliases

arxiv: 1512.02207 · arxiv_version: 1512.02207v1 · doi: 10.48550/arxiv.1512.02207 · pith_short_12: JROGOWEXMOOO · pith_short_16: JROGOWEXMOOOL74Q · pith_short_8: JROGOWEX

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/JROGOWEXMOOOL74QGCBVBEKTFO \
  | 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: 4c5c675897639ce5ff9030835091532b8cd2260117e0947343cc47c2e7c0f747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ae9c9d37dd3bed059429cf758e749382517d5bd223e61abeb59c448064daee",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-12-07T20:49:14Z",
    "title_canon_sha256": "f578b189006d9348f106565b977481d66e9565f51c85d1d32b824aa62bef2716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02207",
    "kind": "arxiv",
    "version": 1
  }
}