Pith Number

pith:KDP5KB4W

pith:2015:KDP5KB4WB2CZLTVAJFVJNGCQV6

not attested not anchored not stored refs pending

On the safe set of Cartesian product of two complete graphs

Boram Park, Bumtle Kang, Suh-Ryung Kim

arxiv:1508.02594 v1 · 2015-08-11 · 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{KDP5KB4WB2CZLTVAJFVJNGCQV6}

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	2026-05-18T01:35:28.777379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50dfd507960e8595cea0496a969850af8acb580293e889c254d201f826d84cb8

Aliases

arxiv: 1508.02594 · arxiv_version: 1508.02594v1 · doi: 10.48550/arxiv.1508.02594 · pith_short_12: KDP5KB4WB2CZ · pith_short_16: KDP5KB4WB2CZLTVA · pith_short_8: KDP5KB4W

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/KDP5KB4WB2CZLTVAJFVJNGCQV6 \
  | 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: 50dfd507960e8595cea0496a969850af8acb580293e889c254d201f826d84cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e604685fc90bff3807ba17e154c763b5d648cd772fca055e11c2d9bec42aa048",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-11T13:50:58Z",
    "title_canon_sha256": "334eff7ed89af51d609059285a19adb7dda474ed9ea15983afc0596fbe80bfd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02594",
    "kind": "arxiv",
    "version": 1
  }
}