Pith Number

pith:TAAJFDHB

pith:2018:TAAJFDHB3W5TWMMXBWHHJOZBWW

not attested not anchored not stored refs pending

On Clique Coverings of Complete Multipartite Graphs

Abhishek Methuku, Akbar Davoodi, D\'aniel Gerbner, M\'at\'e Vizer

arxiv:1809.01443 v1 · 2018-09-05 · 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{TAAJFDHB3W5TWMMXBWHHJOZBWW}

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	2026-05-18T00:06:27.650179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9800928ce1ddbb3b31970d8e74bb21b58a0b7cff80817fe818216f07e9f0fb52

Aliases

arxiv: 1809.01443 · arxiv_version: 1809.01443v1 · doi: 10.48550/arxiv.1809.01443 · pith_short_12: TAAJFDHB3W5T · pith_short_16: TAAJFDHB3W5TWMMX · pith_short_8: TAAJFDHB

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/TAAJFDHB3W5TWMMXBWHHJOZBWW \
  | 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: 9800928ce1ddbb3b31970d8e74bb21b58a0b7cff80817fe818216f07e9f0fb52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6df5baab4260f9bd9e9ae14b0975f34867871f781a7c3914e939632eaa1f974b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-05T11:37:49Z",
    "title_canon_sha256": "02fb2d3d55c147b3755360e9b4cd6261c4d7811a0171ad74155f34329c09391e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01443",
    "kind": "arxiv",
    "version": 1
  }
}