Pith Number

pith:5PRDOUES

pith:2018:5PRDOUESWEMN5RAYSPTPZ55UI6

not attested not anchored not stored refs pending

Optimal Grid Drawings of Complete Multipartite Graphs and an Integer Variant of the Algebraic Connectivity

Carlos Hidalgo-Toscano, Clemens Huemer, Dieter Mitsche, Dolores Lara, Ruy Fabila-Monroy

arxiv:1808.09024 v1 · 2018-08-27 · 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{5PRDOUESWEMN5RAYSPTPZ55UI6}

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	2026-05-18T00:07:04.835235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe2375092b118dec41893e6fcf7b447b12dc4aebe28c1f1f1ceda73e2dee5fe

Aliases

arxiv: 1808.09024 · arxiv_version: 1808.09024v1 · doi: 10.48550/arxiv.1808.09024 · pith_short_12: 5PRDOUESWEMN · pith_short_16: 5PRDOUESWEMN5RAY · pith_short_8: 5PRDOUES

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/5PRDOUESWEMN5RAYSPTPZ55UI6 \
  | 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: ebe2375092b118dec41893e6fcf7b447b12dc4aebe28c1f1f1ceda73e2dee5fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0bc587722d94fcd7d3a024b67da5b57920dafe2ce07f948c0c281e87cc8c8f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-08-27T20:15:23Z",
    "title_canon_sha256": "099124334cc5fa27de5ad6b5108fc9344cc1bc3730d3060446f2de83f96c43dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09024",
    "kind": "arxiv",
    "version": 1
  }
}