Pith Number

pith:GIESKUKK

pith:2012:GIESKUKKROHTLSM4S22ZE6H2PH

not attested not anchored not stored refs pending

The Radio numbers of all graphs of order $n$ and diameter $n-2$

Katherine Benson, Maggy Tomova, Matthew Porter

arxiv:1206.6327 v1 · 2012-06-27 · 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{GIESKUKKROHTLSM4S22ZE6H2PH}

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	2026-05-18T03:52:26.952652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320925514a8b8f35c99c96b59278fa79df4c0d68b0825bd6725be908b3831865

Aliases

arxiv: 1206.6327 · arxiv_version: 1206.6327v1 · doi: 10.48550/arxiv.1206.6327 · pith_short_12: GIESKUKKROHT · pith_short_16: GIESKUKKROHTLSM4 · pith_short_8: GIESKUKK

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/GIESKUKKROHTLSM4S22ZE6H2PH \
  | 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: 320925514a8b8f35c99c96b59278fa79df4c0d68b0825bd6725be908b3831865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82245cc4fceb6070207ff3fad863733fa2f093a02d26c29bfee6a585a4bb10f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-27T16:23:43Z",
    "title_canon_sha256": "079bd3ec49fdb4ddd45f2645674b559fb2380d9eedc028d794ab759298713c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6327",
    "kind": "arxiv",
    "version": 1
  }
}