Pith Number

pith:6HZ4HAPL

pith:2017:6HZ4HAPLRJG3RXODY3I7WUYNLB

not attested not anchored not stored refs pending

Large Cayley graphs of small diameter

Grahame Erskine, James Tuite

arxiv:1708.02425 v2 · 2017-08-08 · 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{6HZ4HAPLRJG3RXODY3I7WUYNLB}

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	2026-05-18T00:18:41.433620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f3c381eb8a4db8ddc3c6d1fb530d5859ff13518030732b553f153e5baf62ac

Aliases

arxiv: 1708.02425 · arxiv_version: 1708.02425v2 · doi: 10.48550/arxiv.1708.02425 · pith_short_12: 6HZ4HAPLRJG3 · pith_short_16: 6HZ4HAPLRJG3RXOD · pith_short_8: 6HZ4HAPL

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/6HZ4HAPLRJG3RXODY3I7WUYNLB \
  | 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: f1f3c381eb8a4db8ddc3c6d1fb530d5859ff13518030732b553f153e5baf62ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d83a846d5f24db92302e3ec420f0fa0328aa13af215a67afd5ceb489760271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-08T09:35:53Z",
    "title_canon_sha256": "0e77dda39b7f306b5d90b494a5a2c17767277773d92afe0e75473f4ac860116f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02425",
    "kind": "arxiv",
    "version": 2
  }
}