Pith Number

pith:3H7XT7MS

pith:2011:3H7XT7MSYSAPPZS2LYVRH4GF62

not attested not anchored not stored refs pending

Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian

Dave Witte Morris, Ebrahim Ghaderpour

arxiv:1111.6216 v1 · 2011-11-27 · 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{3H7XT7MSYSAPPZS2LYVRH4GF62}

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	2026-05-18T04:07:31.512269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9ff79fd92c480f7e65a5e2b13f0c5f6a0e163488d03c48f206b370d738fb76a

Aliases

arxiv: 1111.6216 · arxiv_version: 1111.6216v1 · doi: 10.48550/arxiv.1111.6216 · pith_short_12: 3H7XT7MSYSAP · pith_short_16: 3H7XT7MSYSAPPZS2 · pith_short_8: 3H7XT7MS

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/3H7XT7MSYSAPPZS2LYVRH4GF62 \
  | 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: d9ff79fd92c480f7e65a5e2b13f0c5f6a0e163488d03c48f206b370d738fb76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b31c01dc952a0d4ad6c2ed12f0b5f20cc94253cdc351c0f2d3e077e9d5bd876",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-27T02:13:20Z",
    "title_canon_sha256": "2d2d71c3dde971850ed015cce5d7231bb2ca21f1aea9ba4de33ae0ee4d20deb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6216",
    "kind": "arxiv",
    "version": 1
  }
}