Pith Number

pith:CKA2NS7W

pith:2011:CKA2NS7W7QX2KAL37LBSB3KRFP

not attested not anchored not stored refs pending

Cayley graphs of order 27p are hamiltonian

Dave Witte Morris, Ebrahim Ghaderpour

arxiv:1101.4322 v3 · 2011-01-22 · 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{CKA2NS7W7QX2KAL37LBSB3KRFP}

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	2026-05-18T04:23:45.434270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1281a6cbf6fc2fa5017bfac320ed512bc259dbf5bef28328dec9c2eefc68afe3

Aliases

arxiv: 1101.4322 · arxiv_version: 1101.4322v3 · doi: 10.48550/arxiv.1101.4322 · pith_short_12: CKA2NS7W7QX2 · pith_short_16: CKA2NS7W7QX2KAL3 · pith_short_8: CKA2NS7W

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/CKA2NS7W7QX2KAL37LBSB3KRFP \
  | 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: 1281a6cbf6fc2fa5017bfac320ed512bc259dbf5bef28328dec9c2eefc68afe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b47badd1f21ebb5a62aff87c02696b0f8c2acbef4ca819636fec231567c87bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-22T21:00:55Z",
    "title_canon_sha256": "a282d2de2f19c0768577e098e14c9094ddc5c74d3816926d9b24a52b19450602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4322",
    "kind": "arxiv",
    "version": 3
  }
}