Pith Number

pith:KC45EM6U

pith:2015:KC45EM6URS2K7Z4U6AM7XUWKH4

not attested not anchored not stored refs pending

Cayley numbers with arbitrarily many distinct prime factors

Edward Dobson, Pablo Spiga

arxiv:1509.05221 v1 · 2015-09-17 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KC45EM6URS2K7Z4U6AM7XUWKH4}

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	2026-05-18T01:32:49.581659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b9d233d48cb4afe794f019fbd2ca3f3729886855a9292f3fbba659e1f76b46

Aliases

arxiv: 1509.05221 · arxiv_version: 1509.05221v1 · doi: 10.48550/arxiv.1509.05221 · pith_short_12: KC45EM6URS2K · pith_short_16: KC45EM6URS2K7Z4U · pith_short_8: KC45EM6U

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/KC45EM6URS2K7Z4U6AM7XUWKH4 \
  | 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: 50b9d233d48cb4afe794f019fbd2ca3f3729886855a9292f3fbba659e1f76b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293cbe92108eb87ac713ab563e79f668b781ede4fae657b87017c904e2e49831",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-17T12:01:44Z",
    "title_canon_sha256": "6201d37a9681e99f2d20527a9d5acb5a6ff70a0c8753c9fb5524ce8e1ecedb5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05221",
    "kind": "arxiv",
    "version": 1
  }
}