Pith Number

pith:WR5B44M3

pith:2018:WR5B44M3W7RUJAHVJZFCS6WLDK

not attested not anchored not stored refs pending

On the Number of Not Powers in a Finite Group

William Cocke

arxiv:1811.01898 v1 · 2018-11-05 · 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{WR5B44M3W7RUJAHVJZFCS6WLDK}

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	2026-05-18T00:01:32.982892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47a1e719bb7e34480f54e4a297acb1a85bf9c6551ef281bf4404b0e86e91377

Aliases

arxiv: 1811.01898 · arxiv_version: 1811.01898v1 · doi: 10.48550/arxiv.1811.01898 · pith_short_12: WR5B44M3W7RU · pith_short_16: WR5B44M3W7RUJAHV · pith_short_8: WR5B44M3

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/WR5B44M3W7RUJAHVJZFCS6WLDK \
  | 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: b47a1e719bb7e34480f54e4a297acb1a85bf9c6551ef281bf4404b0e86e91377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f19099d5dd2143b37020fd32d68b443901ee30fd7466324a5438278e4e4e33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-05T18:25:08Z",
    "title_canon_sha256": "683071a3baec53345cb58b05c33107549925dc0c759cf4ed2bd8ac7cdfec957f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01898",
    "kind": "arxiv",
    "version": 1
  }
}