Pith Number

pith:KK5WTGLT

pith:2018:KK5WTGLTKYT6RUVPKGDJUSQTR3

not attested not anchored not stored refs pending

Character codegrees of maximal class p-groups

Mark L. Lewis, Sarah Croome

arxiv:1809.07699 v1 · 2018-09-20 · 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{KK5WTGLTKYT6RUVPKGDJUSQTR3}

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	2026-05-18T00:05:15.415093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52bb6999735627e8d2af51869a4a138efd42d03175a490a9909205d69a81f03c

Aliases

arxiv: 1809.07699 · arxiv_version: 1809.07699v1 · doi: 10.48550/arxiv.1809.07699 · pith_short_12: KK5WTGLTKYT6 · pith_short_16: KK5WTGLTKYT6RUVP · pith_short_8: KK5WTGLT

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/KK5WTGLTKYT6RUVPKGDJUSQTR3 \
  | 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: 52bb6999735627e8d2af51869a4a138efd42d03175a490a9909205d69a81f03c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064e8ece5401af71e754a86c2c917b4d2e333a182a58ec4471cecebb4d036611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-09-20T15:54:46Z",
    "title_canon_sha256": "3abdb93d6272a03fed31752e5249af8c4b5a99c5fc1ac9ee287061535a967591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07699",
    "kind": "arxiv",
    "version": 1
  }
}