Pith Number

pith:FODVTVG6

pith:2018:FODVTVG66XBBQRWNDFEVL56NPU

not attested not anchored not stored refs pending

$p$-groups with $p^2$ as a codegree

Mark L. Lewis, Sarah Croome

arxiv:1811.03057 v1 · 2018-11-07 · 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{FODVTVG66XBBQRWNDFEVL56NPU}

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	2026-05-18T00:01:20.038794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8759d4def5c21846cd194955f7cd7d2d87c1135b4219af64e71cd05b293fc5

Aliases

arxiv: 1811.03057 · arxiv_version: 1811.03057v1 · doi: 10.48550/arxiv.1811.03057 · pith_short_12: FODVTVG66XBB · pith_short_16: FODVTVG66XBBQRWN · pith_short_8: FODVTVG6

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/FODVTVG66XBBQRWNDFEVL56NPU \
  | 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: 2b8759d4def5c21846cd194955f7cd7d2d87c1135b4219af64e71cd05b293fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35818305a1ebb60a1f88f39ea9b9d250d29538b4e23492f880ef88da5dc97e01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-07T18:18:30Z",
    "title_canon_sha256": "aed51c0959a3ef1cd80d1de86b5247027d0132f0642e96757cdaea3154c2892c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03057",
    "kind": "arxiv",
    "version": 1
  }
}