Pith Number

pith:LN7HV6UM

pith:2019:LN7HV6UMYVMRQVFBMOHJTMZXHC

not attested not anchored not stored refs pending

$p$-groups with exactly four codegrees

Mark L. Lewis, Sarah Croome

arxiv:1901.07425 v1 · 2019-01-22 · 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{LN7HV6UMYVMRQVFBMOHJTMZXHC}

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	2026-05-17T23:55:44.789834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b7e7afa8cc5591854a1638e99b33738ae875805216881d2aeac4a1fe45f5b9a

Aliases

arxiv: 1901.07425 · arxiv_version: 1901.07425v1 · doi: 10.48550/arxiv.1901.07425 · pith_short_12: LN7HV6UMYVMR · pith_short_16: LN7HV6UMYVMRQVFB · pith_short_8: LN7HV6UM

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/LN7HV6UMYVMRQVFBMOHJTMZXHC \
  | 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: 5b7e7afa8cc5591854a1638e99b33738ae875805216881d2aeac4a1fe45f5b9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9595d9c0feb2ff8da80a25f221d12613b83c4cd4e7d150128afbb52a299ca398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-22T15:42:21Z",
    "title_canon_sha256": "5c474952cd133178fae7afbcd727d31507113299869d861f16ca5522371ccca1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07425",
    "kind": "arxiv",
    "version": 1
  }
}