Pith Number

pith:WWGGEHEI

pith:2011:WWGGEHEI7OVC4DVGIT63Y6ICCT

not attested not anchored not stored refs pending

Finite $p$-groups of class 3 with noninner automorphisms of order $p$

Alireza Abdollahi, Mohsen Ghoraishi

arxiv:1110.6888 v1 · 2011-10-31 · 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{WWGGEHEI7OVC4DVGIT63Y6ICCT}

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	2026-05-18T04:09:53.970051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58c621c88fbaa2e0ea644fdbc790214e1518bc9effc471ce9bb3d5bcc830ff9

Aliases

arxiv: 1110.6888 · arxiv_version: 1110.6888v1 · doi: 10.48550/arxiv.1110.6888 · pith_short_12: WWGGEHEI7OVC · pith_short_16: WWGGEHEI7OVC4DVG · pith_short_8: WWGGEHEI

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/WWGGEHEI7OVC4DVGIT63Y6ICCT \
  | 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: b58c621c88fbaa2e0ea644fdbc790214e1518bc9effc471ce9bb3d5bcc830ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d78f99a358518d2f6ca36cb7d424ae3f83ad7b69c0cbb42940a2ca8e85db9ac1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-31T18:31:15Z",
    "title_canon_sha256": "9d45508dc85bbd92e51994d419db6fb045bd50faf11e0179adbf274a704c91d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6888",
    "kind": "arxiv",
    "version": 1
  }
}