Pith Number

pith:5LH23HFK

pith:2013:5LH23HFKIVK3X33TD4L6OICNF3

not attested not anchored not stored refs pending

Noninner Automorphisms of Order p for Finite p-Groups of Coclass 2

A. Abdollahi, B. Wilkens, M. Reguiat, S. M. Ghoraishi, Y. Guerboussa

arxiv:1307.5416 v1 · 2013-07-20 · 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{5LH23HFKIVK3X33TD4L6OICNF3}

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	2026-05-18T03:17:55.850065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eacfad9caa4555bbef731f17e7204d2ed48cc34b4aecbcfc5abfb9aa124e846e

Aliases

arxiv: 1307.5416 · arxiv_version: 1307.5416v1 · doi: 10.48550/arxiv.1307.5416 · pith_short_12: 5LH23HFKIVK3 · pith_short_16: 5LH23HFKIVK3X33T · pith_short_8: 5LH23HFK

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/5LH23HFKIVK3X33TD4L6OICNF3 \
  | 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: eacfad9caa4555bbef731f17e7204d2ed48cc34b4aecbcfc5abfb9aa124e846e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1cdb21714ae52982b20b9fd5d18c18beb3ac6f866c79b642edbf96cb2795a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-20T12:29:10Z",
    "title_canon_sha256": "67b2c97bc6f6391d24e1f2a75d7b6d5efb90bb3976f3d90b5fac97b9849ebc42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5416",
    "kind": "arxiv",
    "version": 1
  }
}