Pith Number

pith:MKJUTZWL

pith:2016:MKJUTZWLWOIRKZBQRROKPXAEYU

not attested not anchored not stored refs pending

Non-inner automorphisms of order p in finite p-groups of coclass 3

Leire Legarreta, Manoj K. Yadav, Marco Ruscitti

arxiv:1604.08034 v1 · 2016-04-27 · 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{MKJUTZWLWOIRKZBQRROKPXAEYU}

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	2026-05-18T01:16:08.339615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629349e6cbb3911564308c5ca7dc04c519da3850cda3ced63d71ff069548568d

Aliases

arxiv: 1604.08034 · arxiv_version: 1604.08034v1 · doi: 10.48550/arxiv.1604.08034 · pith_short_12: MKJUTZWLWOIR · pith_short_16: MKJUTZWLWOIRKZBQ · pith_short_8: MKJUTZWL

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/MKJUTZWLWOIRKZBQRROKPXAEYU \
  | 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: 629349e6cbb3911564308c5ca7dc04c519da3850cda3ced63d71ff069548568d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d446b82c80e88d5797593c1eab64a692d6e8b334ccf120353e5dc52e6c81118f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-04-27T12:20:12Z",
    "title_canon_sha256": "684161fbc2249413f5b24f7a7b98198b7e2c0464e8c28f8d8627e9deae5fec93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08034",
    "kind": "arxiv",
    "version": 1
  }
}