Pith Number

pith:27ZU362P

pith:2012:27ZU362PL3B2MX3AW7UVSFNPJV

not attested not anchored not stored refs pending

On finite $p$-groups whose central automorphisms are all class preserving

Manoj K. Yadav

arxiv:1208.3046 v3 · 2012-08-15 · 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{27ZU362PL3B2MX3AW7UVSFNPJV}

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	2026-05-18T00:11:19.694224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f34dfb4f5ec3a65f60b7e95915af4d601c943131ff4c43d86dee99b4ce5dcf

Aliases

arxiv: 1208.3046 · arxiv_version: 1208.3046v3 · doi: 10.48550/arxiv.1208.3046 · pith_short_12: 27ZU362PL3B2 · pith_short_16: 27ZU362PL3B2MX3A · pith_short_8: 27ZU362P

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/27ZU362PL3B2MX3AW7UVSFNPJV \
  | 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: d7f34dfb4f5ec3a65f60b7e95915af4d601c943131ff4c43d86dee99b4ce5dcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc612345df926667c526b25fcfa9a928b66b01a7f66c463ad1ba30b7648ab93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-15T07:15:50Z",
    "title_canon_sha256": "4fff2dbd8995dcac54661f39c89266b18c499cdbe2026399b4c09dab0611f26b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3046",
    "kind": "arxiv",
    "version": 3
  }
}