Pith Number

pith:2NKPWPSS

pith:2017:2NKPWPSSMMCM2U56UECMZQQFJJ

not attested not anchored not stored refs pending

Finite $p$-groups with non-cyclic center have non-inner automorphism of order $p$

Deepak Gumber, Rohit Garg

arxiv:1702.02293 v2 · 2017-02-08 · 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{2NKPWPSSMMCM2U56UECMZQQFJJ}

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	2026-05-18T00:49:31.451450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d354fb3e526304cd53bea104ccc2054a60cfb5d162d22d8aed4d1aa088218146

Aliases

arxiv: 1702.02293 · arxiv_version: 1702.02293v2 · doi: 10.48550/arxiv.1702.02293 · pith_short_12: 2NKPWPSSMMCM · pith_short_16: 2NKPWPSSMMCM2U56 · pith_short_8: 2NKPWPSS

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/2NKPWPSSMMCM2U56UECMZQQFJJ \
  | 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: d354fb3e526304cd53bea104ccc2054a60cfb5d162d22d8aed4d1aa088218146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f4f4e7bb709e6c791506547bba881cc24985f027a5163688ef3fc00fba5b8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-08T05:34:09Z",
    "title_canon_sha256": "8fae8653b6193d9dd68d5797a0453005e83e014dde6dd4e4d7f4619dafcf541c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02293",
    "kind": "arxiv",
    "version": 2
  }
}