Pith Number

pith:SWF6OXO3

pith:2013:SWF6OXO3KSUN4CEJXCEPN7XTEH

not attested not anchored not stored refs pending

Noninner automorphisms of order p in finite p-groups of coclass 2, when p > 2

R. Orfi, S. Fouladi

arxiv:1309.7854 v1 · 2013-09-30 · 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{SWF6OXO3KSUN4CEJXCEPN7XTEH}

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	2026-05-17T23:53:15.070614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

958be75ddb54a8de0889b888f6fef321f4b9edc97afbda9b1484642d758e3dcb

Aliases

arxiv: 1309.7854 · arxiv_version: 1309.7854v1 · doi: 10.48550/arxiv.1309.7854 · pith_short_12: SWF6OXO3KSUN · pith_short_16: SWF6OXO3KSUN4CEJ · pith_short_8: SWF6OXO3

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/SWF6OXO3KSUN4CEJXCEPN7XTEH \
  | 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: 958be75ddb54a8de0889b888f6fef321f4b9edc97afbda9b1484642d758e3dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d215e5a27e18cddad46b3c4955b85cc70e908baef381cad987a5a88cd548d3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-30T14:18:11Z",
    "title_canon_sha256": "7da28720616ca41da363e5d700b9191be807e86fabce850137b8df5abf3c52e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7854",
    "kind": "arxiv",
    "version": 1
  }
}