Pith Number

pith:FX4VCEMC

pith:2013:FX4VCEMC7UHQEKMVXBSMQ2IE4W

not attested not anchored not stored refs pending

A note on noninner automorphisms of order $p$ for finite $p$-groups of coclass 2

A. Abdollahi, B. Wilkens, S. M. Ghoraishi

arxiv:1306.2649 v1 · 2013-06-11 · 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{FX4VCEMC7UHQEKMVXBSMQ2IE4W}

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	2026-05-18T03:21:09.878879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df9511182fd0f022995b864c86904e588d74304d177b722aa229bd4d7d85a76

Aliases

arxiv: 1306.2649 · arxiv_version: 1306.2649v1 · doi: 10.48550/arxiv.1306.2649 · pith_short_12: FX4VCEMC7UHQ · pith_short_16: FX4VCEMC7UHQEKMV · pith_short_8: FX4VCEMC

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/FX4VCEMC7UHQEKMVXBSMQ2IE4W \
  | 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: 2df9511182fd0f022995b864c86904e588d74304d177b722aa229bd4d7d85a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6764c3d522ebbdea10e35264e890602ec8d1788234b6e78218973b42493086cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-11T20:18:51Z",
    "title_canon_sha256": "6ef8e16e9a9862ef17cd1b46f5bdea40ac06768a54e80c68ccc7f8adb9a9c712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2649",
    "kind": "arxiv",
    "version": 1
  }
}