Pith Number

pith:RA2COCYK

pith:2009:RA2COCYKUY5IZYNVR7THR3NIJH

not attested not anchored not stored refs pending

Automorphisms of abelian group extensions

I. B. S. Passi, Mahender Singh, Manoj K. Yadav

arxiv:0911.4250 v2 · 2009-11-22 · 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{RA2COCYKUY5IZYNVR7THR3NIJH}

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	2026-05-18T04:31:21.450897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8834270b0aa63a8ce1b58fe678eda849ec27c7e15e36713380ab237769c01aca

Aliases

arxiv: 0911.4250 · arxiv_version: 0911.4250v2 · doi: 10.48550/arxiv.0911.4250 · pith_short_12: RA2COCYKUY5I · pith_short_16: RA2COCYKUY5IZYNV · pith_short_8: RA2COCYK

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/RA2COCYKUY5IZYNVR7THR3NIJH \
  | 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: 8834270b0aa63a8ce1b58fe678eda849ec27c7e15e36713380ab237769c01aca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2adbad8bc3e567d5613894c9ff9591a8d08671822ddbde99c6ee443af85b7f96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-11-22T13:01:36Z",
    "title_canon_sha256": "00e5f3fcbb6aa4503a0d9b53ae739c4bc376b90bcdd18e52c64f54152360908f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4250",
    "kind": "arxiv",
    "version": 2
  }
}