Pith Number

pith:EFP4BTQD

pith:2012:EFP4BTQDUL57TINVZ6UZZLPXCT

not attested not anchored not stored refs pending

Finite 2-groups of Class 2 with Specific Automorphism Group

A. Abdollahi, M. Ahmadi, S. M. Ghoraishi

arxiv:1212.0799 v1 · 2012-12-04 · 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{EFP4BTQDUL57TINVZ6UZZLPXCT}

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	2026-05-18T03:39:15.207158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

215fc0ce03a2fbf9a1b5cfa99cadf714f8c3e12d91b9ba965b3a146581ee3b61

Aliases

arxiv: 1212.0799 · arxiv_version: 1212.0799v1 · doi: 10.48550/arxiv.1212.0799 · pith_short_12: EFP4BTQDUL57 · pith_short_16: EFP4BTQDUL57TINV · pith_short_8: EFP4BTQD

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/EFP4BTQDUL57TINVZ6UZZLPXCT \
  | 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: 215fc0ce03a2fbf9a1b5cfa99cadf714f8c3e12d91b9ba965b3a146581ee3b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d21c11a57d76116c431e4c1cdaee4c15a7014cfd3cdf4a51d31a86bdc302307b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-04T17:31:02Z",
    "title_canon_sha256": "4c93346c252cda283bfdcbe1fdfdea3129b98564f345652dc39c0571db1b3419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0799",
    "kind": "arxiv",
    "version": 1
  }
}