Pith Number

pith:D3ENP3ZF

pith:2011:D3ENP3ZFHTFNQVDDV27UOTL5IO

not attested not anchored not stored refs pending

Klein Four subgroups of Lie Algebra Automorphisms

Jing-Song Huang, Jun Yu

arxiv:1108.2397 v1 · 2011-08-10 · 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{D3ENP3ZFHTFNQVDDV27UOTL5IO}

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	2026-05-18T04:15:37.803992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec8d7ef253ccad85463aebf474d7d43955b669bd89e3f1d07e156c75c6394de

Aliases

arxiv: 1108.2397 · arxiv_version: 1108.2397v1 · doi: 10.48550/arxiv.1108.2397 · pith_short_12: D3ENP3ZFHTFN · pith_short_16: D3ENP3ZFHTFNQVDD · pith_short_8: D3ENP3ZF

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/D3ENP3ZFHTFNQVDDV27UOTL5IO \
  | 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: 1ec8d7ef253ccad85463aebf474d7d43955b669bd89e3f1d07e156c75c6394de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39520e0b3196f484389c20825de6e756e140994d780fc4b41d0f54d29e511a52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-10T12:51:45Z",
    "title_canon_sha256": "039d438d690216743e273093e70f3810a07bcc1c6064fe9733d8698b27253f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2397",
    "kind": "arxiv",
    "version": 1
  }
}