Pith Number

pith:ARDBSHRB

pith:2013:ARDBSHRBY5RFN7E5JRXQDQEEGW

not attested not anchored not stored refs pending

New Large-Rank Nichols Algebras Over Nonabelian Groups With Commutator Subgroup Z_2

Simon D. Lentner

arxiv:1306.5684 v3 · 2013-06-24 · math.QA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARDBSHRBY5RFN7E5JRXQDQEEGW}

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	2026-05-18T02:18:04.477912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0446191e21c76256fc9d4c6f01c08435b56c64f06ef33f0c50da54e4474ec070

Aliases

arxiv: 1306.5684 · arxiv_version: 1306.5684v3 · doi: 10.48550/arxiv.1306.5684 · pith_short_12: ARDBSHRBY5RF · pith_short_16: ARDBSHRBY5RFN7E5 · pith_short_8: ARDBSHRB

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/ARDBSHRBY5RFN7E5JRXQDQEEGW \
  | 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: 0446191e21c76256fc9d4c6f01c08435b56c64f06ef33f0c50da54e4474ec070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383102fb454f39ea6c6183d3b4acb87dd1e275f311c8dbab70f3bf6e5a8475e3",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-06-24T17:26:45Z",
    "title_canon_sha256": "9cde44d57e5846437b6a6f21ebc84ce158219c2f9a7cc3b1d2770cb5c286a1f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5684",
    "kind": "arxiv",
    "version": 3
  }
}