Pith Number

pith:L6D4H6ID

pith:2013:L6D4H6ID2DTI3VCIZUBVU5CGTD

not attested not anchored not stored refs pending

A note on Nil and Jacobson radicals in graded rings

Agata Smoktunowicz

arxiv:1301.2835 v2 · 2013-01-14 · 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{L6D4H6ID2DTI3VCIZUBVU5CGTD}

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	2026-05-18T03:35:37.930101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f87c3f903d0e68dd448cd035a744698fe5d6237988831b74699cceacf45481c

Aliases

arxiv: 1301.2835 · arxiv_version: 1301.2835v2 · doi: 10.48550/arxiv.1301.2835 · pith_short_12: L6D4H6ID2DTI · pith_short_16: L6D4H6ID2DTI3VCI · pith_short_8: L6D4H6ID

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/L6D4H6ID2DTI3VCIZUBVU5CGTD \
  | 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: 5f87c3f903d0e68dd448cd035a744698fe5d6237988831b74699cceacf45481c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0fb437ade381de6bff70338c6b1135ebc6821e21953da6fe4f1af9bb39df259",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-01-14T00:03:29Z",
    "title_canon_sha256": "bb86019acf6cd2eccc0b1fe8e7a8281c587f4a45662967e704cd3f0db712ed7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2835",
    "kind": "arxiv",
    "version": 2
  }
}