Pith Number

pith:AX7BH5NX

pith:2011:AX7BH5NX3J52I2EN5RAFOB7DXJ

not attested not anchored not stored refs pending

On radical square zero rings

Bao-Lin Xiong, Claus Michael Ringel

arxiv:1112.1422 v1 · 2011-12-06 · math.RT · 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{AX7BH5NX3J52I2EN5RAFOB7DXJ}

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	2026-05-18T04:06:54.558987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05fe13f5b7da7ba4688dec405707e3ba7f108309363b85dbaf849614acb2dcfe

Aliases

arxiv: 1112.1422 · arxiv_version: 1112.1422v1 · doi: 10.48550/arxiv.1112.1422 · pith_short_12: AX7BH5NX3J52 · pith_short_16: AX7BH5NX3J52I2EN · pith_short_8: AX7BH5NX

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/AX7BH5NX3J52I2EN5RAFOB7DXJ \
  | 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: 05fe13f5b7da7ba4688dec405707e3ba7f108309363b85dbaf849614acb2dcfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f289f1a0fafaddae860b0814ff7522eb2544fec703fc2a7d4ba525c0150d13b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-06T21:16:18Z",
    "title_canon_sha256": "a972ed42db1e68ea60b84770471e234a01ab1337e1fc4260dad61fa4249e9a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1422",
    "kind": "arxiv",
    "version": 1
  }
}