Pith Number

pith:ZIJ7QOUT

pith:2009:ZIJ7QOUT5OUZWLIY66DMIBXM7V

not attested not anchored not stored refs pending

Semisimple Group (and Loop) Algebras over Finite Fields

Cesar Polcino Milies, Edgar G. Goodaire, Raul A. Ferraz

arxiv:0907.1592 v2 · 2009-07-09 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIJ7QOUT5OUZWLIY66DMIBXM7V}

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	2026-05-18T04:41:25.562569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca13f83a93eba99b2d18f786c406ecfd6663d641e80905e45fc6edffbf107a58

Aliases

arxiv: 0907.1592 · arxiv_version: 0907.1592v2 · doi: 10.48550/arxiv.0907.1592 · pith_short_12: ZIJ7QOUT5OUZ · pith_short_16: ZIJ7QOUT5OUZWLIY · pith_short_8: ZIJ7QOUT

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/ZIJ7QOUT5OUZWLIY66DMIBXM7V \
  | 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: ca13f83a93eba99b2d18f786c406ecfd6663d641e80905e45fc6edffbf107a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b3f80cb9d53e873eee47c056ee4d3a27d3b19d8feb0c589a524a4023cefae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-07-09T15:48:16Z",
    "title_canon_sha256": "1e45ca5de65f7f7b711dcb5af5371ac9c50993494e50cd0a9fbbed3bb3f73263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1592",
    "kind": "arxiv",
    "version": 2
  }
}