Pith Number

pith:ZOFOS2XT

pith:2012:ZOFOS2XTHYLHW6EDPEEXBZOOHA

not attested not anchored not stored refs pending

Krohn--Rhodes complexity of Brauer type semigroups

Karl Auinger

arxiv:1202.4982 v5 · 2012-02-22 · 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{ZOFOS2XTHYLHW6EDPEEXBZOOHA}

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	2026-05-18T03:33:26.291427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb8ae96af33e167b7883790970e5ce380c95953496bf3b23a0ec0da3a7b84ca6

Aliases

arxiv: 1202.4982 · arxiv_version: 1202.4982v5 · doi: 10.48550/arxiv.1202.4982 · pith_short_12: ZOFOS2XTHYLH · pith_short_16: ZOFOS2XTHYLHW6ED · pith_short_8: ZOFOS2XT

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/ZOFOS2XTHYLHW6EDPEEXBZOOHA \
  | 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: cb8ae96af33e167b7883790970e5ce380c95953496bf3b23a0ec0da3a7b84ca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56728f2a9f5a30cec986c7727cf007d700d986e578a6e8270a325ebc00b96f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-22T17:31:02Z",
    "title_canon_sha256": "4c1678588de3549a61a6e33be4c5800b51bec202d8069a9f615366a565b1891a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4982",
    "kind": "arxiv",
    "version": 5
  }
}