Pith Number

pith:ZJCQC6OQ

pith:2011:ZJCQC6OQTK355HNDWDPKGS2KH6

not attested not anchored not stored refs pending

Effective dimension of finite semigroups

Benjamin Steinberg, Volodymyr Mazorchuk

arxiv:1107.1413 v3 · 2011-07-07 · math.GR · 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{ZJCQC6OQTK355HNDWDPKGS2KH6}

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	2026-05-18T03:50:09.240444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca450179d09ab7de9da3b0dea34b4a3f83f74203de37aae48b27c47737da2576

Aliases

arxiv: 1107.1413 · arxiv_version: 1107.1413v3 · doi: 10.48550/arxiv.1107.1413 · pith_short_12: ZJCQC6OQTK35 · pith_short_16: ZJCQC6OQTK355HND · pith_short_8: ZJCQC6OQ

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/ZJCQC6OQTK355HNDWDPKGS2KH6 \
  | 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: ca450179d09ab7de9da3b0dea34b4a3f83f74203de37aae48b27c47737da2576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2523ffe01dbc4907bf99e27a44afbe7ff7131abd36ae0715a3c52a1768fc2b9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-07T14:53:06Z",
    "title_canon_sha256": "67455841e4405e37a323728f297aa1034f869ad3674e816d3d4b6e10388414cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1413",
    "kind": "arxiv",
    "version": 3
  }
}