Pith Number

pith:H5IQIULO

pith:2007:H5IQIULOKM7EYVVHRLWN2R6H7J

not attested not anchored not stored refs pending

Representation Theory of Finite Semigroups, Semigroup Radicals and Formal Language Theory

Benjamin Steinberg, Jorge Almeida, Mikhail Volkov, Stuart Margolis

arxiv:math/0702400 v1 · 2007-02-14 · math.GR · math.CO · 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{H5IQIULOKM7EYVVHRLWN2R6H7J}

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	2026-05-18T02:32:55.441003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5104516e533e4c56a78aecdd47c7fa4ab327dc2b32496f7ed9e3c8ba55f11d

Aliases

arxiv: math/0702400 · arxiv_version: math/0702400v1 · doi: 10.48550/arxiv.math/0702400 · pith_short_12: H5IQIULOKM7E · pith_short_16: H5IQIULOKM7EYVVH · pith_short_8: H5IQIULO

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/H5IQIULOKM7EYVVHRLWN2R6H7J \
  | 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: 3f5104516e533e4c56a78aecdd47c7fa4ab327dc2b32496f7ed9e3c8ba55f11d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bd603de75bbef821f55ba28f6b7c82c37c707e04a513d1d768f42061a86434b",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-02-14T06:37:47Z",
    "title_canon_sha256": "eda7d1166787312ebd1641854a3a1e782284699a11cc57746566cdbd62b64154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702400",
    "kind": "arxiv",
    "version": 1
  }
}