Pith Number

pith:DTDLDGVA

pith:2011:DTDLDGVAY4DY6ZXT6IDFFQREGS

not attested not anchored not stored refs pending

The Krohn-Rhodes Theorem and Local Divisors

Benjamin Steinberg, Manfred Kufleitner, Volker Diekert

arxiv:1111.1585 v1 · 2011-11-07 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTDLDGVAY4DY6ZXT6IDFFQREGS}

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	2026-05-18T04:09:25.766134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cc6b19aa0c7078f66f3f20652c22434957cf32db7759f9672ca72d1755abecc

Aliases

arxiv: 1111.1585 · arxiv_version: 1111.1585v1 · doi: 10.48550/arxiv.1111.1585 · pith_short_12: DTDLDGVAY4DY · pith_short_16: DTDLDGVAY4DY6ZXT · pith_short_8: DTDLDGVA

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/DTDLDGVAY4DY6ZXT6IDFFQREGS \
  | 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: 1cc6b19aa0c7078f66f3f20652c22434957cf32db7759f9672ca72d1755abecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e31b16e86094a0c2f72948eecc6cb4b1c4c9d422850878213d5bc2fe9f0fdd",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-07T14:12:06Z",
    "title_canon_sha256": "ab0c93765d6201339ac59eddc9416447c3e66da0e00f56345efb95152eb6ad98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1585",
    "kind": "arxiv",
    "version": 1
  }
}