Pith Number

pith:FSGDMNVE

pith:2017:FSGDMNVEIPJWU6GR5JBCE2JZPO

not attested not anchored not stored refs pending

Merge decompositions, two-sided Krohn-Rhodes, and aperiodic pointlikes

Benjamin Steinberg, Samuel J. v. Gool

arxiv:1708.08118 v1 · 2017-08-27 · math.GR · cs.FL · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSGDMNVEIPJWU6GR5JBCE2JZPO}

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	2026-05-18T00:36:36.941144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c8c3636a443d36a78d1ea422269397b8f5d8e6be64d932bfdd51a808832c94d

Aliases

arxiv: 1708.08118 · arxiv_version: 1708.08118v1 · doi: 10.48550/arxiv.1708.08118 · pith_short_12: FSGDMNVEIPJW · pith_short_16: FSGDMNVEIPJWU6GR · pith_short_8: FSGDMNVE

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/FSGDMNVEIPJWU6GR5JBCE2JZPO \
  | 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: 2c8c3636a443d36a78d1ea422269397b8f5d8e6be64d932bfdd51a808832c94d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6d5a798488be7830ad34c086b3ee4a65b5801469f2d308014dd4e82f545924",
    "cross_cats_sorted": [
      "cs.FL",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-27T18:20:21Z",
    "title_canon_sha256": "7b23ecd35e2168c326ab61973852fadff51256590fa5d1d5e1a8f63b9bc442db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08118",
    "kind": "arxiv",
    "version": 1
  }
}