Pith Number

pith:CKY7YFZE

pith:2013:CKY7YFZEMMV7ONXR7HJYYVMN6Z

not attested not anchored not stored refs pending

Rational Subsets and Submonoids of Wreath Products

Benjamin Steinberg, Georg Zetzsche, Markus Lohrey

arxiv:1302.2455 v1 · 2013-02-11 · 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{CKY7YFZEMMV7ONXR7HJYYVMN6Z}

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	2026-05-18T03:34:01.062531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b1fc1724632bf736f1f9d38c558df6542c598dca6c708c12d9d84c36087096

Aliases

arxiv: 1302.2455 · arxiv_version: 1302.2455v1 · doi: 10.48550/arxiv.1302.2455 · pith_short_12: CKY7YFZEMMV7 · pith_short_16: CKY7YFZEMMV7ONXR · pith_short_8: CKY7YFZE

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/CKY7YFZEMMV7ONXR7HJYYVMN6Z \
  | 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: 12b1fc1724632bf736f1f9d38c558df6542c598dca6c708c12d9d84c36087096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5034558567c5b6c5986ec588b8addc6a6daf818ad9368dc4e5a9fe7b3b02659",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-11T11:33:10Z",
    "title_canon_sha256": "f2760576777290783e863400575bba3c2a51308ef89f81b3ab92a16e490ab871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2455",
    "kind": "arxiv",
    "version": 1
  }
}