Pith Number

pith:Y673XZKJ

pith:2012:Y673XZKJJ23YCIGGGWGFWQJT7O

not attested not anchored not stored refs pending

Sierpi\'nski rank of the Symmetric inverse semigroup

James T. Hyde, Yann P\'eresse

arxiv:1211.6284 v1 · 2012-11-27 · math.GR · 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{Y673XZKJJ23YCIGGGWGFWQJT7O}

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	2026-05-18T03:39:52.040481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7bfbbe5494eb78120c6358c5b4133fba1b482f07e10176535e632a3c72fc786

Aliases

arxiv: 1211.6284 · arxiv_version: 1211.6284v1 · doi: 10.48550/arxiv.1211.6284 · pith_short_12: Y673XZKJJ23Y · pith_short_16: Y673XZKJJ23YCIGG · pith_short_8: Y673XZKJ

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/Y673XZKJJ23YCIGGGWGFWQJT7O \
  | 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: c7bfbbe5494eb78120c6358c5b4133fba1b482f07e10176535e632a3c72fc786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b51f3531c5efb548c6eb8da2d8f0cdf13e76a3ea7a90ebbf71ca4c404fe5c76",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-27T12:29:53Z",
    "title_canon_sha256": "93e79da972e06cbfbc90a8a05e1ebe7013950d8938c2604e63f1c6a3321dd833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6284",
    "kind": "arxiv",
    "version": 1
  }
}