Pith Number

pith:6IQESJ6X

pith:2012:6IQESJ6XBOIYKX7TAWDMUI45QK

not attested not anchored not stored refs pending

Every group is the maximal subgroup of a naturally occurring free idempotent generated semigroup

Dandan Yang, Victoria Gould

arxiv:1209.1242 v1 · 2012-09-06 · 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{6IQESJ6XBOIYKX7TAWDMUI45QK}

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	2026-05-18T03:46:06.115989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2204927d70b91855ff30586ca239d8286b15fea8b60fbec4af7ea0501b2696c

Aliases

arxiv: 1209.1242 · arxiv_version: 1209.1242v1 · doi: 10.48550/arxiv.1209.1242 · pith_short_12: 6IQESJ6XBOIY · pith_short_16: 6IQESJ6XBOIYKX7T · pith_short_8: 6IQESJ6X

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/6IQESJ6XBOIYKX7TAWDMUI45QK \
  | 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: f2204927d70b91855ff30586ca239d8286b15fea8b60fbec4af7ea0501b2696c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb1d8af17113e44e801caa80d7ab8600f0f8f315a385909c18f97ff01330dce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-06T09:53:35Z",
    "title_canon_sha256": "a3c212fe33b54f9ffffd741e304fe46fd0d5a793b51e4f9c326fbd4f42ff75c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1242",
    "kind": "arxiv",
    "version": 1
  }
}