Pith Number

pith:CID62NIO

pith:2011:CID62NIOQACLX3JZD6QXEK7JP3

not attested not anchored not stored refs pending

Maximal subgroups of free idempotent generated semigroups over the full transformation monoid

Nik Ruskuc, Robert Gray

arxiv:1101.1833 v1 · 2011-01-10 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CID62NIOQACLX3JZD6QXEK7JP3}

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	2026-05-18T02:58:01.280862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1207ed350e8004bbed391fa1722be97edfec47766d19d670f002095c4798f407

Aliases

arxiv: 1101.1833 · arxiv_version: 1101.1833v1 · doi: 10.48550/arxiv.1101.1833 · pith_short_12: CID62NIOQACL · pith_short_16: CID62NIOQACLX3JZ · pith_short_8: CID62NIO

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/CID62NIOQACLX3JZD6QXEK7JP3 \
  | 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: 1207ed350e8004bbed391fa1722be97edfec47766d19d670f002095c4798f407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3c11ee7699a1ddb27cc4c86e0a32d074a13f5396d328ef70523074eb623ac5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-10T14:57:43Z",
    "title_canon_sha256": "b3bb88149d4f74ed60b2bc33709f7afa42717d4743add5c14c37a8057fa4c492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1833",
    "kind": "arxiv",
    "version": 1
  }
}