Pith Number

pith:C4PGN2TB

pith:2011:C4PGN2TB4AXA3LYP6NTKFSIV5S

not attested not anchored not stored refs pending

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

Igor Dolinka, Robert Gray

arxiv:1112.0893 v2 · 2011-12-05 · 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{C4PGN2TB4AXA3LYP6NTKFSIV5S}

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	2026-05-18T02:56:58.620454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171e66ea61e02e0daf0ff366a2c915ec8a8baf3cacf72afbab23d6e744a54ab4

Aliases

arxiv: 1112.0893 · arxiv_version: 1112.0893v2 · doi: 10.48550/arxiv.1112.0893 · pith_short_12: C4PGN2TB4AXA · pith_short_16: C4PGN2TB4AXA3LYP · pith_short_8: C4PGN2TB

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/C4PGN2TB4AXA3LYP6NTKFSIV5S \
  | 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: 171e66ea61e02e0daf0ff366a2c915ec8a8baf3cacf72afbab23d6e744a54ab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884d34ddcb24c8c1f12eddb791257b218aa1f682ff5be879844b3b04ef5c3493",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-05T11:49:06Z",
    "title_canon_sha256": "f73cccb0c74bb4a614eead3fbb7cc125f16e7ce4c17bed3a915fd80adf115521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0893",
    "kind": "arxiv",
    "version": 2
  }
}