Pith Number

pith:RZTJ7V2I

pith:2009:RZTJ7V2IZGYLTWYCZYDDOALNUC

not attested not anchored not stored refs pending

On Maximal Subgroups of Free Idempotent Generated Semigroups

Nik Ruskuc, Robert Gray

arxiv:0909.5630 v2 · 2009-09-30 · 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{RZTJ7V2IZGYLTWYCZYDDOALNUC}

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	2026-05-18T04:16:32.336964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e669fd748c9b0b9db02ce0637016da0889ebd4eaa6f9c6c683c012cd45623e4

Aliases

arxiv: 0909.5630 · arxiv_version: 0909.5630v2 · doi: 10.48550/arxiv.0909.5630 · pith_short_12: RZTJ7V2IZGYL · pith_short_16: RZTJ7V2IZGYLTWYC · pith_short_8: RZTJ7V2I

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/RZTJ7V2IZGYLTWYCZYDDOALNUC \
  | 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: 8e669fd748c9b0b9db02ce0637016da0889ebd4eaa6f9c6c683c012cd45623e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f97527cd8a698992a4b7d1567b6ad93aabfd7e9c3436bc321c145c1e9160d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-09-30T15:17:49Z",
    "title_canon_sha256": "19003f40d7720e55dd032a99d4a000a4eabda40856c3c18b3d06f16f53cfc818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5630",
    "kind": "arxiv",
    "version": 2
  }
}