Pith Number

pith:OAQ56FAQ

pith:2013:OAQ56FAQ3YYA6VMZL5OFEAUWEG

not attested not anchored not stored refs pending

Every group is a maximal subgroup of the free idempotent generated semigroup over a band

Igor Dolinka, Nik Ru\v{s}kuc

arxiv:1301.1225 v2 · 2013-01-07 · 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{OAQ56FAQ3YYA6VMZL5OFEAUWEG}

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	2026-05-18T02:56:58.521573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7021df1410de300f55995f5c52029621aa57f44acbef45360bd85fb2a6fda24d

Aliases

arxiv: 1301.1225 · arxiv_version: 1301.1225v2 · doi: 10.48550/arxiv.1301.1225 · pith_short_12: OAQ56FAQ3YYA · pith_short_16: OAQ56FAQ3YYA6VMZ · pith_short_8: OAQ56FAQ

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/OAQ56FAQ3YYA6VMZL5OFEAUWEG \
  | 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: 7021df1410de300f55995f5c52029621aa57f44acbef45360bd85fb2a6fda24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2365b8f76866f8726fd7965085a8dc03898ff1978c01f0470ae680b49264d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-07T15:13:37Z",
    "title_canon_sha256": "a32e059cbd4f4ece1e0b196213b2d78891da59e2d2246bc0a3990e6dd7626e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1225",
    "kind": "arxiv",
    "version": 2
  }
}