Pith Number

pith:OMPKNEKF

pith:2008:OMPKNEKFAYGIEV45XJSFQEDUHR

not attested not anchored not stored refs pending

The space of subgroups of an abelian group

Luc Guyot, Wolfgang Pitsch, Yves de Cornulier

arxiv:0811.1549 v2 · 2008-11-10 · 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{OMPKNEKFAYGIEV45XJSFQEDUHR}

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	2026-05-18T04:41:25.357900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

731ea69145060c82579dba645810743c774815a37b4614405b1b9deaf95e2849

Aliases

arxiv: 0811.1549 · arxiv_version: 0811.1549v2 · doi: 10.48550/arxiv.0811.1549 · pith_short_12: OMPKNEKFAYGI · pith_short_16: OMPKNEKFAYGIEV45 · pith_short_8: OMPKNEKF

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/OMPKNEKFAYGIEV45XJSFQEDUHR \
  | 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: 731ea69145060c82579dba645810743c774815a37b4614405b1b9deaf95e2849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9237c79a3f1e9f7fb8ec75bb6dcd455f8887dec67904363745b044ef5b82b587",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-11-10T19:18:47Z",
    "title_canon_sha256": "469d68089fd9b86b8a091e0e0e561fb8a1b41fc10a9583ff09803c4366cfa1b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1549",
    "kind": "arxiv",
    "version": 2
  }
}