Pith Number

pith:SB6MRW7A

pith:2011:SB6MRW7AKCQO7Y7HRUHUYM45LX

not attested not anchored not stored refs pending

Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices

Antonios Manoussos, Herbert Abels

arxiv:1108.1123 v1 · 2011-08-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SB6MRW7AKCQO7Y7HRUHUYM45LX}

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	2026-05-18T04:16:12.642928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

907cc8dbe050a0efe3e78d0f4c339d5df7011fa19017161b0ff48d091f7e8037

Aliases

arxiv: 1108.1123 · arxiv_version: 1108.1123v1 · doi: 10.48550/arxiv.1108.1123 · pith_short_12: SB6MRW7AKCQO · pith_short_16: SB6MRW7AKCQO7Y7H · pith_short_8: SB6MRW7A

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/SB6MRW7AKCQO7Y7HRUHUYM45LX \
  | 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: 907cc8dbe050a0efe3e78d0f4c339d5df7011fa19017161b0ff48d091f7e8037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad882acc1b897c6e1cd57bbeaaafbbdf23ce64a1e1c5c31932497dafcdc75ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-04T15:53:11Z",
    "title_canon_sha256": "d212983d66b900d4fc06ff781c5585eb272eca9729777c59cf0ea2235a8964c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1123",
    "kind": "arxiv",
    "version": 1
  }
}