pith. sign in
Pith Number

pith:XJ2Q756G

pith:2012:XJ2Q756GUCZ5K34U3QT4KWHBXX
not attested not anchored not stored refs pending

Induced *-representations and $C^*$-envelopes of some quantum $*$-algebras

Philip A. Dowerk, Yurii Savchuk

arxiv:1206.2806 v1 · 2012-06-13 · math.OA · math.QA · math.RA · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XJ2Q756GUCZ5K34U3QT4KWHBXX}

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 2026-05-18T03:53:43.073150Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ba750ff7c6a0b3d56f94dc27c558e1bdd7c505536b82d9a1d541056e9598df38

Aliases

arxiv: 1206.2806 · arxiv_version: 1206.2806v1 · doi: 10.48550/arxiv.1206.2806 · pith_short_12: XJ2Q756GUCZ5 · pith_short_16: XJ2Q756GUCZ5K34U · pith_short_8: XJ2Q756G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XJ2Q756GUCZ5K34U3QT4KWHBXX \
  | 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: ba750ff7c6a0b3d56f94dc27c558e1bdd7c505536b82d9a1d541056e9598df38
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e1d8b8f8532d681673198d741883349d1b0b015e28efed7a44095d03359a1ac3",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-06-13T13:46:48Z",
    "title_canon_sha256": "439722a4eb4ebfce4614bda38f46bb8706c52947417c805b5457a450f825d70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2806",
    "kind": "arxiv",
    "version": 1
  }
}