Pith Number

pith:FKZIO5D7

pith:2010:FKZIO5D7J5VNNZBYPFDSRQTYB3

not attested not anchored not stored refs pending

Compact quantum subgroups and left invariant C*-subalgebras of locally compact quantum groups

Pekka Salmi

arxiv:1004.4161 v3 · 2010-04-23 · math.OA · math.FA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKZIO5D7J5VNNZBYPFDSRQTYB3}

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	2026-05-18T04:03:57.135708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab287747f4f6ad6e438794728c2780ef49e8e9ccf8052cf563764adf687e9f0

Aliases

arxiv: 1004.4161 · arxiv_version: 1004.4161v3 · doi: 10.48550/arxiv.1004.4161 · pith_short_12: FKZIO5D7J5VN · pith_short_16: FKZIO5D7J5VNNZBY · pith_short_8: FKZIO5D7

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/FKZIO5D7J5VNNZBYPFDSRQTYB3 \
  | 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: 2ab287747f4f6ad6e438794728c2780ef49e8e9ccf8052cf563764adf687e9f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a4231bbc8b6a09d585b79a9e0c814887a8f4f9a6bc7918b255c608443d8a55",
    "cross_cats_sorted": [
      "math.FA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-04-23T15:32:45Z",
    "title_canon_sha256": "372c9279e14fd6e4659448beef25104ac9fa8b4b85d1d460f9d5abb9a3755724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4161",
    "kind": "arxiv",
    "version": 3
  }
}