Pith Number

pith:DIKSTXNG

pith:2012:DIKSTXNGNDLEOMSBZUTZBG7A64

not attested not anchored not stored refs pending

Closed quantum subgroups of locally compact quantum groups

Adam Skalski, Matthew Daws, Pawe{\l} Kasprzak, Piotr M. So{\l}tan

arxiv:1203.5063 v3 · 2012-03-22 · math.OA · 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{DIKSTXNGNDLEOMSBZUTZBG7A64}

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	2026-05-18T03:36:58.233187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1529dda668d6473241cd27909be0f71c23907436b632bee0fba24d9360e99c

Aliases

arxiv: 1203.5063 · arxiv_version: 1203.5063v3 · doi: 10.48550/arxiv.1203.5063 · pith_short_12: DIKSTXNGNDLE · pith_short_16: DIKSTXNGNDLEOMSB · pith_short_8: DIKSTXNG

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/DIKSTXNGNDLEOMSBZUTZBG7A64 \
  | 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: 1a1529dda668d6473241cd27909be0f71c23907436b632bee0fba24d9360e99c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc2586611394fbbecb46f1bea98cd5cfeadc9f7e5cd13c238b35907cc9f764c2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-03-22T18:06:04Z",
    "title_canon_sha256": "deb3924fc28360b47a1c96ea1ba819e8e9b99291c0b06bdc599963fac6eff1c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5063",
    "kind": "arxiv",
    "version": 3
  }
}