Pith Number

pith:R62DS4WW

pith:2015:R62DS4WWU7Q62M4UXAO7NG4H5R

not attested not anchored not stored refs pending

Open quantum subgroups of locally compact quantum groups

Adam Skalski, Mehrdad Kalantar, Pawe{\l} Kasprzak

arxiv:1511.03952 v2 · 2015-11-12 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R62DS4WWU7Q62M4UXAO7NG4H5R}

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	2026-05-18T01:09:11.856930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb43972d6a7e1ed3394b81df69b87ec45c9e7af02689ba2f08650ae65a1e6cc

Aliases

arxiv: 1511.03952 · arxiv_version: 1511.03952v2 · doi: 10.48550/arxiv.1511.03952 · pith_short_12: R62DS4WWU7Q6 · pith_short_16: R62DS4WWU7Q62M4U · pith_short_8: R62DS4WW

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/R62DS4WWU7Q62M4UXAO7NG4H5R \
  | 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: 8fb43972d6a7e1ed3394b81df69b87ec45c9e7af02689ba2f08650ae65a1e6cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c76229e04ad7b8d6e3fc9a2a61b2f584093c079edbedbfe807700fe7497bf1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-12T16:29:19Z",
    "title_canon_sha256": "04656378cf88ad6c5f12e57b2529d59677db8eb1b27c66c44357dcaf1ff4efd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03952",
    "kind": "arxiv",
    "version": 2
  }
}