pith. sign in
Pith Number

pith:HBSXALY5

pith:2015:HBSXALY56Q74U5HEKBYHXXK5RI
not attested not anchored not stored refs pending

Quasi-coassociative C*-quantum groupoids of type A and modular C*-categories

Claudia Pinzari, Sergio Ciamprone

arxiv:1506.02619 v5 · 2015-06-08 · math.OA · math-ph · math.MP · 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{HBSXALY56Q74U5HEKBYHXXK5RI}

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 2026-05-18T00:32:31.621810Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3865702f1df43fca74e450707bdd5d8a114552fe75cce4a93f45c0b3038a9dc1

Aliases

arxiv: 1506.02619 · arxiv_version: 1506.02619v5 · doi: 10.48550/arxiv.1506.02619 · pith_short_12: HBSXALY56Q74 · pith_short_16: HBSXALY56Q74U5HE · pith_short_8: HBSXALY5
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/HBSXALY56Q74U5HEKBYHXXK5RI \
  | 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: 3865702f1df43fca74e450707bdd5d8a114552fe75cce4a93f45c0b3038a9dc1
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "161d0d9d01b5fb60530462565657a226bf698c253b2061591198c330093a6a4f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-06-08T19:08:55Z",
    "title_canon_sha256": "13ed7c9357a5b8a96e0b8973d96daae631112770a56660ebb137b11d6b996206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02619",
    "kind": "arxiv",
    "version": 5
  }
}