pith. sign in
Pith Number

pith:YZRMR44X

pith:2015:YZRMR44XRRAPALSWZ7T255RA53
not attested not anchored not stored refs pending

The strong Morita equivalence for coactions of a finite dimensional $C^*$-Hopf algebra on unital $C^*$-algebras

Kazunori Kodaka, Tamotsu Teruya

arxiv:1510.01826 v1 · 2015-10-07 · 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{YZRMR44XRRAPALSWZ7T255RA53}

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 2026-05-18T01:30:50.302496Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c662c8f3978c40f02e56cfe7aef620eeddc77035dc91860561f45a36edac782f

Aliases

arxiv: 1510.01826 · arxiv_version: 1510.01826v1 · doi: 10.48550/arxiv.1510.01826 · pith_short_12: YZRMR44XRRAP · pith_short_16: YZRMR44XRRAPALSW · pith_short_8: YZRMR44X
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/YZRMR44XRRAPALSWZ7T255RA53 \
  | 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: c662c8f3978c40f02e56cfe7aef620eeddc77035dc91860561f45a36edac782f
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "2fc0ea792086b22b15b6381a62fe111dfe1514c37dc9af4a95fe0138d1f2a163",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-10-07T05:27:58Z",
    "title_canon_sha256": "89796cacd66e0dab280d6d8f969c3b78718a3bd8b6bab52bcbe369e92ae8d87c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01826",
    "kind": "arxiv",
    "version": 1
  }
}