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Pith Number

pith:F4WOXIL3

pith:2017:F4WOXIL3O4VB3D2SRZN5D2RLVD
not attested not anchored not stored refs pending

Coactions of a finite dimensional $C^*$-Hopf algebra on unital $C^*$-algebras, unital inclusions of unital $C^*$-algebras and the strong Morita equivalence

Kazunori Kodaka, Tamotsu Teruya

arxiv:1706.09530 v1 · 2017-06-29 · 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{F4WOXIL3O4VB3D2SRZN5D2RLVD}

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 2026-05-18T00:41:14.824863Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f2ceba17b772a1d8f528e5bd1ea2ba8c6026307ed9ac4e2667cda17892dad9c

Aliases

arxiv: 1706.09530 · arxiv_version: 1706.09530v1 · doi: 10.48550/arxiv.1706.09530 · pith_short_12: F4WOXIL3O4VB · pith_short_16: F4WOXIL3O4VB3D2S · pith_short_8: F4WOXIL3
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/F4WOXIL3O4VB3D2SRZN5D2RLVD \
  | 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: 2f2ceba17b772a1d8f528e5bd1ea2ba8c6026307ed9ac4e2667cda17892dad9c
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "22de41847471cb52609c0a1a85f8b2b2f792a4451967c6676566ad4e4c6d19fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-29T00:56:29Z",
    "title_canon_sha256": "77aac08328d028fcaa5bff0fe81d3f0c55233949f086fd5c0778e2c0ed4d4a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09530",
    "kind": "arxiv",
    "version": 1
  }
}