Pith Number

pith:ATAIX6LF

pith:2017:ATAIX6LFSV6Y3YZUZDUCMAY2KG

not attested not anchored not stored refs pending

Categorical Morita equivalence and monoidal Morita equivalence of semisimple Hopf algebras of dimension pqr

Zhiqiang Yu

arxiv:1705.01694 v2 · 2017-05-04 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATAIX6LFSV6Y3YZUZDUCMAY2KG}

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	2026-05-18T00:44:06.661721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c08bf965957d8de334c8e826031a51989dcccef5b3bbf6e584ba62c0b89b48

Aliases

arxiv: 1705.01694 · arxiv_version: 1705.01694v2 · doi: 10.48550/arxiv.1705.01694 · pith_short_12: ATAIX6LFSV6Y · pith_short_16: ATAIX6LFSV6Y3YZU · pith_short_8: ATAIX6LF

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/ATAIX6LFSV6Y3YZUZDUCMAY2KG \
  | 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: 04c08bf965957d8de334c8e826031a51989dcccef5b3bbf6e584ba62c0b89b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289bb57e149ef145dc5ce584cd26cf0548bfeed07ee90995327d33c7479e5e12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-05-04T03:53:47Z",
    "title_canon_sha256": "e6ef01b550a1f0ca3d544d1f1de0bbb6af4a07f80f3d0f0c746f814a5cf3abb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01694",
    "kind": "arxiv",
    "version": 2
  }
}