Pith Number

pith:IVRULBEZ

pith:2018:IVRULBEZUH6XXG4ZMPVWXYY6KM

not attested not anchored not stored refs pending

Braided Morita equivalence for finite-dimensional semisimple and cosemisimple Hopf algebras

Michihisa Wakui

arxiv:1806.03042 v1 · 2018-06-08 · 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{IVRULBEZUH6XXG4ZMPVWXYY6KM}

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	2026-05-18T00:13:49.882144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4563458499a1fd7b9b9963eb6be31e5303427a9866912ded2e820386045b0f41

Aliases

arxiv: 1806.03042 · arxiv_version: 1806.03042v1 · doi: 10.48550/arxiv.1806.03042 · pith_short_12: IVRULBEZUH6X · pith_short_16: IVRULBEZUH6XXG4Z · pith_short_8: IVRULBEZ

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/IVRULBEZUH6XXG4ZMPVWXYY6KM \
  | 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: 4563458499a1fd7b9b9963eb6be31e5303427a9866912ded2e820386045b0f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f52c312025b8b34e71ae7656ad9e718b24351a4fb9ce38bed0d6c2da0d153519",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-06-08T09:33:39Z",
    "title_canon_sha256": "be004d51724bf15c66e93772074f5a8292519e8a062c98c2d3a9f5dc11f40741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03042",
    "kind": "arxiv",
    "version": 1
  }
}