Pith Number

pith:5HQBPRME

pith:2018:5HQBPRMEP4QXRSHA6YGU5OUETR

not attested not anchored not stored refs pending

Presentations of linear monoidal categories and their endomorphism algebras

Bingyan Liu

arxiv:1810.10988 v1 · 2018-10-25 · 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{5HQBPRMEP4QXRSHA6YGU5OUETR}

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.

Cited by

1 paper in Pith

Higher-level affine wreath product algebras

Receipt and verification

First computed	2026-05-18T00:02:18.697298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e017c5847f2178c8e0f60d4eba849c4d820d69cf716ad0b9ec146c33842629

Aliases

arxiv: 1810.10988 · arxiv_version: 1810.10988v1 · doi: 10.48550/arxiv.1810.10988 · pith_short_12: 5HQBPRMEP4QX · pith_short_16: 5HQBPRMEP4QXRSHA · pith_short_8: 5HQBPRME

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/5HQBPRMEP4QXRSHA6YGU5OUETR \
  | 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: e9e017c5847f2178c8e0f60d4eba849c4d820d69cf716ad0b9ec146c33842629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2de27cef33254bc39cb75bd88156d2d4fa20454202c8497c77f60eb78312789",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-10-25T17:23:46Z",
    "title_canon_sha256": "9b43c975fb8add4f027591e5801ecf22c673b14c38b264a1dacbb26d35219461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10988",
    "kind": "arxiv",
    "version": 1
  }
}