Pith Number

pith:3DMVKZT7

pith:2026:3DMVKZT7ERAZUBOSIEPECUXJQT

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A new new coproduct on quantum loop algebras

Andrei Negu\c{t}

A coproduct is defined on general quantum loop algebras that reduces to the Drinfeld-Jimbo coproduct on U_q(ĝ).

arxiv:2602.01130 v3 · 2026-02-01 · math.RT · math.QA

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\pithnumber{3DMVKZT7ERAZUBOSIEPECUXJQT}

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Claims

C1strongest claim

we define a coproduct on general quantum loop algebras, which coincides with the Drinfeld-Jimbo coproduct in the particular case of U_q(ĝ)

C2weakest assumption

That a single coproduct can be defined on arbitrary quantum loop algebras while preserving all required algebraic compatibilities (coassociativity, compatibility with the algebra structure) that hold in the special case.

C3one line summary

A new coproduct is defined on general quantum loop algebras that coincides with the Drinfeld-Jimbo coproduct for U_q(ĝ).

Receipt and verification

First computed	2026-06-12T01:09:21.455452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8d955667f24419a05d2411e4152e984d9a997616a17789d67ecb49abd56aeee

Aliases

arxiv: 2602.01130 · arxiv_version: 2602.01130v3 · doi: 10.48550/arxiv.2602.01130 · pith_short_12: 3DMVKZT7ERAZ · pith_short_16: 3DMVKZT7ERAZUBOS · pith_short_8: 3DMVKZT7

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3DMVKZT7ERAZUBOSIEPECUXJQT \
  | 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: d8d955667f24419a05d2411e4152e984d9a997616a17789d67ecb49abd56aeee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9140a6dc0571134fa50317e652fe859bfb2da7b5ebcd6af1a290bca65ace12fb",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-02-01T10:00:10Z",
    "title_canon_sha256": "bca84c79b1daddbba7cb7a8847f85b4b21024a335822a473671763202ecd401b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.01130",
    "kind": "arxiv",
    "version": 3
  }
}