Pith Number

pith:KQBLKYAE

pith:2018:KQBLKYAEMYTTMW5Z6HNCHBWBBA

not attested not anchored not stored refs pending

Quantum Langlands duality of representations of W-algebras

Edward Frenkel, Tomoyuki Arakawa

arxiv:1807.01536 v3 · 2018-07-04 · math.QA · hep-th · math.AG · 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{KQBLKYAEMYTTMW5Z6HNCHBWBBA}

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

Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules

Receipt and verification

First computed	2026-07-05T00:10:31.045982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5402b560046627365bb9f1da2386c10839504d3f92700927590e7a98322c2e5b

Aliases

arxiv: 1807.01536 · arxiv_version: 1807.01536v3 · doi: 10.48550/arxiv.1807.01536 · pith_short_12: KQBLKYAEMYTT · pith_short_16: KQBLKYAEMYTTMW5Z · pith_short_8: KQBLKYAE

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/KQBLKYAEMYTTMW5Z6HNCHBWBBA \
  | 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: 5402b560046627365bb9f1da2386c10839504d3f92700927590e7a98322c2e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17579e0cce72f08a8e54a73d42e3ebc54e370b877f5fd5938c6439db56b49f4",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-07-04T12:19:37Z",
    "title_canon_sha256": "fcbb930ef1a14f30ca7a7b9a2ac7843e520fd2823f9a0e452f9ff55a836a6d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01536",
    "kind": "arxiv",
    "version": 3
  }
}