Pith Number

pith:HXT3VR6N

pith:2009:HXT3VR6NE56N24DORBLNJVAMLT

not attested not anchored not stored refs pending

Langlands duality for finite-dimensional representations of quantum affine algebras

David Hernandez, Edward Frenkel

arxiv:0902.0447 v4 · 2009-02-03 · math.QA · hep-th · 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{HXT3VR6NE56N24DORBLNJVAMLT}

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	2026-05-18T04:24:04.354489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de7bac7cd277cdd706e8856d4d40c5cc924465390f9771e3ae6421d21733d1e

Aliases

arxiv: 0902.0447 · arxiv_version: 0902.0447v4 · doi: 10.48550/arxiv.0902.0447 · pith_short_12: HXT3VR6NE56N · pith_short_16: HXT3VR6NE56N24DO · pith_short_8: HXT3VR6N

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/HXT3VR6NE56N24DORBLNJVAMLT \
  | 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: 3de7bac7cd277cdd706e8856d4d40c5cc924465390f9771e3ae6421d21733d1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6d66c20850cb76a09a8673e292def152dbba763f8b37fdb795ca330b2649ba",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-02-03T17:07:21Z",
    "title_canon_sha256": "df4525663681eee4a3aea983d8f179faf1fabb4733f96c1d835e1ca0fa997be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0447",
    "kind": "arxiv",
    "version": 4
  }
}