Pith Number

pith:LX6GSN2Z

pith:2024:LX6GSN2Z45XAKN7COXZ3LBXVXQ

not attested not anchored not stored refs pending

Kazhdan-Lusztig map and Langlands duality

Anlong Chua

arxiv:2403.07080 v2 · 2024-03-11 · 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{LX6GSN2Z45XAKN7COXZ3LBXVXQ}

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

Langlands Duality and Invariant Differential Operators

Receipt and verification

First computed	2026-07-05T07:55:46.684613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dfc693759e76e0537e275f3b586f5bc1c86b222b6203c53b9f3ae1df605d94e

Aliases

arxiv: 2403.07080 · arxiv_version: 2403.07080v2 · doi: 10.48550/arxiv.2403.07080 · pith_short_12: LX6GSN2Z45XA · pith_short_16: LX6GSN2Z45XAKN7C · pith_short_8: LX6GSN2Z

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/LX6GSN2Z45XAKN7COXZ3LBXVXQ \
  | 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: 5dfc693759e76e0537e275f3b586f5bc1c86b222b6203c53b9f3ae1df605d94e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b630dc62c272bae36e70521f958a5b78b5a02f545795fb65cb64fabdc5ade6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-03-11T18:14:05Z",
    "title_canon_sha256": "2f33fa190dd0a9ec114e85312e5e231ff63cf1110ced4b841b9df9c84835b042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.07080",
    "kind": "arxiv",
    "version": 2
  }
}