Pith Number

pith:5OPB2CFU

pith:2026:5OPB2CFUXJDQGLGPOEWIYZDXVI

not attested not anchored not stored refs pending

On the action of the center in the $\ell$-adic categorical Langlands program

Konrad Zou

arxiv:2606.22747 v1 · 2026-06-22 · 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{5OPB2CFUXJDQGLGPOEWIYZDXVI}

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	2026-06-23T02:13:46.174204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9e1d08b4ba47032ccf712c8c6477aa301b822139577b46919f99c1e22a401f

Aliases

arxiv: 2606.22747 · arxiv_version: 2606.22747v1 · doi: 10.48550/arxiv.2606.22747 · pith_short_12: 5OPB2CFUXJDQ · pith_short_16: 5OPB2CFUXJDQGLGP · pith_short_8: 5OPB2CFU

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/5OPB2CFUXJDQGLGPOEWIYZDXVI \
  | 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: eb9e1d08b4ba47032ccf712c8c6477aa301b822139577b46919f99c1e22a401f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65ac5da2b852092d29008a9cd5138d55515e67f07659c5897ee87c37787dde6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-22T01:28:03Z",
    "title_canon_sha256": "784c0f5c06a9cf14ad507fa7d447f0c5865cd5f6bf8b95a4953ac61466a0d3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22747",
    "kind": "arxiv",
    "version": 1
  }
}