Pith Number

pith:Z3XSUSP5

pith:2010:Z3XSUSP5PVYVQ6A6NDNPTB2Y4A

not attested not anchored not stored refs pending

The Langlands-Kottwitz approach for some simple Shimura Varieties

Peter Scholze

arxiv:1003.2451 v2 · 2010-03-12 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3XSUSP5PVYVQ6A6NDNPTB2Y4A}

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	2026-05-18T04:39:40.806728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceef2a49fd7d7158781e68daf98758e0322ae2c779c0587c95b4442a395ad11a

Aliases

arxiv: 1003.2451 · arxiv_version: 1003.2451v2 · doi: 10.48550/arxiv.1003.2451 · pith_short_12: Z3XSUSP5PVYV · pith_short_16: Z3XSUSP5PVYVQ6A6 · pith_short_8: Z3XSUSP5

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/Z3XSUSP5PVYVQ6A6NDNPTB2Y4A \
  | 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: ceef2a49fd7d7158781e68daf98758e0322ae2c779c0587c95b4442a395ad11a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ed2e5164f52dd0610365c84d089400cb4930f43b0dd80905a44bb0294a5b1e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-03-12T00:24:48Z",
    "title_canon_sha256": "5169c0481e21350b43012439a3d2f6e8561afdfc0c94d80abe877b5aab6803a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2451",
    "kind": "arxiv",
    "version": 2
  }
}