Pith Number

pith:A2UJ5CFX

pith:2010:A2UJ5CFXDZ7T3CSCKZCBARZJY4

not attested not anchored not stored refs pending

On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups

Howard Garland

arxiv:1009.4507 v3 · 2010-09-23 · math.RT · 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{A2UJ5CFXDZ7T3CSCKZCBARZJY4}

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	2026-05-18T04:35:04.552356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06a89e88b71e7f3d8a425644104729c7299eca870c30aacc2953b301f181249a

Aliases

arxiv: 1009.4507 · arxiv_version: 1009.4507v3 · doi: 10.48550/arxiv.1009.4507 · pith_short_12: A2UJ5CFXDZ7T · pith_short_16: A2UJ5CFXDZ7T3CSC · pith_short_8: A2UJ5CFX

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/A2UJ5CFXDZ7T3CSCKZCBARZJY4 \
  | 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: 06a89e88b71e7f3d8a425644104729c7299eca870c30aacc2953b301f181249a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b555e2c285925143e3351752ab3c3c7747bbbc06a5a3ebf090c36305ea3882",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-23T00:40:26Z",
    "title_canon_sha256": "6783ca70789e422cba876561b385cdb1dc5ae8914d2bbf85428755b468e9bfb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4507",
    "kind": "arxiv",
    "version": 3
  }
}