Pith Number

pith:32GXCPVE

pith:2011:32GXCPVEHI3YEAWDISK456ZRQU

not attested not anchored not stored refs pending

Cuspidal discrete series for semisimple symmetric spaces

Henrik Schlichtkrull, Mogens Flensted-Jensen, Nils Byrial Andersen

arxiv:1111.4031 v2 · 2011-11-17 · 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{32GXCPVEHI3YEAWDISK456ZRQU}

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	2026-05-18T03:49:19.883482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8d713ea43a378202c34495cefb318530bff8f57c197c5d22c7d9701ba66a1b

Aliases

arxiv: 1111.4031 · arxiv_version: 1111.4031v2 · doi: 10.48550/arxiv.1111.4031 · pith_short_12: 32GXCPVEHI3Y · pith_short_16: 32GXCPVEHI3YEAWD · pith_short_8: 32GXCPVE

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/32GXCPVEHI3YEAWDISK456ZRQU \
  | 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: de8d713ea43a378202c34495cefb318530bff8f57c197c5d22c7d9701ba66a1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28b523f29f6b1965f2f04e8db06118a3d13c276c4cf050a859f0252cbdf3fae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-17T08:18:04Z",
    "title_canon_sha256": "62043d19b9b236b62186759b97183e80d44f0bcdb09822433f2dd92cc3e9716c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4031",
    "kind": "arxiv",
    "version": 2
  }
}