Pith Number

pith:ZLKVQQ5G

pith:2009:ZLKVQQ5GYPPPZDW3KX3LPXINAE

not attested not anchored not stored refs pending

Hilbert modules associated to parabolically induced representations of semisimple Lie groups

Pierre Clare

arxiv:0912.4190 v2 · 2009-12-21 · math.OA · 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{ZLKVQQ5GYPPPZDW3KX3LPXINAE}

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	2026-05-18T04:05:57.919261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad55843a6c3defc8edb55f6b7dd0d013ca946245ccf06ae2d957b21fd7675a2

Aliases

arxiv: 0912.4190 · arxiv_version: 0912.4190v2 · doi: 10.48550/arxiv.0912.4190 · pith_short_12: ZLKVQQ5GYPPP · pith_short_16: ZLKVQQ5GYPPPZDW3 · pith_short_8: ZLKVQQ5G

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/ZLKVQQ5GYPPPZDW3KX3LPXINAE \
  | 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: cad55843a6c3defc8edb55f6b7dd0d013ca946245ccf06ae2d957b21fd7675a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6290e260efa7efd1520b2d03e8751cd3b01bcf23571f470b8d4423f444d7394",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-12-21T15:26:41Z",
    "title_canon_sha256": "fe518006a4bb449ab506790036d2fa2de48f5032be0244071c8053eafed97497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4190",
    "kind": "arxiv",
    "version": 2
  }
}