Pith Number

pith:IRQI7WGR

pith:2021:IRQI7WGRJU3E2ICG572VNXDAHN

not attested not anchored not stored refs pending

Stable distributions and nilpotent orbital integrals

Jean-Loup Waldspurger (IMJ-PRG)

arxiv:2109.02373 v3 · 2021-09-06 · 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{IRQI7WGRJU3E2ICG572VNXDAHN}

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.

Cited by

1 paper in Pith

Germ expansion for SL(2) in arbitrary characteristics

Receipt and verification

First computed	2026-07-05T12:10:51.602844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44608fd8d14d364d2046eff556dc603b506c65ade8d92799b0c07f3977a8007c

Aliases

arxiv: 2109.02373 · arxiv_version: 2109.02373v3 · doi: 10.48550/arxiv.2109.02373 · pith_short_12: IRQI7WGRJU3E · pith_short_16: IRQI7WGRJU3E2ICG · pith_short_8: IRQI7WGR

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/IRQI7WGRJU3E2ICG572VNXDAHN \
  | 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: 44608fd8d14d364d2046eff556dc603b506c65ade8d92799b0c07f3977a8007c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "585f6026c2c7d4390e4134fea54aa8e50e2a49f0d4324b14a37a6acace699cb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-09-06T11:38:31Z",
    "title_canon_sha256": "700c4ebfde5baf4a28b7112755f2ae2ac4f15ef82934bcc3752d896d852a9270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02373",
    "kind": "arxiv",
    "version": 3
  }
}