Pith Number

pith:HKKI3KUZ

pith:2011:HKKI3KUZ5CBYEJKS53JNDUT6OL

not attested not anchored not stored refs pending

Local integrability results in harmonic analysis on reductive groups in large positive characteristic

Immanuel Halupczok, Julia Gordon, Raf Cluckers

arxiv:1111.7057 v4 · 2011-11-30 · math.RT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKKI3KUZ5CBYEJKS53JNDUT6OL}

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	2026-05-18T03:12:33.449822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a948daa99e883822552eed2d1d27e72e87560035ff1f7d4aefb7b0762326c37

Aliases

arxiv: 1111.7057 · arxiv_version: 1111.7057v4 · doi: 10.48550/arxiv.1111.7057 · pith_short_12: HKKI3KUZ5CBY · pith_short_16: HKKI3KUZ5CBYEJKS · pith_short_8: HKKI3KUZ

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/HKKI3KUZ5CBYEJKS53JNDUT6OL \
  | 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: 3a948daa99e883822552eed2d1d27e72e87560035ff1f7d4aefb7b0762326c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33520bd6cc22b11d82df0a432ca21f92b4718c7cf423a65865c2d1b83bd02a60",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-30T06:22:24Z",
    "title_canon_sha256": "cf1e0b28abce4668bd41edff1ffd88327f8cafbdfbba6db26c1edfef7f3bca4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7057",
    "kind": "arxiv",
    "version": 4
  }
}