Pith Number

pith:6K4IQAKO

pith:2011:6K4IQAKONWC2PBVJIIFXTQ4SQO

not attested not anchored not stored refs pending

A congruence property of the local Langlands correspondence

Colin J. Bushnell, Guy Henniart

arxiv:1107.2266 v1 · 2011-07-12 · math.NT · 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{6K4IQAKONWC2PBVJIIFXTQ4SQO}

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	2026-05-18T03:10:58.610110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b888014e6d85a786a9420b79c392838681cf5859d22de15fb465a566dc491a

Aliases

arxiv: 1107.2266 · arxiv_version: 1107.2266v1 · doi: 10.48550/arxiv.1107.2266 · pith_short_12: 6K4IQAKONWC2 · pith_short_16: 6K4IQAKONWC2PBVJ · pith_short_8: 6K4IQAKO

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/6K4IQAKONWC2PBVJIIFXTQ4SQO \
  | 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: f2b888014e6d85a786a9420b79c392838681cf5859d22de15fb465a566dc491a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f248b586b6e0eed8ade2dc585149a3941fd8a7fab45b03225194c2172603475",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-12T12:36:06Z",
    "title_canon_sha256": "e80f12e86d18d2ccc347d81f317f96b03a00108e4da6d7dbef787707f00e5c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2266",
    "kind": "arxiv",
    "version": 1
  }
}