Pith Number

pith:R542PVAW

pith:2012:R542PVAWWC45E5OGUZ34XT63CO

not attested not anchored not stored refs pending

Genericity and contragredience in the local Langlands correspondence

Tasho Kaletha

arxiv:1204.0132 v2 · 2012-03-31 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R542PVAWWC45E5OGUZ34XT63CO}

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	2026-05-18T03:55:57.174181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f79a7d416b0b9d275c6a677cbcfdb13a04c2119336c1901ee8c042a4ded63c1

Aliases

arxiv: 1204.0132 · arxiv_version: 1204.0132v2 · doi: 10.48550/arxiv.1204.0132 · pith_short_12: R542PVAWWC45 · pith_short_16: R542PVAWWC45E5OG · pith_short_8: R542PVAW

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/R542PVAWWC45E5OGUZ34XT63CO \
  | 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: 8f79a7d416b0b9d275c6a677cbcfdb13a04c2119336c1901ee8c042a4ded63c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d860eb1b54af6b0a85b07edafd9b3ecced561d961053ba64edff59b6deaea3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-31T20:40:32Z",
    "title_canon_sha256": "b6d9f46d52a748250cc0240290d705d076bdf46c1990a9dc35bb1f3a2e9f5624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0132",
    "kind": "arxiv",
    "version": 2
  }
}