Pith Number

pith:YG43YXAZ

pith:2011:YG43YXAZNF55CZFFDFPRRMKDOT

not attested not anchored not stored refs pending

On a classification of irreducible admissible modulo $p$ representations of a $p$-adic split reductive group

Noriyuki Abe

arxiv:1103.2525 v3 · 2011-03-13 · 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{YG43YXAZNF55CZFFDFPRRMKDOT}

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	2026-05-17T23:53:36.683493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b9bc5c19697bd164a5195f18b14374f9187ec8d8373633937622b1326cb671

Aliases

arxiv: 1103.2525 · arxiv_version: 1103.2525v3 · doi: 10.48550/arxiv.1103.2525 · pith_short_12: YG43YXAZNF55 · pith_short_16: YG43YXAZNF55CZFF · pith_short_8: YG43YXAZ

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/YG43YXAZNF55CZFFDFPRRMKDOT \
  | 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: c1b9bc5c19697bd164a5195f18b14374f9187ec8d8373633937622b1326cb671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8982388885156c39c4447a58aab6f5e1c2b79f2505fc0e3f6ce34c15153bc9f9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-03-13T15:46:25Z",
    "title_canon_sha256": "66f87230bac3072bfd2809ecb80908fa9d36a6dc5129d747d6e83bebee70d749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2525",
    "kind": "arxiv",
    "version": 3
  }
}