Pith Number

pith:P7ZIJGR2

pith:2010:P7ZIJGR26E73ZFO4MUCQJMAFBR

not attested not anchored not stored refs pending

The classification of irreducible admissible mod p representations of a p-adic GL_n

Florian Herzig

arxiv:1005.1713 v2 · 2010-05-11 · 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{P7ZIJGR26E73ZFO4MUCQJMAFBR}

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	2026-05-18T02:24:08.535930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ff2849a3af13fbc95dc650504b0050c7844e32ef85deb3a501d9d8e2b638f01

Aliases

arxiv: 1005.1713 · arxiv_version: 1005.1713v2 · doi: 10.48550/arxiv.1005.1713 · pith_short_12: P7ZIJGR26E73 · pith_short_16: P7ZIJGR26E73ZFO4 · pith_short_8: P7ZIJGR2

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/P7ZIJGR26E73ZFO4MUCQJMAFBR \
  | 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: 7ff2849a3af13fbc95dc650504b0050c7844e32ef85deb3a501d9d8e2b638f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51dd3399d7552147b4e792d3572869eb1d9071445f51d3fb75663cf86cb08957",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-11T04:43:32Z",
    "title_canon_sha256": "a226d6f8e315a9f52ff444d348184cd5693affe34584c2edbc96a21b243387ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1713",
    "kind": "arxiv",
    "version": 2
  }
}