Pith Number

pith:44JUU6RS

pith:2009:44JUU6RSNPDKNO54DMW5T2YN3S

not attested not anchored not stored refs pending

Counting p'-characters in finite reductive groups

Olivier Brunat

arxiv:0906.1790 v2 · 2009-06-09 · 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{44JUU6RSNPDKNO54DMW5T2YN3S}

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	2026-05-18T02:58:03.106092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7134a7a326bc6a6bbbc1b2dd9eb0ddc8cee120987ed58b39f388ab31340ebff

Aliases

arxiv: 0906.1790 · arxiv_version: 0906.1790v2 · doi: 10.48550/arxiv.0906.1790 · pith_short_12: 44JUU6RSNPDK · pith_short_16: 44JUU6RSNPDKNO54 · pith_short_8: 44JUU6RS

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/44JUU6RSNPDKNO54DMW5T2YN3S \
  | 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: e7134a7a326bc6a6bbbc1b2dd9eb0ddc8cee120987ed58b39f388ab31340ebff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3e95cb88b73776b73c97bd34e2b5690ff0c07e9e76f0305c33337c546d7eb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-06-09T17:37:00Z",
    "title_canon_sha256": "36d30df176de1dcd57d682ebaa06857cc4e2b6c3bfc7d6bfd43455662f4067e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1790",
    "kind": "arxiv",
    "version": 2
  }
}