Pith Number

pith:ZHSBQUGU

pith:2009:ZHSBQUGULZHWJI47ANGUIPT7YA

not attested not anchored not stored refs pending

Generalized exponents of small representations. II

Bogdan Ion

arxiv:0904.2487 v1 · 2009-04-16 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHSBQUGULZHWJI47ANGUIPT7YA}

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	2026-07-04T15:41:18.930828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e41850d45e4f64a39f034d443e7fc00bf45f4e07f2ec9e52c4766f2724bda3

Aliases

arxiv: 0904.2487 · arxiv_version: 0904.2487v1 · doi: 10.48550/arxiv.0904.2487 · pith_short_12: ZHSBQUGULZHW · pith_short_16: ZHSBQUGULZHWJI47 · pith_short_8: ZHSBQUGU

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/ZHSBQUGULZHWJI47ANGUIPT7YA \
  | 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: c9e41850d45e4f64a39f034d443e7fc00bf45f4e07f2ec9e52c4766f2724bda3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f300dccf4e8ac88b81aa3a88af16533e4731012b5442a67625e44cd1cb24b8d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-04-16T13:59:26Z",
    "title_canon_sha256": "449ef59eec5b6b21a10a980ca11f848302e0ec57bec1a06d5caec7e9672a0e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2487",
    "kind": "arxiv",
    "version": 1
  }
}