Pith Number

pith:IZMJSXCQ

pith:2009:IZMJSXCQMBFRAY2KU5TZNIC2MJ

not attested not anchored not stored refs pending

Generalized exponents of small representations. I

Bogdan Ion

arxiv:0904.2483 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{IZMJSXCQMBFRAY2KU5TZNIC2MJ}

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	2026-07-04T15:41:18.904339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4658995c50604b10634aa76796a05a625c4b43834b39b61e75e7e59f4be0b2c4

Aliases

arxiv: 0904.2483 · arxiv_version: 0904.2483v1 · doi: 10.48550/arxiv.0904.2483 · pith_short_12: IZMJSXCQMBFR · pith_short_16: IZMJSXCQMBFRAY2K · pith_short_8: IZMJSXCQ

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/IZMJSXCQMBFRAY2KU5TZNIC2MJ \
  | 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: 4658995c50604b10634aa76796a05a625c4b43834b39b61e75e7e59f4be0b2c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "576594bfeccd1be1c1de38043a3c2d08c085f75f8f46f15b36105786274484d0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-04-16T15:31:29Z",
    "title_canon_sha256": "b5cd61baa0db9219e19fb649978eca564384e2033db0dd9b9e1803e2eccd69a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2483",
    "kind": "arxiv",
    "version": 1
  }
}