Pith Number

pith:5XUODHPD

pith:2013:5XUODHPDDZD64IFZ3DCDEMJBQG

not attested not anchored not stored refs pending

Classification of simple $W_n$-modules with finite-dimensional weight spaces

Vyacheslav Futorny, Yuly Billig

arxiv:1304.5458 v1 · 2013-04-19 · 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{5XUODHPDDZD64IFZ3DCDEMJBQG}

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	2026-05-18T03:27:33.449511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede8e19de31e47ee20b9d8c432312181bee8d5298deed525820e7753afcf5a13

Aliases

arxiv: 1304.5458 · arxiv_version: 1304.5458v1 · doi: 10.48550/arxiv.1304.5458 · pith_short_12: 5XUODHPDDZD6 · pith_short_16: 5XUODHPDDZD64IFZ · pith_short_8: 5XUODHPD

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/5XUODHPDDZD64IFZ3DCDEMJBQG \
  | 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: ede8e19de31e47ee20b9d8c432312181bee8d5298deed525820e7753afcf5a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58cd875b6ebc286fffd080eb9b725749027a7f95e620944a920be60bf2ee9e80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-19T16:02:07Z",
    "title_canon_sha256": "fbbafadf0a934639c4a1109a9cc1768ca0015e98a5f71f0d3c6e010e155611c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5458",
    "kind": "arxiv",
    "version": 1
  }
}