Pith Number

pith:SBVM4R4A

pith:2011:SBVM4R4APPE4H5D7UYLTJUGPUV

not attested not anchored not stored refs pending

New Irreducible Modules for Heisenberg and Affine Lie Algebras

Georgia Benkart, Iryna Kashuba, Viktor Bekkert, Vyacheslav Futorny

arxiv:1107.0893 v2 · 2011-07-05 · 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{SBVM4R4APPE4H5D7UYLTJUGPUV}

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	2026-05-18T03:48:13.740559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

906ace47807bc9c3f47fa61734d0cfa57f2235f96610aa1f877edcc37fc5d901

Aliases

arxiv: 1107.0893 · arxiv_version: 1107.0893v2 · doi: 10.48550/arxiv.1107.0893 · pith_short_12: SBVM4R4APPE4 · pith_short_16: SBVM4R4APPE4H5D7 · pith_short_8: SBVM4R4A

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/SBVM4R4APPE4H5D7UYLTJUGPUV \
  | 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: 906ace47807bc9c3f47fa61734d0cfa57f2235f96610aa1f877edcc37fc5d901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5dd1e4fae6f5cf23cb0a289bcc50393dcb6e96bed6accbbc14b96951d894c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-05T15:04:17Z",
    "title_canon_sha256": "361704c79d8515733d6024215f446074b46c85e1780de7430c687abf2e8f8e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0893",
    "kind": "arxiv",
    "version": 2
  }
}