Pith Number

pith:42X4U4A7

pith:2012:42X4U4A7OPJL7J3QAMYBOPYICU

not attested not anchored not stored refs pending

A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible Modules

Georgia Benkart, Matthew Ondrus, Samuel A. Lopes

arxiv:1212.1404 v2 · 2012-12-06 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42X4U4A7OPJL7J3QAMYBOPYICU}

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	2026-05-18T03:28:42.222071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6afca701f73d2bfa7700330173f08152363b1bbe79ab77a5077e66b089837e6

Aliases

arxiv: 1212.1404 · arxiv_version: 1212.1404v2 · doi: 10.48550/arxiv.1212.1404 · pith_short_12: 42X4U4A7OPJL · pith_short_16: 42X4U4A7OPJL7J3Q · pith_short_8: 42X4U4A7

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/42X4U4A7OPJL7J3QAMYBOPYICU \
  | 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: e6afca701f73d2bfa7700330173f08152363b1bbe79ab77a5077e66b089837e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29405d17e61bcba22fabb185bf2c92b23c88b0e1583b797b0db48ebc5cba6a06",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-06T18:13:50Z",
    "title_canon_sha256": "5e2bc2e59349c029b7e303499354c6c6daa9200b51a281b9bd0ac0dea1ea1e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1404",
    "kind": "arxiv",
    "version": 2
  }
}