Pith Number

pith:VN34Z3PB

pith:2013:VN34Z3PBOMGZ6R5RTFPM3WVFMW

not attested not anchored not stored refs pending

Two-parameter analogs of the Heisenberg enveloping algebra

Jason Gaddis

arxiv:1308.4427 v2 · 2013-08-20 · 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{VN34Z3PBOMGZ6R5RTFPM3WVFMW}

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	2026-05-18T00:09:00.921932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab77ccede1730d9f47b1995ecddaa565a648310725f59eff61a2909b64aa34a2

Aliases

arxiv: 1308.4427 · arxiv_version: 1308.4427v2 · doi: 10.48550/arxiv.1308.4427 · pith_short_12: VN34Z3PBOMGZ · pith_short_16: VN34Z3PBOMGZ6R5R · pith_short_8: VN34Z3PB

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/VN34Z3PBOMGZ6R5RTFPM3WVFMW \
  | 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: ab77ccede1730d9f47b1995ecddaa565a648310725f59eff61a2909b64aa34a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d69c4a61f7ff9f8d358fe07e3f5ac7cdb5674630e5af08cc3db167d9d1f09b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-20T20:23:12Z",
    "title_canon_sha256": "ea67ec048d0ca4bb8c2bac772d5429cb8c42b202885ed9657e64d1314c29ffc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4427",
    "kind": "arxiv",
    "version": 2
  }
}