Pith Number

pith:SGOCJRN3

pith:2010:SGOCJRN3YF4KI2JXOF2JHVKVFL

not attested not anchored not stored refs pending

Universal Enveloping Algebras of PBW Type

Alessandro Ardizzoni

arxiv:1008.4523 v2 · 2010-08-26 · math.QA · 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{SGOCJRN3YF4KI2JXOF2JHVKVFL}

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	2026-05-18T04:32:36.151918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919c24c5bbc178a46937717493d5552acd079a4f22bb4aef643a903a166c9bbf

Aliases

arxiv: 1008.4523 · arxiv_version: 1008.4523v2 · doi: 10.48550/arxiv.1008.4523 · pith_short_12: SGOCJRN3YF4K · pith_short_16: SGOCJRN3YF4KI2JX · pith_short_8: SGOCJRN3

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/SGOCJRN3YF4KI2JXOF2JHVKVFL \
  | 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: 919c24c5bbc178a46937717493d5552acd079a4f22bb4aef643a903a166c9bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ba7b72eaef2b9fce9f06d1f877e125320fb4edc83980df378bce5f711e5cde",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-08-26T14:39:33Z",
    "title_canon_sha256": "71df70500ea1b98732de4cd8574ad88268e26d89f4b258409545237f7113efe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4523",
    "kind": "arxiv",
    "version": 2
  }
}