Pith Number

pith:2UMGZ4QC

pith:2015:2UMGZ4QCWLRY37XTN4QWHZYYHB

not attested not anchored not stored refs pending

Liftings of Nichols algebras of diagonal type I. Cartan type A

Agust\'in Garc\'ia Iglesias, Iv\'an Angiono, Nicol\'as Andruskiewitsch

arxiv:1509.01622 v2 · 2015-09-04 · 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{2UMGZ4QCWLRY37XTN4QWHZYYHB}

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	2026-05-18T01:17:05.164166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5186cf202b2e38dfef36f2163e71838790602b8912889cad0719e32969c8776

Aliases

arxiv: 1509.01622 · arxiv_version: 1509.01622v2 · doi: 10.48550/arxiv.1509.01622 · pith_short_12: 2UMGZ4QCWLRY · pith_short_16: 2UMGZ4QCWLRY37XT · pith_short_8: 2UMGZ4QC

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/2UMGZ4QCWLRY37XTN4QWHZYYHB \
  | 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: d5186cf202b2e38dfef36f2163e71838790602b8912889cad0719e32969c8776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84308b050785da05fa5a6bd0744a30f588cb02e3f142f2f8cc2c6b62b63bdd6a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-04T22:15:32Z",
    "title_canon_sha256": "1d9a7e229e5eb5e6819c3046c929b47004554da53a9e44ae959ba6416a5d2fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01622",
    "kind": "arxiv",
    "version": 2
  }
}