Pith Number

pith:4PGNDB3A

pith:2014:4PGNDB3ALCSHKIRAV2VJBUG2OI

not attested not anchored not stored refs pending

Bianchi's classification of 3-dimensional Lie algebras revisited

Achim Krause, Frank Loose, Manuel Glas, Panagiotis Konstantis

arxiv:1403.2278 v1 · 2014-03-10 · 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{4PGNDB3ALCSHKIRAV2VJBUG2OI}

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	2026-05-18T02:56:44.907379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ccd1876058a4752220aeaa90d0da722c22681d556b90936c942d30ba122b09

Aliases

arxiv: 1403.2278 · arxiv_version: 1403.2278v1 · doi: 10.48550/arxiv.1403.2278 · pith_short_12: 4PGNDB3ALCSH · pith_short_16: 4PGNDB3ALCSHKIRA · pith_short_8: 4PGNDB3A

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/4PGNDB3ALCSHKIRAV2VJBUG2OI \
  | 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: e3ccd1876058a4752220aeaa90d0da722c22681d556b90936c942d30ba122b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a09d28436a3039b369e01062988c8fb58070dd5956a13432932862a851f65b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-03-10T16:03:38Z",
    "title_canon_sha256": "a76934752fa342a5052bf3924ab6818b77a4cc6021df12b5eedc735376e1df3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2278",
    "kind": "arxiv",
    "version": 1
  }
}