Pith Number

pith:CWOJNACG

pith:2017:CWOJNACGEWDKDGZJTW2AKLLKQR

not attested not anchored not stored refs pending

The ascending central series of nilpotent Lie algebras with complex structure

A. Latorre, L. Ugarte, R. Villacampa

arxiv:1708.05059 v2 · 2017-08-16 · math.RA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWOJNACGEWDKDGZJTW2AKLLKQR}

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	2026-05-17T23:44:22.973180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159c9680462586a19b299db4052d6a844485713a7c237115f53d5ae622197562

Aliases

arxiv: 1708.05059 · arxiv_version: 1708.05059v2 · doi: 10.48550/arxiv.1708.05059 · pith_short_12: CWOJNACGEWDK · pith_short_16: CWOJNACGEWDKDGZJ · pith_short_8: CWOJNACG

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/CWOJNACGEWDKDGZJTW2AKLLKQR \
  | 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: 159c9680462586a19b299db4052d6a844485713a7c237115f53d5ae622197562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f43e7f73c96d1b6558856edac79f0b05d29ecf408bd3cd913cdb9d54239050",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-08-16T20:20:15Z",
    "title_canon_sha256": "bde068a0a0b2f1020c3e8e50f71882d9995ef1fcaac809c322e7143bcc1cd5aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05059",
    "kind": "arxiv",
    "version": 2
  }
}