Pith Number

pith:24TIPVRI

pith:2011:24TIPVRIB5N5KHEAV7WFOFVUD7

not attested not anchored not stored refs pending

Free Nilpotent Lie Algebras Admitting Ad-Invariant Metrics

Gabriela Ovando, Viviana del Barco

arxiv:1104.4773 v2 · 2011-04-25 · 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{24TIPVRIB5N5KHEAV7WFOFVUD7}

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	2026-05-18T03:53:29.471768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d72687d6280f5bd51c80afec5716b41fcaea247c5de8fccf14ffca255420a9ab

Aliases

arxiv: 1104.4773 · arxiv_version: 1104.4773v2 · doi: 10.48550/arxiv.1104.4773 · pith_short_12: 24TIPVRIB5N5 · pith_short_16: 24TIPVRIB5N5KHEA · pith_short_8: 24TIPVRI

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/24TIPVRIB5N5KHEAV7WFOFVUD7 \
  | 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: d72687d6280f5bd51c80afec5716b41fcaea247c5de8fccf14ffca255420a9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f25843c26ac23d7c1155eb6d4e9a87c50888f1903b4465f094b86711eba4753e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-04-25T18:56:31Z",
    "title_canon_sha256": "e877c2b1b1f5feddeca6648ef6c2a1c2daedd53ac6588c7d222d49782f3212d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4773",
    "kind": "arxiv",
    "version": 2
  }
}