Pith Number

pith:ZF56THKK

pith:2009:ZF56THKKVE6Z5DZ6PODVIY3O3C

not attested not anchored not stored refs pending

Abelian ideals of maximal dimension for solvable Lie algebras

Dietrich Burde, Manuel Ceballos

arxiv:0911.2995 v2 · 2009-11-16 · 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{ZF56THKKVE6Z5DZ6PODVIY3O3C}

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	2026-05-18T00:56:58.525914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97be99d4aa93d9e8f3e7b8754636ed8859a2a76930df5a7c67892bc8c5f2a60

Aliases

arxiv: 0911.2995 · arxiv_version: 0911.2995v2 · doi: 10.48550/arxiv.0911.2995 · pith_short_12: ZF56THKKVE6Z · pith_short_16: ZF56THKKVE6Z5DZ6 · pith_short_8: ZF56THKK

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/ZF56THKKVE6Z5DZ6PODVIY3O3C \
  | 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: c97be99d4aa93d9e8f3e7b8754636ed8859a2a76930df5a7c67892bc8c5f2a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc0c0b0eed25c0d21e0fffeddbea0518e11787f1b16cca495d709a886672578",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-11-16T10:22:53Z",
    "title_canon_sha256": "04a7b0aefc442d08f267671847ca000040ec967516d5e06ae785c2dfc33ff5f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2995",
    "kind": "arxiv",
    "version": 2
  }
}