Pith Number

pith:DGEF43UN

pith:2011:DGEF43UNLEODZSOLMN4MESLMEM

not attested not anchored not stored refs pending

On the Lengths of Certain Chains of Subalgebras in Lie Algebras

David A. Towers

arxiv:1112.2296 v2 · 2011-12-10 · math.RA · math.GR · 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{DGEF43UNLEODZSOLMN4MESLMEM}

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	2026-05-18T03:26:23.308457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19885e6e8d591c3cc9cb6378c2496c231387d78e667a631401c1edc4ec868687

Aliases

arxiv: 1112.2296 · arxiv_version: 1112.2296v2 · doi: 10.48550/arxiv.1112.2296 · pith_short_12: DGEF43UNLEOD · pith_short_16: DGEF43UNLEODZSOL · pith_short_8: DGEF43UN

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/DGEF43UNLEODZSOLMN4MESLMEM \
  | 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: 19885e6e8d591c3cc9cb6378c2496c231387d78e667a631401c1edc4ec868687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ae5dd15d96c0d67d63489dbef911f088ff1889e1275e27f5900d32296df179",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-12-10T18:47:39Z",
    "title_canon_sha256": "c3353e3706c5e02bcb8835996f8487c0859238c67791a4e8877d6e2a4d9d6691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2296",
    "kind": "arxiv",
    "version": 2
  }
}