Pith Number

pith:Z7OJVMYI

pith:2013:Z7OJVMYI56YZ4H3J4PHKHA35ZM

not attested not anchored not stored refs pending

Subalgebras that cover or avoid chief factors of Lie algebras

David A. Towers

arxiv:1311.7270 v2 · 2013-11-28 · math.RA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7OJVMYI56YZ4H3J4PHKHA35ZM}

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	2026-05-18T02:43:09.268146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfdc9ab308efb19e1f69e3cea3837dcb27d9038b47da9635e9433272205671bf

Aliases

arxiv: 1311.7270 · arxiv_version: 1311.7270v2 · doi: 10.48550/arxiv.1311.7270 · pith_short_12: Z7OJVMYI56YZ · pith_short_16: Z7OJVMYI56YZ4H3J · pith_short_8: Z7OJVMYI

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/Z7OJVMYI56YZ4H3J4PHKHA35ZM \
  | 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: cfdc9ab308efb19e1f69e3cea3837dcb27d9038b47da9635e9433272205671bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39f0b22c6f2844fbc35cd83caf49a7deb04d7e76bae187f8a3c4a4b918b5f96b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-11-28T10:46:25Z",
    "title_canon_sha256": "09897cb2c961231f9d8459cc3951898fb4f67612683d2a69e6f5cd6b7d055aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7270",
    "kind": "arxiv",
    "version": 2
  }
}