Pith Number

pith:43MLMXO7

pith:2015:43MLMXO7RIKFKKHCRB7CJWPAH6

not attested not anchored not stored refs pending

Chief factors of Lie algebras

David A. Towers

arxiv:1512.08675 v1 · 2015-12-29 · 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{43MLMXO7RIKFKKHCRB7CJWPAH6}

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	2026-05-18T01:23:35.130487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6d8b65ddf8a145528e2887e24d9e03fa0f8ad14b322e1d3dc395c8fd6aa9a80

Aliases

arxiv: 1512.08675 · arxiv_version: 1512.08675v1 · doi: 10.48550/arxiv.1512.08675 · pith_short_12: 43MLMXO7RIKF · pith_short_16: 43MLMXO7RIKFKKHC · pith_short_8: 43MLMXO7

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/43MLMXO7RIKFKKHCRB7CJWPAH6 \
  | 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: e6d8b65ddf8a145528e2887e24d9e03fa0f8ad14b322e1d3dc395c8fd6aa9a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f8219445cc504ee7b3f013d13c02e53b43a4be27dc75dafa311e8e8459c111",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-29T13:21:39Z",
    "title_canon_sha256": "f866a4212b75b3cc743511fdd2a6c04a6bd6da0ce185822bb44b1c31e37c8ce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08675",
    "kind": "arxiv",
    "version": 1
  }
}