Pith Number

pith:V7WILZFA

pith:2015:V7WILZFA5UKAO6B6PJMKAEB2QG

not attested not anchored not stored refs pending

Jordan-Chevalley decomposition in Lie algebras

Fernando Szechtman, Leandro Cagliero

arxiv:1512.09096 v2 · 2015-12-30 · 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{V7WILZFA5UKAO6B6PJMKAEB2QG}

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	2026-05-18T00:14:29.280609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afec85e4a0ed1407783e7a58a0103a81b7c8c9065a9b1943551433084360a77a

Aliases

arxiv: 1512.09096 · arxiv_version: 1512.09096v2 · doi: 10.48550/arxiv.1512.09096 · pith_short_12: V7WILZFA5UKA · pith_short_16: V7WILZFA5UKAO6B6 · pith_short_8: V7WILZFA

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/V7WILZFA5UKAO6B6PJMKAEB2QG \
  | 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: afec85e4a0ed1407783e7a58a0103a81b7c8c9065a9b1943551433084360a77a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7c37c8565593b527e13d3f5ba309d2e340e81b823f05dd7fb01612f722d63bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-30T20:18:22Z",
    "title_canon_sha256": "924de1bccd4a8eb68251530f42718f426cd59335bccd1a8784042960f42fa5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09096",
    "kind": "arxiv",
    "version": 2
  }
}