Pith Number

pith:MTZJOMJV

pith:2013:MTZJOMJVEQYICKN5DHE76B44QQ

not attested not anchored not stored refs pending

Graded modules over classical simple Lie algebras with a grading

Alberto Elduque, Mikhail Kochetov

arxiv:1308.6089 v2 · 2013-08-28 · math.RT · 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{MTZJOMJVEQYICKN5DHE76B44QQ}

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	2026-05-18T01:36:36.191189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f297313524308129bd19c9ff079c84040566d3da7d7680aac8da931e614acf

Aliases

arxiv: 1308.6089 · arxiv_version: 1308.6089v2 · doi: 10.48550/arxiv.1308.6089 · pith_short_12: MTZJOMJVEQYI · pith_short_16: MTZJOMJVEQYICKN5 · pith_short_8: MTZJOMJV

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/MTZJOMJVEQYICKN5DHE76B44QQ \
  | 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: 64f297313524308129bd19c9ff079c84040566d3da7d7680aac8da931e614acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab47686a48625823fcfad36096b3fce065c5eafa0362c503cc57e29aba0a5fff",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-08-28T08:28:38Z",
    "title_canon_sha256": "65708a99400d0a88cb6d462c1ecdc22ae0df13b23af0f68cdc02e84880a4ad86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6089",
    "kind": "arxiv",
    "version": 2
  }
}