Pith Number

pith:Y7WVAK4V

pith:2019:Y7WVAK4VRDGPF7NHBUAA7CB7DD

not attested not anchored not stored refs pending

Simple $\mathfrak{sl}(V)$-modules which are free over an abelian subalgebra

Jonathan Nilsson

arxiv:1903.09431 v1 · 2019-03-22 · 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{Y7WVAK4VRDGPF7NHBUAA7CB7DD}

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	2026-05-17T23:50:39.643792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7ed502b9588ccf2fda70d000f883f18ed0fb4dab2566520cf500e1b41bc4879

Aliases

arxiv: 1903.09431 · arxiv_version: 1903.09431v1 · doi: 10.48550/arxiv.1903.09431 · pith_short_12: Y7WVAK4VRDGP · pith_short_16: Y7WVAK4VRDGPF7NH · pith_short_8: Y7WVAK4V

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/Y7WVAK4VRDGPF7NHBUAA7CB7DD \
  | 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: c7ed502b9588ccf2fda70d000f883f18ed0fb4dab2566520cf500e1b41bc4879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f93eba777ee07f4d2c179778a4a369f674359d53946c8a50e1110425641bc4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-03-22T10:19:35Z",
    "title_canon_sha256": "fcb5cb3c56f15aa442b7c305e821728a977f54d54d64b8c3056c742df9504b4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09431",
    "kind": "arxiv",
    "version": 1
  }
}