Pith Number

pith:WWFY2LXL

pith:2012:WWFY2LXLEQK3SL5DFTFAQVUSN5

not attested not anchored not stored refs pending

Weyl modules and Levi subalgebras

Ghislain Fourier

arxiv:1212.6505 v3 · 2012-12-28 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWFY2LXLEQK3SL5DFTFAQVUSN5}

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	2026-05-18T03:07:34.515543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58b8d2eeb2415b92fa32cca0856926f5f9f3df0b7eb40dcb34b6fcbaad919f7

Aliases

arxiv: 1212.6505 · arxiv_version: 1212.6505v3 · doi: 10.48550/arxiv.1212.6505 · pith_short_12: WWFY2LXLEQK3 · pith_short_16: WWFY2LXLEQK3SL5D · pith_short_8: WWFY2LXL

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/WWFY2LXLEQK3SL5DFTFAQVUSN5 \
  | 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: b58b8d2eeb2415b92fa32cca0856926f5f9f3df0b7eb40dcb34b6fcbaad919f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68808140e91394e2215b1b9ae00186a1c35dc16a34217c6917b45b6cac4e6905",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-28T11:38:28Z",
    "title_canon_sha256": "ef21651f50e5207517b9daf0cf9b445f2d154fe5ab3ab1d760048304bfe63658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6505",
    "kind": "arxiv",
    "version": 3
  }
}