Pith Number

pith:CKL5ZCF7

pith:2022:CKL5ZCF7JJZV74IB3JJ6BZBUR3

not attested not anchored not stored refs pending

Branching rule decomposition of the level-1 $E_8^{(1)}$-module with respect to the irregular subalgebra $F_4^{(1)} \oplus G_2^{(1)}$

Joshua D. Carey

arxiv:2206.00163 v2 · 2022-06-01 · 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{CKL5ZCF7JJZV74IB3JJ6BZBUR3}

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	2026-05-20T01:04:29.806228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1297dc88bf4a735ff101da53e0e4348ede7de3dcc6062a9bda87abb41f56c89d

Aliases

arxiv: 2206.00163 · arxiv_version: 2206.00163v2 · doi: 10.48550/arxiv.2206.00163 · pith_short_12: CKL5ZCF7JJZV · pith_short_16: CKL5ZCF7JJZV74IB · pith_short_8: CKL5ZCF7

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/CKL5ZCF7JJZV74IB3JJ6BZBUR3 \
  | 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: 1297dc88bf4a735ff101da53e0e4348ede7de3dcc6062a9bda87abb41f56c89d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e29ef1e29ce9123277d10ba004bde3e303d0566bc95565946e5863d369090f60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-06-01T00:37:00Z",
    "title_canon_sha256": "240c108a1d6e9e28c35dd591302392ab56a3d11ed82e763e406e2297a1920f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.00163",
    "kind": "arxiv",
    "version": 2
  }
}