Pith Number

pith:J43DRS4S

pith:2018:J43DRS4S776MATMKGLKYZ3BN6M

not attested not anchored not stored refs pending

Steinberg squares and tensor products of tilting modules with simple modules

Paul Sobaje

arxiv:1812.06711 v1 · 2018-12-17 · 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{J43DRS4S776MATMKGLKYZ3BN6M}

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	2026-05-17T23:58:09.499297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3638cb92fffcc04d8a32d58cec2df322b345781bb773274b6d12fc9de3919c

Aliases

arxiv: 1812.06711 · arxiv_version: 1812.06711v1 · doi: 10.48550/arxiv.1812.06711 · pith_short_12: J43DRS4S776M · pith_short_16: J43DRS4S776MATMK · pith_short_8: J43DRS4S

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/J43DRS4S776MATMKGLKYZ3BN6M \
  | 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: 4f3638cb92fffcc04d8a32d58cec2df322b345781bb773274b6d12fc9de3919c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e96899b1e16b908662e52552df523ab18c0338065c79bb5f8aa4a4be95af80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-12-17T11:30:46Z",
    "title_canon_sha256": "46bd718cac028c2591f6077d258ece3cad917b7f66c5aab7b4497f561b33b7df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06711",
    "kind": "arxiv",
    "version": 1
  }
}