Pith Number

pith:IUKTENKJ

pith:2013:IUKTENKJHWNWJMHJ7NSWTRW4CI

not attested not anchored not stored refs pending

The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups

Britta Spaeth, Shigeo Koshitani

arxiv:1310.5512 v1 · 2013-10-21 · math.GR · 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{IUKTENKJHWNWJMHJ7NSWTRW4CI}

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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	2026-05-18T03:09:35.218074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45153235493d9b64b0e9fb6569c6dc120a1c23bab57ecf8b5c48e9d52ca281d4

Aliases

arxiv: 1310.5512 · arxiv_version: 1310.5512v1 · doi: 10.48550/arxiv.1310.5512 · pith_short_12: IUKTENKJHWNW · pith_short_16: IUKTENKJHWNWJMHJ · pith_short_8: IUKTENKJ

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/IUKTENKJHWNWJMHJ7NSWTRW4CI \
  | 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: 45153235493d9b64b0e9fb6569c6dc120a1c23bab57ecf8b5c48e9d52ca281d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f377ca09cef29d7f200a4ff0228f9cb00aae3182fa69c34f37d2ab6b42d178b7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-21T11:36:15Z",
    "title_canon_sha256": "7470d76cf72ed7b4a16c6eb38a0caa8054be637a33424a4ab9fc58850918d951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5512",
    "kind": "arxiv",
    "version": 1
  }
}