Pith Number

pith:E3HAPUAR

pith:2010:E3HAPUAR7HMCTIHVFFNPGIQCSW

not attested not anchored not stored refs pending

Conjectures of Alperin and Broue for 2-blocks with elementary abelian defect groups of order 8

Markus Linckelmann, Radha Kessar, Shigeo Koshitani

arxiv:1012.3553 v1 · 2010-12-16 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3HAPUAR7HMCTIHVFFNPGIQCSW}

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	2026-05-18T04:33:06.326012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ce07d011f9d829a0f5295af3220295994d351090eb908680f4d83068b645aa

Aliases

arxiv: 1012.3553 · arxiv_version: 1012.3553v1 · doi: 10.48550/arxiv.1012.3553 · pith_short_12: E3HAPUAR7HMC · pith_short_16: E3HAPUAR7HMCTIHV · pith_short_8: E3HAPUAR

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/E3HAPUAR7HMCTIHVFFNPGIQCSW \
  | 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: 26ce07d011f9d829a0f5295af3220295994d351090eb908680f4d83068b645aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76da70f931555cd0beaeb8bbefe8d6ceff776edd39cc0cd689be8206ba670a5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-16T10:32:35Z",
    "title_canon_sha256": "111f8643aff4dfd3842269e72a9bdd5e4cd510713719831e7a3128394ef17e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3553",
    "kind": "arxiv",
    "version": 1
  }
}