Pith Number

pith:35VQEPTJ

pith:2021:35VQEPTJJGR2PBBZJSK2CKQOVI

not attested not anchored not stored refs pending

Morita equivalences and the inductive blockwise Alperin weight condition for type $\mathsf A$

Jiping Zhang, Zhenye Li, Zhicheng Feng

arxiv:2104.02539 v3 · 2021-04-06 · 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{35VQEPTJJGR2PBBZJSK2CKQOVI}

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	2026-07-05T05:46:10.441332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df6b023e6949a3a784394c95a12a0eaa0ffbc85d7bb953c7e9a9fea332bf855a

Aliases

arxiv: 2104.02539 · arxiv_version: 2104.02539v3 · doi: 10.48550/arxiv.2104.02539 · pith_short_12: 35VQEPTJJGR2 · pith_short_16: 35VQEPTJJGR2PBBZ · pith_short_8: 35VQEPTJ

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/35VQEPTJJGR2PBBZJSK2CKQOVI \
  | 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: df6b023e6949a3a784394c95a12a0eaa0ffbc85d7bb953c7e9a9fea332bf855a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27510f2faa5b9326128e4adfb831af8683429181bbc2c55eb934f989658eb69",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-04-06T14:29:33Z",
    "title_canon_sha256": "e1cd118cd62c9032f392ece67da01b754f0772707acb02c69669ca466e3420c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02539",
    "kind": "arxiv",
    "version": 3
  }
}