Pith Number

pith:YN4BUUKK

pith:2010:YN4BUUKKBS2GPUFZYJ6IZOPA7W

not attested not anchored not stored refs pending

On saturated fusion systems and Brauer indecomposability of Scott modules

Naofumi Mitsuhashi, Naoko Kunugi, Radha Kessar

arxiv:1009.2391 v1 · 2010-09-13 · math.RT · math.AT · 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{YN4BUUKKBS2GPUFZYJ6IZOPA7W}

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	2026-05-18T04:41:04.280565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3781a514a0cb467d0b9c27c8cb9e0fda8a14341e770fc328a0f81967e85a16f

Aliases

arxiv: 1009.2391 · arxiv_version: 1009.2391v1 · doi: 10.48550/arxiv.1009.2391 · pith_short_12: YN4BUUKKBS2G · pith_short_16: YN4BUUKKBS2GPUFZ · pith_short_8: YN4BUUKK

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/YN4BUUKKBS2GPUFZYJ6IZOPA7W \
  | 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: c3781a514a0cb467d0b9c27c8cb9e0fda8a14341e770fc328a0f81967e85a16f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "953a54b3fe033852d53d881b3624797a7206f76a012268f9efb3648d6e08533f",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-13T13:47:08Z",
    "title_canon_sha256": "373841f071ba4645bd0273dfe2366b2b96a4589a65c9bc76c7e41c2ac2841a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2391",
    "kind": "arxiv",
    "version": 1
  }
}