Pith Number

pith:ZIDIZZGD

pith:2009:ZIDIZZGDYOGWYQAJDKQYRTA5OF

not attested not anchored not stored refs pending

Saturated fusion systems as idempotents in the double Burnside ring

Kari Ragnarsson, Radu Stancu

arxiv:0911.0085 v3 · 2009-10-31 · 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{ZIDIZZGDYOGWYQAJDKQYRTA5OF}

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	2026-05-18T01:22:30.926913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca068ce4c3c38d6c40091aa188cc1d714c4d89380b8702ad86a7a1159c2ca462

Aliases

arxiv: 0911.0085 · arxiv_version: 0911.0085v3 · doi: 10.48550/arxiv.0911.0085 · pith_short_12: ZIDIZZGDYOGW · pith_short_16: ZIDIZZGDYOGWYQAJ · pith_short_8: ZIDIZZGD

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/ZIDIZZGDYOGWYQAJDKQYRTA5OF \
  | 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: ca068ce4c3c38d6c40091aa188cc1d714c4d89380b8702ad86a7a1159c2ca462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5095d2468072601eaf23ef6e254b7477fea010afdae7a2e9dd0d323e1596eefa",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-10-31T14:33:33Z",
    "title_canon_sha256": "e1380fb76b145cf54a00c39169a84d461b971e5dc45a848c40e96760e7e8c338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0085",
    "kind": "arxiv",
    "version": 3
  }
}