Pith Number

pith:PW4INSVZ

pith:2010:PW4INSVZJZ2ZPO2UF2SI46OO2G

not attested not anchored not stored refs pending

Reduced, tame and exotic fusion systems

Bob Oliver, Joana Ventura, Kasper K. S. Andersen

arxiv:1009.0622 v1 · 2010-09-03 · 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{PW4INSVZJZ2ZPO2UF2SI46OO2G}

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	2026-05-18T02:58:01.841239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db886cab94e7597bb542ea48e79ced1ad8a29016a494779a856957a79d4b834

Aliases

arxiv: 1009.0622 · arxiv_version: 1009.0622v1 · doi: 10.48550/arxiv.1009.0622 · pith_short_12: PW4INSVZJZ2Z · pith_short_16: PW4INSVZJZ2ZPO2U · pith_short_8: PW4INSVZ

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/PW4INSVZJZ2ZPO2UF2SI46OO2G \
  | 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: 7db886cab94e7597bb542ea48e79ced1ad8a29016a494779a856957a79d4b834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb989f331dc418f41e4da503113bd0d73f1cf951637d578701a50f6d51f41db9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-09-03T09:52:11Z",
    "title_canon_sha256": "0a697fae52bfedb670bbd43aa1f5ab133f74dc89c0df846301c958c59a618a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0622",
    "kind": "arxiv",
    "version": 1
  }
}