Pith Number

pith:PABB7GWG

pith:2010:PABB7GWGO4CGP5FPSRVV4HSIBX

not attested not anchored not stored refs pending

Saturated fusion systems with parabolic families

Silvia Onofrei

arxiv:1008.3815 v2 · 2010-08-23 · 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{PABB7GWGO4CGP5FPSRVV4HSIBX}

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	2026-05-18T04:11:39.712984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78021f9ac6770467f4af946b5e1e480dd055a848168554129b971cafadbceb40

Aliases

arxiv: 1008.3815 · arxiv_version: 1008.3815v2 · doi: 10.48550/arxiv.1008.3815 · pith_short_12: PABB7GWGO4CG · pith_short_16: PABB7GWGO4CGP5FP · pith_short_8: PABB7GWG

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/PABB7GWGO4CGP5FPSRVV4HSIBX \
  | 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: 78021f9ac6770467f4af946b5e1e480dd055a848168554129b971cafadbceb40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6330efa89df0cfe4e361f4c9bb3d538be9063b907888a3a5596b84d092ef6ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-23T13:07:18Z",
    "title_canon_sha256": "3a15cb93d3682c962a59c7d0fb2f58440544cd7e4b28c247a18a0c145e5d5c36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3815",
    "kind": "arxiv",
    "version": 2
  }
}