Pith Number

pith:L5C2VTZH

pith:2014:L5C2VTZHL6WG3QCBJKDXHNVZPV

not attested not anchored not stored refs pending

A Family of fusion systems related to the groups $\mathrm{Sp}_4(p^a)$ and $\mathrm{G}_2(p^a)$

Christopher Parker, Gernot Stroth

arxiv:1409.5102 v1 · 2014-09-17 · 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{L5C2VTZHL6WG3QCBJKDXHNVZPV}

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	2026-05-18T02:42:37.832504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f45aacf275fac6dc0414a8773b6b97d5825c48bf3e7f32535eee61136c1fa35

Aliases

arxiv: 1409.5102 · arxiv_version: 1409.5102v1 · doi: 10.48550/arxiv.1409.5102 · pith_short_12: L5C2VTZHL6WG · pith_short_16: L5C2VTZHL6WG3QCB · pith_short_8: L5C2VTZH

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/L5C2VTZHL6WG3QCBJKDXHNVZPV \
  | 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: 5f45aacf275fac6dc0414a8773b6b97d5825c48bf3e7f32535eee61136c1fa35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad64547af5fa7c3dd54dbbf94b8df6daa65df084ca848d292a8379d7946f22db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-17T19:02:12Z",
    "title_canon_sha256": "881a63555bd34403a9a1260684a1a96fb688b40c563d1ff74c4af5207b1bda4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5102",
    "kind": "arxiv",
    "version": 1
  }
}