Pith Number

pith:2IXJSJ3G

pith:2025:2IXJSJ3GXQZJYOLV7JJTDFDRZC

not attested not anchored not stored refs pending

The Saxl hypergraph of a permutation group

Anthony Pisani, Melissa Lee

arxiv:2505.13849 v1 · 2025-05-20 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IXJSJ3GXQZJYOLV7JJTDFDRZC}

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	2026-07-05T11:05:51.981277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22e992766bc329c3975fa53319471c8851c3fc4a47282b771a754dd1e5fc106

Aliases

arxiv: 2505.13849 · arxiv_version: 2505.13849v1 · doi: 10.48550/arxiv.2505.13849 · pith_short_12: 2IXJSJ3GXQZJ · pith_short_16: 2IXJSJ3GXQZJYOLV · pith_short_8: 2IXJSJ3G

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/2IXJSJ3GXQZJYOLV7JJTDFDRZC \
  | 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: d22e992766bc329c3975fa53319471c8851c3fc4a47282b771a754dd1e5fc106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f1e3b9c91bda08dde7357d880ddb96ce32aceac04df1e53e54ab58c64480cf4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-20T02:48:24Z",
    "title_canon_sha256": "3a5f20982f8eb1422094ae0b7238fa3b7372c1ca344317f3fbf5a31b718d11c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13849",
    "kind": "arxiv",
    "version": 1
  }
}