Pith Number

pith:5PGHRBGU

pith:2026:5PGHRBGU2IABUMTT7J4RVC34AK

not attested not anchored not stored refs pending

A sporadic strongly regular graph with parameters $(120,56,28,24)$ from a primitive action of the symmetric group on $7$ elements

Jan De Beule, Morgan Rodgers, Robert F. Bailey, Sam Adriaensen

arxiv:2606.10652 v1 · 2026-06-09 · 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{5PGHRBGU2IABUMTT7J4RVC34AK}

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	2026-06-10T01:10:32.435515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebcc7884d4d2001a3273fa791a8b7c0297839d87292ae9b3e6573dfc2346e14b

Aliases

arxiv: 2606.10652 · arxiv_version: 2606.10652v1 · doi: 10.48550/arxiv.2606.10652 · pith_short_12: 5PGHRBGU2IAB · pith_short_16: 5PGHRBGU2IABUMTT · pith_short_8: 5PGHRBGU

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/5PGHRBGU2IABUMTT7J4RVC34AK \
  | 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: ebcc7884d4d2001a3273fa791a8b7c0297839d87292ae9b3e6573dfc2346e14b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d9c43285ef842118e9be62d7f634035c4ac51a881cf471254e21c8ed9ff29a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T09:58:24Z",
    "title_canon_sha256": "33cce185d1c060859efbf742bb23f48988078e9b42c1c3d8ca8bff153d306519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10652",
    "kind": "arxiv",
    "version": 1
  }
}