Pith Number

pith:5HKNVWK7

pith:2025:5HKNVWK7CLSQSIRK63J2YESW5K

not attested not anchored not stored refs pending

Block-transitive t-(k^2,k,\lam) designs and simple exceptional groups of Lie type

Haiyan Guan, Xingyu Chen

arxiv:2508.18660 v1 · 2025-08-26 · 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{5HKNVWK7CLSQSIRK63J2YESW5K}

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	2026-07-05T11:59:28.791034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d4dad95f12e509222af6d3ac1256eaafbf210689b989566e177def1a28f49e

Aliases

arxiv: 2508.18660 · arxiv_version: 2508.18660v1 · doi: 10.48550/arxiv.2508.18660 · pith_short_12: 5HKNVWK7CLSQ · pith_short_16: 5HKNVWK7CLSQSIRK · pith_short_8: 5HKNVWK7

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/5HKNVWK7CLSQSIRK63J2YESW5K \
  | 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: e9d4dad95f12e509222af6d3ac1256eaafbf210689b989566e177def1a28f49e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca21db54f7d1ec909a5e28204d5ee309bf58740492037401e2150d5a8dc7122d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-08-26T04:05:06Z",
    "title_canon_sha256": "125f6b3f40dafe19edced9194d3560501a9c59d163071196eb708366624227d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18660",
    "kind": "arxiv",
    "version": 1
  }
}