Pith Number

pith:YWNBUY7L

pith:2025:YWNBUY7LE7ZYG6LBKNEFVZWPOR

not attested not anchored not stored refs pending

On Terwilliger $\mathbb{F}$-algebras of direct products of group divisible association schemes

Yu Jiang

arxiv:2503.02837 v2 · 2025-03-04 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWNBUY7LE7ZYG6LBKNEFVZWPOR}

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	2026-07-05T11:49:51.498213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c59a1a63eb27f383796153485ae6cf746d5d8df644761782c5d7e5d45f4856cf

Aliases

arxiv: 2503.02837 · arxiv_version: 2503.02837v2 · doi: 10.48550/arxiv.2503.02837 · pith_short_12: YWNBUY7LE7ZY · pith_short_16: YWNBUY7LE7ZYG6LB · pith_short_8: YWNBUY7L

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/YWNBUY7LE7ZYG6LBKNEFVZWPOR \
  | 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: c59a1a63eb27f383796153485ae6cf746d5d8df644761782c5d7e5d45f4856cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d019473f8537df38bc8c1fa0fa7699dbddaa70039e88632fa3c4f69fd8d30d1d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-04T18:01:07Z",
    "title_canon_sha256": "95bddd128d403ca8bf1a16cf538b2da10c8a960d81e2a928d76b3df48445b10e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.02837",
    "kind": "arxiv",
    "version": 2
  }
}