Pith Number

pith:P2M7LSES

pith:2010:P2M7LSESPHGGNCBFLPCHFQDF7C

not attested not anchored not stored refs pending

On Wreath Products of One-Class Association Schemes

Bangteng Xu, Sung Y. Song

arxiv:1008.2228 v1 · 2010-08-12 · 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{P2M7LSESPHGGNCBFLPCHFQDF7C}

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	2026-05-18T04:42:14.343924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e99f5c89279cc6688255bc472c065f891a21b5cc5273d7f4a6810b0f9e51071

Aliases

arxiv: 1008.2228 · arxiv_version: 1008.2228v1 · doi: 10.48550/arxiv.1008.2228 · pith_short_12: P2M7LSESPHGG · pith_short_16: P2M7LSESPHGGNCBF · pith_short_8: P2M7LSES

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/P2M7LSESPHGGNCBFLPCHFQDF7C \
  | 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: 7e99f5c89279cc6688255bc472c065f891a21b5cc5273d7f4a6810b0f9e51071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b679bdff8e69b30706909c7f3a0e1fe349d0c1e5fc71afa5f10f3a31fe3a566f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-12T22:49:38Z",
    "title_canon_sha256": "85533de9ba8977ddda4bc64c58969c1f9a6df530f2ef75612cb97c47920e20f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2228",
    "kind": "arxiv",
    "version": 1
  }
}