Pith Number

pith:SJ6LSVU6

pith:2020:SJ6LSVU6KJLS2YQGRVCG47IUKA

not attested not anchored not stored refs pending

Perfect codes in Cayley sum graphs

Kaishun Wang, Xuanlong Ma, Yuefeng Yang

arxiv:2007.08163 v2 · 2020-07-16 · 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{SJ6LSVU6KJLS2YQGRVCG47IUKA}

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	2026-07-05T01:26:53.038024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

927cb9569e52572d62068d446e7d1450149b7af3888bd3a30b672b3039196407

Aliases

arxiv: 2007.08163 · arxiv_version: 2007.08163v2 · doi: 10.48550/arxiv.2007.08163 · pith_short_12: SJ6LSVU6KJLS · pith_short_16: SJ6LSVU6KJLS2YQG · pith_short_8: SJ6LSVU6

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/SJ6LSVU6KJLS2YQGRVCG47IUKA \
  | 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: 927cb9569e52572d62068d446e7d1450149b7af3888bd3a30b672b3039196407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9962a1fe67d18a6e87abf8be54692001d94e4f26e6c1aff2e87dc33ce24f1936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-16T07:53:46Z",
    "title_canon_sha256": "1638a5870d4ead6f7a785157e03271e9d822a362fea30fea2ea8f9bc63b7bdf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08163",
    "kind": "arxiv",
    "version": 2
  }
}