Pith Number

pith:LS535TOI

pith:2021:LS535TOIOIB3EQGKBXTMYBLF3S

not attested not anchored not stored refs pending

Perfect codes in vertex-transitive graphs

Junyang Zhang, Yuting Wang

arxiv:2112.06236 v1 · 2021-12-12 · 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{LS535TOIOIB3EQGKBXTMYBLF3S}

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	2026-07-05T03:40:11.818152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cbbbecdc87203b240ca0de6cc0565dcbb46b3cdb4ef00732e71e210f8eaa9e8

Aliases

arxiv: 2112.06236 · arxiv_version: 2112.06236v1 · doi: 10.48550/arxiv.2112.06236 · pith_short_12: LS535TOIOIB3 · pith_short_16: LS535TOIOIB3EQGK · pith_short_8: LS535TOI

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/LS535TOIOIB3EQGKBXTMYBLF3S \
  | 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: 5cbbbecdc87203b240ca0de6cc0565dcbb46b3cdb4ef00732e71e210f8eaa9e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9e708e1aefe1f4c2d49ea8c0ee805d062822eb612f362e2b081d96fbef66cd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-12T13:41:26Z",
    "title_canon_sha256": "8cfb52cddead22181057e0cffe72f2172773d8aab16a1573aabe4a2f6c40d95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06236",
    "kind": "arxiv",
    "version": 1
  }
}