Pith Number

pith:DHZ343EY

pith:2012:DHZ343EY7MVU7VVPEN7BNQ7AEV

not attested not anchored not stored refs pending

On the diameter of the Kronecker product graph

Fu-Tao Hu, Jun-Ming Xu

arxiv:1204.4014 v1 · 2012-04-18 · 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{DHZ343EY7MVU7VVPEN7BNQ7AEV}

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	2026-05-18T03:57:37.982624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f3be6c98fb2b4fd6af237e16c3e025653702c5e5de20d0a999979fb4c3ed7c

Aliases

arxiv: 1204.4014 · arxiv_version: 1204.4014v1 · doi: 10.48550/arxiv.1204.4014 · pith_short_12: DHZ343EY7MVU · pith_short_16: DHZ343EY7MVU7VVP · pith_short_8: DHZ343EY

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/DHZ343EY7MVU7VVPEN7BNQ7AEV \
  | 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: 19f3be6c98fb2b4fd6af237e16c3e025653702c5e5de20d0a999979fb4c3ed7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cb03ee5455acbaf3f798165803b474f9fd379363204594d6c6591ba17d1370a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-18T08:33:41Z",
    "title_canon_sha256": "bd49554599bd3b8be8133337888f77ba1e3e70dd520633a44596b14ddd9fa30c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4014",
    "kind": "arxiv",
    "version": 1
  }
}