Pith Number

pith:EQ2PD4N2

pith:2012:EQ2PD4N2MENG4Y3K6B66I336TW

not attested not anchored not stored refs pending

Solving the Ku-Wales conjecture on the eigenvalues of the derangement graph

Cheng Yeaw Ku, Kok Bin Wong

arxiv:1207.3878 v1 · 2012-07-17 · 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{EQ2PD4N2MENG4Y3K6B66I336TW}

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	2026-05-18T03:50:49.711799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2434f1f1ba611a6e636af07de46f7e9d8f61f01a0e144bdc5d70a5eb07b763b0

Aliases

arxiv: 1207.3878 · arxiv_version: 1207.3878v1 · doi: 10.48550/arxiv.1207.3878 · pith_short_12: EQ2PD4N2MENG · pith_short_16: EQ2PD4N2MENG4Y3K · pith_short_8: EQ2PD4N2

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/EQ2PD4N2MENG4Y3K6B66I336TW \
  | 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: 2434f1f1ba611a6e636af07de46f7e9d8f61f01a0e144bdc5d70a5eb07b763b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5657f9772baa1378339c319a47aa754d1924196e514c1e7d55fcedd782e28be8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-17T04:58:24Z",
    "title_canon_sha256": "798f869a40f28f54ccb22edf00a7144aac2877e7966c7fdd4838a55bddd8693c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3878",
    "kind": "arxiv",
    "version": 1
  }
}