Pith Number

pith:A4WE6VKS

pith:2013:A4WE6VKS2NU6CO4GOTCDG3H244

not attested not anchored not stored refs pending

The Eigenvectors of the Zero Laplacian and Signless Laplacian Eigenvalues of a Uniform Hypergraph

Liqun Qi, Shenglong Hu

arxiv:1303.4048 v3 · 2013-03-17 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4WE6VKS2NU6CO4GOTCDG3H244}

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	2026-05-18T02:25:05.058401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072c4f5552d369e13b8674c4336cfae72e548b2818b832a15bf08fa169b0a307

Aliases

arxiv: 1303.4048 · arxiv_version: 1303.4048v3 · doi: 10.48550/arxiv.1303.4048 · pith_short_12: A4WE6VKS2NU6 · pith_short_16: A4WE6VKS2NU6CO4G · pith_short_8: A4WE6VKS

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/A4WE6VKS2NU6CO4GOTCDG3H244 \
  | 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: 072c4f5552d369e13b8674c4336cfae72e548b2818b832a15bf08fa169b0a307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c4a3bc0eb5436713f13a0daf5fc236e2dd81b338a77c2ecf15901009a7e8b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-03-17T09:55:07Z",
    "title_canon_sha256": "1ebb7d962ee26a5945ff4383492d50974b7306eff3fdaf2340ddb7329fc226a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4048",
    "kind": "arxiv",
    "version": 3
  }
}