Pith Number

pith:SO2UJO7L

pith:2013:SO2UJO7L2EFC3WY3D6ZIKHTMOU

not attested not anchored not stored refs pending

The Largest Laplacian and Signless Laplacian H-Eigenvalues of a Uniform Hypergraph

Jinshan Xie, Liqun Qi, Shenglong Hu

arxiv:1304.1315 v6 · 2013-04-04 · 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{SO2UJO7L2EFC3WY3D6ZIKHTMOU}

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	2026-05-18T03:25:58.226961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b544bbebd10a2ddb1b1fb2851e6c752ac1486ed974b003a25db93cffa587bc

Aliases

arxiv: 1304.1315 · arxiv_version: 1304.1315v6 · doi: 10.48550/arxiv.1304.1315 · pith_short_12: SO2UJO7L2EFC · pith_short_16: SO2UJO7L2EFC3WY3 · pith_short_8: SO2UJO7L

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/SO2UJO7L2EFC3WY3D6ZIKHTMOU \
  | 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: 93b544bbebd10a2ddb1b1fb2851e6c752ac1486ed974b003a25db93cffa587bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5105cab46c8eda12d6d9804d4eccb711b7666824c9550a1e1a813b56681052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-04-04T10:55:55Z",
    "title_canon_sha256": "53378c068a4591a5d5f096d76fe148c7959badf8688ce490d236f9bce3cc4519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1315",
    "kind": "arxiv",
    "version": 6
  }
}