Pith Number

pith:TXNRI5FH

pith:2015:TXNRI5FHZCC5RPFCK2ZJDUIRPI

not attested not anchored not stored refs pending

The largest $H$-eigenvalue and spectral radius of Laplacian tensor of non-odd-bipartite generalized power hypergraphs

Murad-ul-Islam Khan, Ying-Ying Tan, Yi-Zheng Fan

arxiv:1510.02178 v1 · 2015-10-08 · 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{TXNRI5FHZCC5RPFCK2ZJDUIRPI}

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	2026-05-18T00:35:55.815950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ddb1474a7c885d8bca256b291d1117a23ef5de5edaefbd2e3fcb78e106a049a

Aliases

arxiv: 1510.02178 · arxiv_version: 1510.02178v1 · doi: 10.48550/arxiv.1510.02178 · pith_short_12: TXNRI5FHZCC5 · pith_short_16: TXNRI5FHZCC5RPFC · pith_short_8: TXNRI5FH

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/TXNRI5FHZCC5RPFCK2ZJDUIRPI \
  | 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: 9ddb1474a7c885d8bca256b291d1117a23ef5de5edaefbd2e3fcb78e106a049a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3c2e8bea752d934b36f11f43489dcd3fdcd856bd2c6ae8a5f4b354e9c21511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-08T01:24:40Z",
    "title_canon_sha256": "3c346e6acdc00f7eb3acc67e0f2cc88ce51ea3d9dc99fc04d45c6528571a170f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02178",
    "kind": "arxiv",
    "version": 1
  }
}