Pith Number

pith:RFLIQJPB

pith:2024:RFLIQJPBOKMWGP46PBWHC2UK5G

not attested not anchored not stored refs pending

Laplacian Spectrum of Super Graphs defined on Certain Non-abelian Groups

Ekta, Jitender Kumar, Parveen, Varun J Kaushik

arxiv:2411.16734 v1 · 2024-11-23 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFLIQJPBOKMWGP46PBWHC2UK5G}

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	2026-07-05T09:40:22.558639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89568825e17299633f9e786c716a8ae9a3a8db4f8b9b76d0b54392ea0ead58d0

Aliases

arxiv: 2411.16734 · arxiv_version: 2411.16734v1 · doi: 10.48550/arxiv.2411.16734 · pith_short_12: RFLIQJPBOKMW · pith_short_16: RFLIQJPBOKMWGP46 · pith_short_8: RFLIQJPB

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/RFLIQJPBOKMWGP46PBWHC2UK5G \
  | 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: 89568825e17299633f9e786c716a8ae9a3a8db4f8b9b76d0b54392ea0ead58d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a451ae4f06d9cffb6dc3b814394162e7b86450dd480791697bf7a692f8ac14b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-23T10:42:40Z",
    "title_canon_sha256": "2c644f29656b21808b4d3cd47d486d205348ecf3185ee2cba21b4f7d86a66be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16734",
    "kind": "arxiv",
    "version": 1
  }
}