Pith Number

pith:LADEEI5S

pith:2019:LADEEI5SI3XX6TVL62VYLGFVBB

not attested not anchored not stored refs pending

Laplacian eigenvalues of the zero divisor graph of the ring $\mathbb{Z}_{n}$

Binod Kumar Sahoo, Kamal Lochan Patra, Sriparna Chattopadhyay

arxiv:1903.07841 v1 · 2019-03-19 · math.SP · 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{LADEEI5SI3XX6TVL62VYLGFVBB}

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	2026-05-17T23:50:53.728010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58064223b246ef7f4eabf6ab8598b5084f483e0c56d0e233cbabe83c037e8004

Aliases

arxiv: 1903.07841 · arxiv_version: 1903.07841v1 · doi: 10.48550/arxiv.1903.07841 · pith_short_12: LADEEI5SI3XX · pith_short_16: LADEEI5SI3XX6TVL · pith_short_8: LADEEI5S

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/LADEEI5SI3XX6TVL62VYLGFVBB \
  | 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: 58064223b246ef7f4eabf6ab8598b5084f483e0c56d0e233cbabe83c037e8004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb23acbd8af67fb24c97e3df03f0eb39972d4bb3dd3ed76ba3934dc733e6c19",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-03-19T05:19:10Z",
    "title_canon_sha256": "676cc6be5147add7e413820031ddabe29a12836a4b565bb2a0b8c885704568e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07841",
    "kind": "arxiv",
    "version": 1
  }
}