Pith. sign in
Pith Number

pith:YPBT2POQ

pith:2019:YPBT2POQQCXDZ2IZPUQPK4A2QQ
not attested not anchored not stored refs pending

Impact of Some Graph Operations on Double Roman Domination Number

Anu V., Aparna Lakshmanan S.

arxiv:1908.06859 v1 · 2019-08-19 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YPBT2POQQCXDZ2IZPUQPK4A2QQ}

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 2026-07-04T23:58:20.204493Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c3c33d3dd080ae3ce9197d20f5701a8410d142bc7ed41b44d7fca535d31c7854

Aliases

arxiv: 1908.06859 · arxiv_version: 1908.06859v1 · doi: 10.48550/arxiv.1908.06859 · pith_short_12: YPBT2POQQCXD · pith_short_16: YPBT2POQQCXDZ2IZ · pith_short_8: YPBT2POQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YPBT2POQQCXDZ2IZPUQPK4A2QQ \
  | 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: c3c33d3dd080ae3ce9197d20f5701a8410d142bc7ed41b44d7fca535d31c7854
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "718c3403a30fcefc4b97b28b1a044449df78c65ed96d1bf5a4cfa26c316cefa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-19T14:58:38Z",
    "title_canon_sha256": "4e6e0b1576225876fa6a9299a4ed32dd4f944b7e4deec4c4e8e9d49f2b1badd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06859",
    "kind": "arxiv",
    "version": 1
  }
}