Pith Number

pith:VH5LMBFL

pith:2019:VH5LMBFLV65JWHQT3G62O2QCB4

not attested not anchored not stored refs pending

On the total and strong version for Roman dominating functions in graphs

I.G. Yero, M. Soroudi, S.M. Sheikholeslami, S. Nazari-Moghaddam

arxiv:1912.01093 v1 · 2019-12-02 · 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{VH5LMBFLV65JWHQT3G62O2QCB4}

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	2026-07-05T00:23:26.835859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9fab604abafba9b1e13d9bda76a020f14068eb798484d59d43ba495b3762c6e

Aliases

arxiv: 1912.01093 · arxiv_version: 1912.01093v1 · doi: 10.48550/arxiv.1912.01093 · pith_short_12: VH5LMBFLV65J · pith_short_16: VH5LMBFLV65JWHQT · pith_short_8: VH5LMBFL

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/VH5LMBFLV65JWHQT3G62O2QCB4 \
  | 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: a9fab604abafba9b1e13d9bda76a020f14068eb798484d59d43ba495b3762c6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ed3ccc4852ea1257f3b8fb42395c64c40f385d8df1e9a868ef25ff3db71572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-02T21:55:35Z",
    "title_canon_sha256": "4a9d68c75b40f1967175a101ad26856919dedf767e34fb1de314652a70ca20ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.01093",
    "kind": "arxiv",
    "version": 1
  }
}