Pith Number

pith:MW5TIZY6

pith:2015:MW5TIZY6N2OBYCGO3ODGKITGBS

not attested not anchored not stored refs pending

On the Strong Roman Domination Number of Graphs

I. Gonzalez Yero, J. C. Valenzuela, M. P. Alvarez-Ruiz, S. M. Sheikholeslami, T. Mediavilla-Gradolph

arxiv:1502.03933 v2 · 2015-02-13 · 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{MW5TIZY6N2OBYCGO3ODGKITGBS}

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	2026-05-18T01:36:01.543806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65bb34671e6e9c1c08cedb866522660ca10422b33a983cba1537d49591cd859f

Aliases

arxiv: 1502.03933 · arxiv_version: 1502.03933v2 · doi: 10.48550/arxiv.1502.03933 · pith_short_12: MW5TIZY6N2OB · pith_short_16: MW5TIZY6N2OBYCGO · pith_short_8: MW5TIZY6

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/MW5TIZY6N2OBYCGO3ODGKITGBS \
  | 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: 65bb34671e6e9c1c08cedb866522660ca10422b33a983cba1537d49591cd859f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cadec2284f5316b9aa8f961904b67340646cb2ba3d444b49d503102770d4eb46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-13T10:14:29Z",
    "title_canon_sha256": "6dc3fcbb6ef21b402e12bbfe32777ce339b25632550a706fc43ded780358d9b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03933",
    "kind": "arxiv",
    "version": 2
  }
}