Pith Number

pith:IDX2RSKB

pith:2026:IDX2RSKB2KFXKX3AGWSNOASCWO

not attested not anchored not stored refs pending

Signed Total Roman Domination and Domatic Numbers: Degree Three and Complete Multipartite Graphs

Arie M. C. A. Koster, Lutz Volkmann, Moritz Wehrmann

arxiv:2606.27175 v1 · 2026-06-25 · 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{IDX2RSKB2KFXKX3AGWSNOASCWO}

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	2026-06-26T01:16:12.591810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40efa8c941d28b755f6035a4d70242b3ab225259a671f11ac63e6e957da42ec3

Aliases

arxiv: 2606.27175 · arxiv_version: 2606.27175v1 · doi: 10.48550/arxiv.2606.27175 · pith_short_12: IDX2RSKB2KFX · pith_short_16: IDX2RSKB2KFXKX3A · pith_short_8: IDX2RSKB

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/IDX2RSKB2KFXKX3AGWSNOASCWO \
  | 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: 40efa8c941d28b755f6035a4d70242b3ab225259a671f11ac63e6e957da42ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e5ca93ec02e4dd8cc80a5960b9a5a47d64feb40f2a9770bc2fbefdefafc1e02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-25T15:41:54Z",
    "title_canon_sha256": "b1699ef31a5e6c3645fb147505ece4ab65efe31a19f6fa9909e342464d344e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27175",
    "kind": "arxiv",
    "version": 1
  }
}