Pith Number

pith:VMOMOVL4

pith:2017:VMOMOVL4R4AOMHAKOLKAX66IRT

not attested not anchored not stored refs pending

On Grundy total domination number in product graphs

Bal\'azs Patk\'os, Bo\v{s}tjan Bre\v{s}ar, Csilla Bujt\'as, Ga\v{s}per Ko\v{s}mrlj, M\'at\'e Vizer, Sandi Klav\v{z}ar, Tanja Gologranc, Tilen Marc, Zsolt Tuza

arxiv:1712.08780 v1 · 2017-12-23 · 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{VMOMOVL4R4AOMHAKOLKAX66IRT}

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	2026-05-18T00:27:16.836692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1cc7557c8f00e61c0a72d40bfbc88cdb974779a8ffd3ac866f9950ec51534f

Aliases

arxiv: 1712.08780 · arxiv_version: 1712.08780v1 · doi: 10.48550/arxiv.1712.08780 · pith_short_12: VMOMOVL4R4AO · pith_short_16: VMOMOVL4R4AOMHAK · pith_short_8: VMOMOVL4

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/VMOMOVL4R4AOMHAKOLKAX66IRT \
  | 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: ab1cc7557c8f00e61c0a72d40bfbc88cdb974779a8ffd3ac866f9950ec51534f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffd7207dfa3f36bc54068668dc4d125ee617b7bd19d0927ac0a9098e32e4a3e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-23T14:42:14Z",
    "title_canon_sha256": "177a6770bd8380876f0c3d542ecb8449f07d926e09c6a013d4d13299d6d4ab18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08780",
    "kind": "arxiv",
    "version": 1
  }
}