Pith Number

pith:6VHS2VS3

pith:2018:6VHS2VS3IARTML2RYJIQPIOH35

not attested not anchored not stored refs pending

$3$-tuple total domination number of rook's graphs

Behnaz Pahlavsay, Elisa Palezzato, Michele Torielli

arxiv:1807.08104 v1 · 2018-07-21 · 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{6VHS2VS3IARTML2RYJIQPIOH35}

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	2026-05-18T00:10:09.298157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54f2d565b4023362f51c25107a1c7df68a6835e4b79c338f209d359274c17fa

Aliases

arxiv: 1807.08104 · arxiv_version: 1807.08104v1 · doi: 10.48550/arxiv.1807.08104 · pith_short_12: 6VHS2VS3IART · pith_short_16: 6VHS2VS3IARTML2R · pith_short_8: 6VHS2VS3

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/6VHS2VS3IARTML2RYJIQPIOH35 \
  | 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: f54f2d565b4023362f51c25107a1c7df68a6835e4b79c338f209d359274c17fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcbbc6c497d4d959fb2862d2a96816e546ddc7e704aae0d076ed8f5471ff4c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-21T07:59:37Z",
    "title_canon_sha256": "aa6a73b3b16313aa96f1adb835562a1a7bf95bbe2810ecbc6ce9b7ce05c19573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08104",
    "kind": "arxiv",
    "version": 1
  }
}