Pith Number

pith:7FYKUG62

pith:2019:7FYKUG62R32KP2ZMAXC4D54P6J

not attested not anchored not stored refs pending

On the equality of domination number and $ 2 $-domination number

Csilla Bujt\'as, G\"ulnaz Boruzanl{\i} Ekinci

arxiv:1907.07866 v2 · 2019-07-18 · 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{7FYKUG62R32KP2ZMAXC4D54P6J}

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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.

Cited by

1 paper in Pith

Perfect graphs for domination games

Receipt and verification

First computed	2026-07-05T02:04:03.579797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f970aa1bda8ef4a7eb2c05c5c1f78ff26131c69172eb13edf2e66cffa50bd789

Aliases

arxiv: 1907.07866 · arxiv_version: 1907.07866v2 · doi: 10.48550/arxiv.1907.07866 · pith_short_12: 7FYKUG62R32K · pith_short_16: 7FYKUG62R32KP2ZM · pith_short_8: 7FYKUG62

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/7FYKUG62R32KP2ZMAXC4D54P6J \
  | 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: f970aa1bda8ef4a7eb2c05c5c1f78ff26131c69172eb13edf2e66cffa50bd789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eef079bee3cff165bb1f1a895739b5b01672ef374eda88cb961469acb45c31b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-18T03:59:36Z",
    "title_canon_sha256": "e9dfc39357f94d2cefac72aa1975349209e906d910bebec5cc141ab7a5ebddbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07866",
    "kind": "arxiv",
    "version": 2
  }
}