Pith Number

pith:YD4IJH6K

pith:2011:YD4IJH6KHHVF3TUOMGSON2LF4Y

not attested not anchored not stored refs pending

Relations between Metric Dimension and Domination Number of Graphs

Behnaz Omoomi, Behrooz Bagheri Gh., Mohsen Jannesari

arxiv:1112.2326 v1 · 2011-12-11 · 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{YD4IJH6KHHVF3TUOMGSON2LF4Y}

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	2026-05-18T04:06:34.802961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f8849fca39ea5dce8e61a4e6e965e6312a901416bf6d61527a90cc6dcace21

Aliases

arxiv: 1112.2326 · arxiv_version: 1112.2326v1 · doi: 10.48550/arxiv.1112.2326 · pith_short_12: YD4IJH6KHHVF · pith_short_16: YD4IJH6KHHVF3TUO · pith_short_8: YD4IJH6K

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/YD4IJH6KHHVF3TUOMGSON2LF4Y \
  | 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: c0f8849fca39ea5dce8e61a4e6e965e6312a901416bf6d61527a90cc6dcace21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dfffebddc838d12482ae2fd28b834c894acc6c8a312f5b513c5ad07beec6e9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-11T07:12:44Z",
    "title_canon_sha256": "3ffec780d3588a6f947b7ebdee50bfd1a2270b091d6214afc36cf5ddc54dcefa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2326",
    "kind": "arxiv",
    "version": 1
  }
}