Pith Number

pith:77OB7HK6

pith:2011:77OB7HK6YVMVPDKVSJ7LN5GUST

not attested not anchored not stored refs pending

A Note on Total and Paired Domination of Cartesian Product Graphs

I.V. Hicks, K. Choudhary, S. Margulies

arxiv:1109.2174 v1 · 2011-09-09 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77OB7HK6YVMVPDKVSJ7LN5GUST}

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	2026-05-18T04:13:38.360994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffdc1f9d5ec559578d55927eb6f4d494ef33bf58a33859b9d1157ededec62af4

Aliases

arxiv: 1109.2174 · arxiv_version: 1109.2174v1 · doi: 10.48550/arxiv.1109.2174 · pith_short_12: 77OB7HK6YVMV · pith_short_16: 77OB7HK6YVMVPDKV · pith_short_8: 77OB7HK6

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/77OB7HK6YVMVPDKVSJ7LN5GUST \
  | 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: ffdc1f9d5ec559578d55927eb6f4d494ef33bf58a33859b9d1157ededec62af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a98b101a7f77c3f5a0785db9aaf6d98f75146e2eaeb1d1e81d606f3e6539772",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-09T23:28:34Z",
    "title_canon_sha256": "c7364d4f828397706d8587dc3d16979d02f846392f7bdca1094b44bb30ccd36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2174",
    "kind": "arxiv",
    "version": 1
  }
}