Pith Number

pith:73QEOD3N

pith:2007:73QEOD3N5DDQYPMF7BILSBQ55K

not attested not anchored not stored refs pending

Perfect domination in regular grid graphs

Italo J. Dejter

arxiv:0711.4343 v4 · 2007-11-27 · 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{73QEOD3N5DDQYPMF7BILSBQ55K}

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	2026-05-18T02:24:57.753744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee0470f6de8c70c3d85f850b9061deaab7c3ff964efc7121f42934fab7a29e5

Aliases

arxiv: 0711.4343 · arxiv_version: 0711.4343v4 · doi: 10.48550/arxiv.0711.4343 · pith_short_12: 73QEOD3N5DDQ · pith_short_16: 73QEOD3N5DDQYPMF · pith_short_8: 73QEOD3N

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/73QEOD3N5DDQYPMF7BILSBQ55K \
  | 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: fee0470f6de8c70c3d85f850b9061deaab7c3ff964efc7121f42934fab7a29e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08652c77df9bc859f6b053d52ad4ad665d66151b44f0fb00e3571d90f6ee47ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-11-27T20:40:28Z",
    "title_canon_sha256": "05255466e20afaf50ef74b2a1597842fb2895b97626ec2df3ea5cfe47cb13699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4343",
    "kind": "arxiv",
    "version": 4
  }
}