Pith Number

pith:V4OKPPFW

pith:2018:V4OKPPFWI32HVQXKE4NOTSEW4V

not attested not anchored not stored refs pending

Perfect Domination in Knights Graphs

Renu Laskar, Soumendra Ganguly, Todd Fenstermacher

arxiv:1805.03335 v1 · 2018-05-09 · 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{V4OKPPFWI32HVQXKE4NOTSEW4V}

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	2026-05-18T00:16:20.465821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1ca7bcb646f47ac2ea271ae9c896e54e4443f4914f73ed46c940bd0d99bcfb

Aliases

arxiv: 1805.03335 · arxiv_version: 1805.03335v1 · doi: 10.48550/arxiv.1805.03335 · pith_short_12: V4OKPPFWI32H · pith_short_16: V4OKPPFWI32HVQXK · pith_short_8: V4OKPPFW

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/V4OKPPFWI32HVQXKE4NOTSEW4V \
  | 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: af1ca7bcb646f47ac2ea271ae9c896e54e4443f4914f73ed46c940bd0d99bcfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b093de00589f2c4a35d49879f31b9df792bca6402c937be29590778fe85aaa25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-09T00:58:46Z",
    "title_canon_sha256": "30b3173579113f95a7447f0414eccbcc8c451998ec2898ff5068ca13f801d136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03335",
    "kind": "arxiv",
    "version": 1
  }
}