Pith Number

pith:TWR6GIFU

pith:2022:TWR6GIFU7N5EV6QE64J3LEAZ64

not attested not anchored not stored refs pending

Graphs which satisfy a Vizing-like bound for power domination of Cartesian products

Houston Schuerger, Kirsti Kuenzel, Sarah E. Anderson

arxiv:2209.03930 v1 · 2022-09-08 · 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{TWR6GIFU7N5EV6QE64J3LEAZ64}

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	2026-07-05T04:55:47.091255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9da3e320b4fb7a4afa04f713b59019f70607ce0ca7b68275aad236583d2b9114

Aliases

arxiv: 2209.03930 · arxiv_version: 2209.03930v1 · doi: 10.48550/arxiv.2209.03930 · pith_short_12: TWR6GIFU7N5E · pith_short_16: TWR6GIFU7N5EV6QE · pith_short_8: TWR6GIFU

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/TWR6GIFU7N5EV6QE64J3LEAZ64 \
  | 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: 9da3e320b4fb7a4afa04f713b59019f70607ce0ca7b68275aad236583d2b9114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ebae303068452953c95245144bc0a8dbc062e38c22a1f841b01bc09fd7e4cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-08T17:14:12Z",
    "title_canon_sha256": "47f122f574844aa86cde9c9378a7d674bae14021f3fed8964c0a61a0f59401c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.03930",
    "kind": "arxiv",
    "version": 1
  }
}