Pith Number

pith:5V6MZFEB

pith:2026:5V6MZFEBYN343MS2RTK7BYJ2J5

not attested not anchored not stored refs pending

Eternal domination in Cayley graphs

Gary MacGillivray, Joy Morris, MacKenzie Carr, Nancy E. Clarke

arxiv:2607.04024 v1 · 2026-07-04 · 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{5V6MZFEBYN343MS2RTK7BYJ2J5}

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	2026-07-07T02:18:53.614161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7ccc9481c377cdb25a8cd5f0e13a4f614842e6814c97663cc19ddcb3471084

Aliases

arxiv: 2607.04024 · arxiv_version: 2607.04024v1 · doi: 10.48550/arxiv.2607.04024 · pith_short_12: 5V6MZFEBYN34 · pith_short_16: 5V6MZFEBYN343MS2 · pith_short_8: 5V6MZFEB

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/5V6MZFEBYN343MS2RTK7BYJ2J5 \
  | 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: ed7ccc9481c377cdb25a8cd5f0e13a4f614842e6814c97663cc19ddcb3471084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc347019255c2f9f35acef9aeda142236dad33a20036a6482fafb9121f464357",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-04T20:42:33Z",
    "title_canon_sha256": "5ab2f4b9bf9971b7f1be95728a992df734dae1d889c1d42d87f47c94508c71e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04024",
    "kind": "arxiv",
    "version": 1
  }
}