Pith Number

pith:CMTOYIBO

pith:2026:CMTOYIBOM3T3RPU2IRLGZCGYFM

not attested not anchored not stored refs pending

On the Relationships between Domination, Isolation, and Packing

Geoffrey Boyer, Michael A. Henning, Wayne Goddard

arxiv:2606.18172 v1 · 2026-06-16 · 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{CMTOYIBOM3T3RPU2IRLGZCGYFM}

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	2026-06-19T16:10:50.225665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1326ec202e66e7b8be9a44566c88d82b28c401cdaaf9605eee8a76f20a3c6071

Aliases

arxiv: 2606.18172 · arxiv_version: 2606.18172v1 · doi: 10.48550/arxiv.2606.18172 · pith_short_12: CMTOYIBOM3T3 · pith_short_16: CMTOYIBOM3T3RPU2 · pith_short_8: CMTOYIBO

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/CMTOYIBOM3T3RPU2IRLGZCGYFM \
  | 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: 1326ec202e66e7b8be9a44566c88d82b28c401cdaaf9605eee8a76f20a3c6071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4be54231a016c827985f09dc348b8aa28f5eea02e6b5e2ae83f3fe23b1bbdf0d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T17:07:21Z",
    "title_canon_sha256": "c43e23a7d9426d2a67f08f7df6a9831c529bdb46de61bf3374f7a4bf83013251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18172",
    "kind": "arxiv",
    "version": 1
  }
}