Pith Number

pith:3ABCVIZB

pith:2019:3ABCVIZBV4RZVE7K7KRQRVTHFT

not attested not anchored not stored refs pending

On graphs with equal total domination and Grundy total domination number

Marko Jakovac, Tanja Gologranc, Tilen Marc, Tim Kos

arxiv:1906.12235 v1 · 2019-06-28 · 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{3ABCVIZBV4RZVE7K7KRQRVTHFT}

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	2026-05-17T23:41:58.915803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8022aa321af239a93eafaa308d6672cc3301addf9485e12a18ec4aa26889e1b

Aliases

arxiv: 1906.12235 · arxiv_version: 1906.12235v1 · doi: 10.48550/arxiv.1906.12235 · pith_short_12: 3ABCVIZBV4RZ · pith_short_16: 3ABCVIZBV4RZVE7K · pith_short_8: 3ABCVIZB

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/3ABCVIZBV4RZVE7K7KRQRVTHFT \
  | 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: d8022aa321af239a93eafaa308d6672cc3301addf9485e12a18ec4aa26889e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f84682731ef1cbecad442c889c0520762c9a1f3c89c34d61d98648a42e8c0964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-28T14:18:06Z",
    "title_canon_sha256": "2d017d673513065fc1b3110493f10c89f8a816bd958751f916117d5aa3c0e547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12235",
    "kind": "arxiv",
    "version": 1
  }
}