Pith Number

pith:5YHUU4ZO

pith:2017:5YHUU4ZOQEKAFNAOL4ARJI63IU

not attested not anchored not stored refs pending

Grundy dominating sequences and zero forcing sets

Bal\'azs Patk\'os, Bo\v{s}tjan Bre\v{s}ar, Csilla Bujt\'as, Ga\v{s}per Ko\v{s}mrlj, M\'at\'e Vizer, Sandi Klav\v{z}ar, Tanja Gologranc, Zsolt Tuza

arxiv:1702.00828 v1 · 2017-02-02 · 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{5YHUU4ZOQEKAFNAOL4ARJI63IU}

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	2026-05-18T00:51:29.660728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee0f4a732e811402b40e5f0114a3db4509a864b7b4eaa7fe789b43121efe5b31

Aliases

arxiv: 1702.00828 · arxiv_version: 1702.00828v1 · doi: 10.48550/arxiv.1702.00828 · pith_short_12: 5YHUU4ZOQEKA · pith_short_16: 5YHUU4ZOQEKAFNAO · pith_short_8: 5YHUU4ZO

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/5YHUU4ZOQEKAFNAOL4ARJI63IU \
  | 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: ee0f4a732e811402b40e5f0114a3db4509a864b7b4eaa7fe789b43121efe5b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0005136959c989e7f51743172626a6b4e291164c52dee66c747cd8ace1ac36fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-02T21:10:02Z",
    "title_canon_sha256": "308752972875833ce682d76d918e282c9b757c050d88414aab646e5a9703e81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00828",
    "kind": "arxiv",
    "version": 1
  }
}