Pith Number

pith:QC4NPLMQ

pith:2020:QC4NPLMQBEM5UJQFMUFJQVGL7P

not attested not anchored not stored refs pending

On Rall's $1/2$-conjecture on the domination game

Csilla Bujt\'as, Kexiang Xu, Sandi Klav\v{z}ar, Vesna Ir\v{s}i\v{c}

arxiv:2006.02668 v1 · 2020-06-04 · 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{QC4NPLMQBEM5UJQFMUFJQVGL7P}

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	2026-07-05T01:07:58.919766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b8d7ad900919da2605650a9854cbfbc51ff7574b4e57849217648850e130a0

Aliases

arxiv: 2006.02668 · arxiv_version: 2006.02668v1 · doi: 10.48550/arxiv.2006.02668 · pith_short_12: QC4NPLMQBEM5 · pith_short_16: QC4NPLMQBEM5UJQF · pith_short_8: QC4NPLMQ

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/QC4NPLMQBEM5UJQFMUFJQVGL7P \
  | 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: 80b8d7ad900919da2605650a9854cbfbc51ff7574b4e57849217648850e130a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f050764d9a748a234fbd68118faca0d57bdf98228cdf590e20b2935ceafb91b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-06-04T06:54:39Z",
    "title_canon_sha256": "54cc2e2a85dec4309baa13130ee71818313fce57c4c0d0c12c079393081fabc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.02668",
    "kind": "arxiv",
    "version": 1
  }
}