Pith Number

pith:53XBC5UD

pith:2017:53XBC5UDQKR4G2HYY5VGM34TIM

not attested not anchored not stored refs pending

Game Total Domination Critical Graphs

Douglas F. Rall, Michael A. Henning, Sandi Klav\v{z}ar

arxiv:1709.06069 v1 · 2017-09-18 · 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{53XBC5UDQKR4G2HYY5VGM34TIM}

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	2026-05-18T00:34:58.344580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeee11768382a3c368f8c76a666f93433b59bdf389ad9acf1484b6d07ac70361

Aliases

arxiv: 1709.06069 · arxiv_version: 1709.06069v1 · doi: 10.48550/arxiv.1709.06069 · pith_short_12: 53XBC5UDQKR4 · pith_short_16: 53XBC5UDQKR4G2HY · pith_short_8: 53XBC5UD

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/53XBC5UDQKR4G2HYY5VGM34TIM \
  | 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: eeee11768382a3c368f8c76a666f93433b59bdf389ad9acf1484b6d07ac70361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e7c0fcdbb14f34c7ca8b3d825e22baf87aa6268d76e8e43129bf816fdb678c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-18T17:48:39Z",
    "title_canon_sha256": "930154fb83f47c23a1422ae4eaa3ca998d357fda483d34bc206bae96f0bd638d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06069",
    "kind": "arxiv",
    "version": 1
  }
}