Pith Number

pith:TTOJ6ZVG

pith:2019:TTOJ6ZVGGZWG5DPRI53DNX5VHR

not attested not anchored not stored refs pending

Perfect graphs for domination games

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

arxiv:1908.09513 v1 · 2019-08-26 · 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{TTOJ6ZVGGZWG5DPRI53DNX5VHR}

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	2026-07-04T23:59:40.981712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cdc9f66a6366c6e8df1477636dfb53c62221a12f9f1123373b1f8c0f9f706c7

Aliases

arxiv: 1908.09513 · arxiv_version: 1908.09513v1 · doi: 10.48550/arxiv.1908.09513 · pith_short_12: TTOJ6ZVGGZWG · pith_short_16: TTOJ6ZVGGZWG5DPR · pith_short_8: TTOJ6ZVG

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/TTOJ6ZVGGZWG5DPRI53DNX5VHR \
  | 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: 9cdc9f66a6366c6e8df1477636dfb53c62221a12f9f1123373b1f8c0f9f706c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc8c42b690861a9082427e4fb511022605edc926c8d2b001f984856eabf7650",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-26T07:48:44Z",
    "title_canon_sha256": "1bf9f12a344c410988e55fd38af1bb3612d7b617ea0f48a60536783a0663eb52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09513",
    "kind": "arxiv",
    "version": 1
  }
}