Pith Number

pith:2NHQNFR7

pith:2016:2NHQNFR7OAYWTARIOU72QF5SHV

not attested not anchored not stored refs pending

The minimum number of vertices in uniform hypergraphs with given domination number

Bal\'azs Patk\'os, Csilla Bujt\'as, M\'at\'e Vizer, Zsolt Tuza

arxiv:1603.03557 v2 · 2016-03-11 · 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{2NHQNFR7OAYWTARIOU72QF5SHV}

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	2026-05-18T01:10:59.278800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34f06963f7031698228753fa817b23d7effe6879845df1d683966e483902fa4

Aliases

arxiv: 1603.03557 · arxiv_version: 1603.03557v2 · doi: 10.48550/arxiv.1603.03557 · pith_short_12: 2NHQNFR7OAYW · pith_short_16: 2NHQNFR7OAYWTARI · pith_short_8: 2NHQNFR7

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/2NHQNFR7OAYWTARIOU72QF5SHV \
  | 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: d34f06963f7031698228753fa817b23d7effe6879845df1d683966e483902fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fafcc1e0b3f3a4463ca491a2ade9b03c3e890ca9db823b48ec1b6e18e28455f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-11T08:17:06Z",
    "title_canon_sha256": "a6d9f431434b307306ffbc1dd114fa1a1695b464d333828a8478fef7d78e00d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03557",
    "kind": "arxiv",
    "version": 2
  }
}