Pith Number

pith:LWGHV55M

pith:2018:LWGHV55MLLVTLRVXDH7WDXGETL

not attested not anchored not stored refs pending

Cutting Lemma and Union Lemma for the Domination Game

Ga\v{s}per Ko\v{s}mrlj, Michael A. Henning, Paul Dorbec, Sandi Klav\v{z}ar

arxiv:1802.07713 v1 · 2018-02-21 · 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{LWGHV55MLLVTLRVXDH7WDXGETL}

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	2026-05-18T00:22:49.569993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8c7af7ac5aeb35c6b719ff61dcc49aec7764c022859c560522484cea14a6cc

Aliases

arxiv: 1802.07713 · arxiv_version: 1802.07713v1 · doi: 10.48550/arxiv.1802.07713 · pith_short_12: LWGHV55MLLVT · pith_short_16: LWGHV55MLLVTLRVX · pith_short_8: LWGHV55M

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/LWGHV55MLLVTLRVXDH7WDXGETL \
  | 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: 5d8c7af7ac5aeb35c6b719ff61dcc49aec7764c022859c560522484cea14a6cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778316b41cb31974338a059d81fb5e5b7698d7185a9e28c25b974607adec1234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-21T18:41:56Z",
    "title_canon_sha256": "c05bf448494bf50a8fc66fcffe88f744e9bef2b30be1e4433936faa949302f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07713",
    "kind": "arxiv",
    "version": 1
  }
}