Pith Number

pith:32NMJWPH

pith:2022:32NMJWPHFM24WISWOB2TBBL6FC

not attested not anchored not stored refs pending

(Eternal) Vertex Cover Number of Infinite and Finite Grid Graphs

Federico Cor\`o, Tiziana Calamoneri

arxiv:2209.05102 v1 · 2022-09-12 · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32NMJWPHFM24WISWOB2TBBL6FC}

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.

Cited by

1 paper in Pith

m-Eternal Domination and Variants on Some Classes of Finite and Infinite Graphs

Receipt and verification

First computed	2026-07-05T04:56:26.725649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9ac4d9e72b35cb2256707530857e28969ed0d530fc3857fe6686b99a30ce5d

Aliases

arxiv: 2209.05102 · arxiv_version: 2209.05102v1 · doi: 10.48550/arxiv.2209.05102 · pith_short_12: 32NMJWPHFM24 · pith_short_16: 32NMJWPHFM24WISW · pith_short_8: 32NMJWPH

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/32NMJWPHFM24WISWOB2TBBL6FC \
  | 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: de9ac4d9e72b35cb2256707530857e28969ed0d530fc3857fe6686b99a30ce5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4222019b8ffe233d8e24c32e60a39bfce8949c34622b1a4a156484cdc451cf8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2022-09-12T09:15:36Z",
    "title_canon_sha256": "ccf8ca4eaf5b7d6f2d2b8a967847d938b44f13aa2bcd695e5521469083ce4d68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05102",
    "kind": "arxiv",
    "version": 1
  }
}