Pith Number

pith:EC6Z4CYK

pith:2025:EC6Z4CYKEMHVG37VSYATHGFFTR

not attested not anchored not stored refs pending

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

Federico Cor\`o, Giacomo Paesani, Neeldhara Misra, Saraswati G. Nanoti, Tiziana Calamoneri

arxiv:2507.09283 v1 · 2025-07-12 · cs.DM · cs.CC · cs.DS · 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{EC6Z4CYKEMHVG37VSYATHGFFTR}

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	2026-07-05T11:36:06.740027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20bd9e0b0a230f536ff596013398a59c4ac6a1c98bad8c678c4e6c4de07a064b

Aliases

arxiv: 2507.09283 · arxiv_version: 2507.09283v1 · doi: 10.48550/arxiv.2507.09283 · pith_short_12: EC6Z4CYKEMHV · pith_short_16: EC6Z4CYKEMHVG37V · pith_short_8: EC6Z4CYK

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/EC6Z4CYKEMHVG37VSYATHGFFTR \
  | 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: 20bd9e0b0a230f536ff596013398a59c4ac6a1c98bad8c678c4e6c4de07a064b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45bc09c5d8632c32aa7178504bf77c132a61cdb8ce407a835b968f20228939bd",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2025-07-12T13:43:19Z",
    "title_canon_sha256": "71f6582445cc3623d2f37d4862662ca753063661afe3e213449a4d30707668f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09283",
    "kind": "arxiv",
    "version": 1
  }
}