Pith Number

pith:MGWTF7RI

pith:2025:MGWTF7RI2Q75HII4UM3R5LMJLP

not attested not anchored not stored refs pending

On the local metric dimension of $K_4$-free graphs

Ali Ghalavand, Sandi Klav\v{z}ar, Xueliang Li

arxiv:2506.00414 v1 · 2025-05-31 · 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{MGWTF7RI2Q75HII4UM3R5LMJLP}

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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

Intertwining local (adjacency) metric dimension with the clique number of a graph

Receipt and verification

First computed	2026-07-05T11:13:34.363558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ad32fe28d43fd3a11ca3371ead895bf8687c6b2450b8ae4778b27ebd1a0f2e

Aliases

arxiv: 2506.00414 · arxiv_version: 2506.00414v1 · doi: 10.48550/arxiv.2506.00414 · pith_short_12: MGWTF7RI2Q75 · pith_short_16: MGWTF7RI2Q75HII4 · pith_short_8: MGWTF7RI

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/MGWTF7RI2Q75HII4UM3R5LMJLP \
  | 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: 61ad32fe28d43fd3a11ca3371ead895bf8687c6b2450b8ae4778b27ebd1a0f2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eaf90462d308f9e1a75f35454b698f3c4d01f827877ecc35d9e2343edf5f9d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-31T06:31:09Z",
    "title_canon_sha256": "babda38dcc9ff794358a195957d2cb3a74a935244c6fa0d8a961780e50f6f0bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00414",
    "kind": "arxiv",
    "version": 1
  }
}