Pith Number

pith:V4JULZ2Y

pith:2025:V4JULZ2YZLEJYBYCXQ4PWG4FGA

not attested not anchored not stored refs pending

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

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

arxiv:2507.13777 v1 · 2025-07-18 · 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{V4JULZ2YZLEJYBYCXQ4PWG4FGA}

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	2026-07-05T11:39:22.831816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1345e758cac89c0702bc38fb1b853018381aeed2bfd7792c44d548972afde8

Aliases

arxiv: 2507.13777 · arxiv_version: 2507.13777v1 · doi: 10.48550/arxiv.2507.13777 · pith_short_12: V4JULZ2YZLEJ · pith_short_16: V4JULZ2YZLEJYBYC · pith_short_8: V4JULZ2Y

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/V4JULZ2YZLEJYBYCXQ4PWG4FGA \
  | 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: af1345e758cac89c0702bc38fb1b853018381aeed2bfd7792c44d548972afde8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94b9428f4650a103a8c967fdf5fd65662d30351eafc28b42f826c587cf62e99f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-18T09:36:29Z",
    "title_canon_sha256": "91309cf58f688461357180c94e618f5ebac4e865977e0f104b7a29bf5106eed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13777",
    "kind": "arxiv",
    "version": 1
  }
}