Pith Number

pith:XPGP7VWX

pith:2013:XPGP7VWXUYUSPBBPOOLCO5KPKY

not attested not anchored not stored refs pending

The k-metric dimension of a graph

Alejandro Estrada-Moreno, Ismael G. Yero, Juan A. Rodr\'iguez-Vel\'azquez

arxiv:1312.6840 v3 · 2013-12-24 · 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{XPGP7VWXUYUSPBBPOOLCO5KPKY}

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

Fault Tolerant Metric Dimensions of Leafless Cacti Graphs with Application in Supply Chain Management

Receipt and verification

First computed	2026-05-18T02:27:58.823160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbccffd6d7a62927842f739627754f561667ce711588bcad9877c472d1d706df

Aliases

arxiv: 1312.6840 · arxiv_version: 1312.6840v3 · doi: 10.48550/arxiv.1312.6840 · pith_short_12: XPGP7VWXUYUS · pith_short_16: XPGP7VWXUYUSPBBP · pith_short_8: XPGP7VWX

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/XPGP7VWXUYUSPBBPOOLCO5KPKY \
  | 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: bbccffd6d7a62927842f739627754f561667ce711588bcad9877c472d1d706df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2c3fbab7197a905776928e5f24a911d8358c53b7ad34403b05a98f6f4dc07a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-24T15:16:41Z",
    "title_canon_sha256": "eac0e257a3577240caaccecfdd6ec30cab2b12c77bd157f3cdcbf7b30cbb94b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6840",
    "kind": "arxiv",
    "version": 3
  }
}