pith. sign in
Pith Number

pith:JPVPCHDB

pith:2010:JPVPCHDBGPNFSCWSGA53XQDR3X
not attested not anchored not stored refs pending

Corrections to the article "The metric dimension of graph with pendant edges" [Journal of Combinatorial Mathematics and Combinatorial Computing, 65 (2008) 139--145]

D. Kuziak, I. G. Yero, J. A. Rodriguez-Velazquez

arxiv:1010.1784 v1 · 2010-10-08 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JPVPCHDBGPNFSCWSGA53XQDR3X}

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 2026-05-18T04:39:38.521211Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4beaf11c6133da590ad2303bbbc071ddd573697a57f7616e960a8ffe92da48e0

Aliases

arxiv: 1010.1784 · arxiv_version: 1010.1784v1 · doi: 10.48550/arxiv.1010.1784 · pith_short_12: JPVPCHDBGPNF · pith_short_16: JPVPCHDBGPNFSCWS · pith_short_8: JPVPCHDB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JPVPCHDBGPNFSCWSGA53XQDR3X \
  | 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: 4beaf11c6133da590ad2303bbbc071ddd573697a57f7616e960a8ffe92da48e0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "423644f073652427ac524b61ca6bbe739a5f7c9a81b3b21d42713bc91a54d86a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-08T21:09:09Z",
    "title_canon_sha256": "67b8ff68ae0f8ddccafe8fd1e497ad96dbc2f7c64f634c8e251add3d85158745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1784",
    "kind": "arxiv",
    "version": 1
  }
}