Pith Number

pith:CZW5REEN

pith:2015:CZW5REENBZBWLYYPDQSPEEQRBI

not attested not anchored not stored refs pending

On the strong metric dimension of Cartesian sum graphs

Dorota Kuziak, Ismael G. Yero, Juan A. Rodr\'iguez-Vel\'azquez

arxiv:1509.01796 v1 · 2015-09-06 · 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{CZW5REENBZBWLYYPDQSPEEQRBI}

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	2026-05-18T01:33:50.540396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166dd8908d0e4365e30f1c24f212110a25cf8c15e7c69634ad39d969c5e70f92

Aliases

arxiv: 1509.01796 · arxiv_version: 1509.01796v1 · doi: 10.48550/arxiv.1509.01796 · pith_short_12: CZW5REENBZBW · pith_short_16: CZW5REENBZBWLYYP · pith_short_8: CZW5REEN

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/CZW5REENBZBWLYYPDQSPEEQRBI \
  | 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: 166dd8908d0e4365e30f1c24f212110a25cf8c15e7c69634ad39d969c5e70f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27347798eda79190b0c9c2fc624e82e66a4ef49da954f44ce868f7327ad7fa83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-06T11:25:38Z",
    "title_canon_sha256": "53c9ae6aa39dcb5f9a809b7edc20231c1481ef8ac79e03a3f0efde2f4fbb3381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01796",
    "kind": "arxiv",
    "version": 1
  }
}