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Pith Number

pith:W4CP5IDX

pith:2013:W4CP5IDXLC33GLS5Q4HLGRSOY4
not attested not anchored not stored refs pending

Metric Dimension of Amalgamation of Graphs

Rinovia Simanjuntak, Saladin Uttunggadewa, Suhadi Wido Saputro

arxiv:1312.0191 v2 · 2013-12-01 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W4CP5IDXLC33GLS5Q4HLGRSOY4}

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 2026-05-18T01:23:50.990204Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b704fea07758b7b32e5d870eb3464ec70c937cff89832c96ae7ace5336ca4a1b

Aliases

arxiv: 1312.0191 · arxiv_version: 1312.0191v2 · doi: 10.48550/arxiv.1312.0191 · pith_short_12: W4CP5IDXLC33 · pith_short_16: W4CP5IDXLC33GLS5 · pith_short_8: W4CP5IDX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W4CP5IDXLC33GLS5Q4HLGRSOY4 \
  | 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: b704fea07758b7b32e5d870eb3464ec70c937cff89832c96ae7ace5336ca4a1b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "848976aab83a0e68ba4e91b38ee37c64a221d367c2d904245e760345326a02df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-01T08:44:15Z",
    "title_canon_sha256": "29e2cd46bad975d91cb41b577822461cbb9035847b074daa1e1e72fec6ac1ea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0191",
    "kind": "arxiv",
    "version": 2
  }
}