Pith Number

pith:H5B2XPMO

pith:2013:H5B2XPMOF723OVH5IJ5XNSZDYC

not attested not anchored not stored refs pending

Strong metric dimension of rooted product graphs

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

arxiv:1309.0643 v1 · 2013-09-03 · 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{H5B2XPMOF723OVH5IJ5XNSZDYC}

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	2026-05-18T03:14:18.472774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f43abbd8e2ff5b754fd427b76cb23c0b0a796b24a12a2fd83e09fe0af6f80b2

Aliases

arxiv: 1309.0643 · arxiv_version: 1309.0643v1 · doi: 10.48550/arxiv.1309.0643 · pith_short_12: H5B2XPMOF723 · pith_short_16: H5B2XPMOF723OVH5 · pith_short_8: H5B2XPMO

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/H5B2XPMOF723OVH5IJ5XNSZDYC \
  | 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: 3f43abbd8e2ff5b754fd427b76cb23c0b0a796b24a12a2fd83e09fe0af6f80b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7672935790a538c3355a95de37b0ef9103f40f6a6afc69f5df1b50f449e38106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-03T11:04:21Z",
    "title_canon_sha256": "25d4098a91235626d1053d2cfa0acb0b507a6ff0424bcb337d53bd257fb3a080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0643",
    "kind": "arxiv",
    "version": 1
  }
}