Pith Number

pith:LSGVW3DH

pith:2025:LSGVW3DHIPSHGDQ5WVJM5E46OP

not attested not anchored not stored refs pending

On the weak $k$-metric dimension of Hamming graphs

Dorota Kuziak, Elena Fernandez, Ismael G. Yero, Manuel Mu\~noz-Marquez, Sandi Klavzar

arxiv:2505.19642 v1 · 2025-05-26 · 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{LSGVW3DHIPSHGDQ5WVJM5E46OP}

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	2026-07-05T11:09:33.912894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c8d5b6c6743e4730e1db552ce939e73f806e4fe29dff555626a457ae8855eec

Aliases

arxiv: 2505.19642 · arxiv_version: 2505.19642v1 · doi: 10.48550/arxiv.2505.19642 · pith_short_12: LSGVW3DHIPSH · pith_short_16: LSGVW3DHIPSHGDQ5 · pith_short_8: LSGVW3DH

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/LSGVW3DHIPSHGDQ5WVJM5E46OP \
  | 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: 5c8d5b6c6743e4730e1db552ce939e73f806e4fe29dff555626a457ae8855eec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcec6813e20da53dc6d5ddbd411ca02effd189391b2ddb5dc7d02c7fa104f913",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-26T07:59:45Z",
    "title_canon_sha256": "d63ba436ce1d7265697743628513e70e69f3a8972c740fed0380be192be15c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19642",
    "kind": "arxiv",
    "version": 1
  }
}