Pith Number

pith:LUFA7Z6C

pith:2015:LUFA7Z6CNGLXU3MQ2AMR4GH3IB

not attested not anchored not stored refs pending

The local metric dimension of strong product graphs

Gabriel A. Barragan-Ramirez, Juan A. Rodriguez-Velazquez

arxiv:1505.06155 v1 · 2015-05-22 · 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{LUFA7Z6CNGLXU3MQ2AMR4GH3IB}

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	2026-05-18T02:03:48.912559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d0a0fe7c269977a6d90d0191e18fb40467feea5bcabe61ad97f69117bd0b7a9

Aliases

arxiv: 1505.06155 · arxiv_version: 1505.06155v1 · doi: 10.48550/arxiv.1505.06155 · pith_short_12: LUFA7Z6CNGLX · pith_short_16: LUFA7Z6CNGLXU3MQ · pith_short_8: LUFA7Z6C

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/LUFA7Z6CNGLXU3MQ2AMR4GH3IB \
  | 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: 5d0a0fe7c269977a6d90d0191e18fb40467feea5bcabe61ad97f69117bd0b7a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c4dbde38df5852669dff93cd3f0d29c8084a57d1f8d8958278900c612ea800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-22T17:24:05Z",
    "title_canon_sha256": "431c1674d23a61117dc391ef8c53a8744f609fe98c149113fe881a01f350399c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06155",
    "kind": "arxiv",
    "version": 1
  }
}