Pith Number

pith:LXFHOWUO

pith:2013:LXFHOWUO6N2VKFKQBSGZIUWFEH

not attested not anchored not stored refs pending

On the local metric dimension of corona product graphs

Carlos Garcia Gomez, Gabriel A. Barragan-Ramirez, Juan A. Rodriguez-Velazquez

arxiv:1308.6689 v2 · 2013-08-30 · 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{LXFHOWUO6N2VKFKQBSGZIUWFEH}

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	2026-05-18T01:20:47.627104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dca775a8ef3755515500c8d9452c521ec992ad64c27c4de977d2004692f9e2e

Aliases

arxiv: 1308.6689 · arxiv_version: 1308.6689v2 · doi: 10.48550/arxiv.1308.6689 · pith_short_12: LXFHOWUO6N2V · pith_short_16: LXFHOWUO6N2VKFKQ · pith_short_8: LXFHOWUO

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/LXFHOWUO6N2VKFKQBSGZIUWFEH \
  | 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: 5dca775a8ef3755515500c8d9452c521ec992ad64c27c4de977d2004692f9e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee4b0fdf55da4c4a50377e91e5b45ff63064ff4206148d9421be7351355fce3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-30T09:21:34Z",
    "title_canon_sha256": "3c67967f95c42b035be61882a150fd1a7595c99f476da7b03a60d8dc7d83f8af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6689",
    "kind": "arxiv",
    "version": 2
  }
}