Pith Number

pith:6F6XMNDQ

pith:2011:6F6XMNDQUOBDCQRRHW2V63YL46

not attested not anchored not stored refs pending

Complexity of Metric Dimension on Planar Graphs

Erik Jan van Leeuwen, Josep Diaz, Maria Serna, Olli Pottonen

arxiv:1107.2256 v5 · 2011-07-12 · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6F6XMNDQUOBDCQRRHW2V63YL46}

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.

Cited by

1 paper in Pith

Fault Tolerant Metric Dimensions of Leafless Cacti Graphs with Application in Supply Chain Management

Receipt and verification

First computed	2026-05-18T01:11:13.917389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f17d763470a3823142313db55f6f0be7ad08cade60f5a3467d98c5b2ff97c194

Aliases

arxiv: 1107.2256 · arxiv_version: 1107.2256v5 · doi: 10.48550/arxiv.1107.2256 · pith_short_12: 6F6XMNDQUOBD · pith_short_16: 6F6XMNDQUOBDCQRR · pith_short_8: 6F6XMNDQ

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/6F6XMNDQUOBDCQRRHW2V63YL46 \
  | 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: f17d763470a3823142313db55f6f0be7ad08cade60f5a3467d98c5b2ff97c194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c924190fc20a7932a9db5191c457da41fc9a9fedd73656abcfe586430b0611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-07-12T12:07:33Z",
    "title_canon_sha256": "a81121dee11335c1923e78af84ecc3ec1fb555e24e327ad9ee2b6b45a1b43f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2256",
    "kind": "arxiv",
    "version": 5
  }
}