Pith Number

pith:M4HKHKY4

pith:2013:M4HKHKY4B4N2QMOE2SHPEK55BK

not attested not anchored not stored refs pending

Metric Dimension for Gabriel Unit Disk Graphs is NP-Complete

Egon Wanke, Stefan Hoffmann

arxiv:1306.2187 v1 · 2013-06-10 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4HKHKY4B4N2QMOE2SHPEK55BK}

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	2026-05-18T03:21:22.108684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670ea3ab1c0f1ba831c4d48ef22bbd0ab4be0ab92cb3aaaa4f503bdfcca833d6

Aliases

arxiv: 1306.2187 · arxiv_version: 1306.2187v1 · doi: 10.48550/arxiv.1306.2187 · pith_short_12: M4HKHKY4B4N2 · pith_short_16: M4HKHKY4B4N2QMOE · pith_short_8: M4HKHKY4

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/M4HKHKY4B4N2QMOE2SHPEK55BK \
  | 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: 670ea3ab1c0f1ba831c4d48ef22bbd0ab4be0ab92cb3aaaa4f503bdfcca833d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fd013b605d35745ccc677054e14d1b8bf7c4c21e73bd277dc45ae0bd06ab7fe",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-06-10T12:55:16Z",
    "title_canon_sha256": "1e1c6cd24ab299361dc04550dfe08a022a86a2a4c561626f011fe4cc409b5afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2187",
    "kind": "arxiv",
    "version": 1
  }
}