Pith Number

pith:P2PCGR3C

pith:2014:P2PCGR3CVWYHNFAOLRWXAVP6QG

not attested not anchored not stored refs pending

Minimum Bisection is NP-hard on Unit Disk Graphs

George B. Mertzios, Josep Diaz

arxiv:1404.0117 v3 · 2014-04-01 · cs.CC · 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{P2PCGR3CVWYHNFAOLRWXAVP6QG}

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	2026-05-18T00:45:30.818067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9e234762adb076940e5c6d7055fe81935c685805dd4639ff5d8f7d5819a0d1

Aliases

arxiv: 1404.0117 · arxiv_version: 1404.0117v3 · doi: 10.48550/arxiv.1404.0117 · pith_short_12: P2PCGR3CVWYH · pith_short_16: P2PCGR3CVWYHNFAO · pith_short_8: P2PCGR3C

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/P2PCGR3CVWYHNFAOLRWXAVP6QG \
  | 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: 7e9e234762adb076940e5c6d7055fe81935c685805dd4639ff5d8f7d5819a0d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bca05ce7e61ce7c503f0e09af6e167eb78ff70d72eda89f47d1f5c2cde0bad6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-04-01T03:31:55Z",
    "title_canon_sha256": "a1d1cfd12b50ab0e3ab4429ccd2aa752e8cc5c3d77f323afee9fc2268c1ceabc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0117",
    "kind": "arxiv",
    "version": 3
  }
}