Pith Number

pith:M3RWVRM3

pith:2018:M3RWVRM3FKBIBIZRANEK66IXW5

not attested not anchored not stored refs pending

(k,p)-Planarity: A Relaxation of Hybrid Planarity

Alessandra Tappini, Emilio Di Giacomo, Giuseppe Liotta, Timothy W. Randolph, William J. Lenhart

arxiv:1806.11413 v2 · 2018-06-29 · cs.DS · 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{M3RWVRM3FKBIBIZRANEK66IXW5}

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	2026-05-18T00:05:09.132879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e36ac59b2a8280a3310348af7917b773dca98fc9793cc2c7889e4e167694c2

Aliases

arxiv: 1806.11413 · arxiv_version: 1806.11413v2 · doi: 10.48550/arxiv.1806.11413 · pith_short_12: M3RWVRM3FKBI · pith_short_16: M3RWVRM3FKBIBIZR · pith_short_8: M3RWVRM3

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/M3RWVRM3FKBIBIZRANEK66IXW5 \
  | 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: 66e36ac59b2a8280a3310348af7917b773dca98fc9793cc2c7889e4e167694c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceea6a81ccc082defda8b40c579e346279800c6d1c682eb9807d9197e5a99852",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-06-29T13:44:50Z",
    "title_canon_sha256": "a8bc1c78c182e06d270eec7c0a64c8eeebc0ce5c0bc4f0b2c11b32c237974bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11413",
    "kind": "arxiv",
    "version": 2
  }
}