Pith Number

pith:ST4SANER

pith:2024:ST4SANER3JRFT5HHUDRLPU6YS7

not attested not anchored not stored refs pending

Recognizing 2-Layer and Outer $k$-Planar Graphs

Alexander Wolff, Yasuaki Kobayashi, Yuto Okada

arxiv:2412.04042 v3 · 2024-12-05 · cs.DS · cs.CC · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ST4SANER3JRFT5HHUDRLPU6YS7}

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

Structural Parameterizations of $k$-Planarity

Receipt and verification

First computed	2026-07-05T10:47:34.285663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f9203491da6259f4e7a0e2b7d3d897f31ca8b84e990dcf99ec134313a55b6c

Aliases

arxiv: 2412.04042 · arxiv_version: 2412.04042v3 · doi: 10.48550/arxiv.2412.04042 · pith_short_12: ST4SANER3JRF · pith_short_16: ST4SANER3JRFT5HH · pith_short_8: ST4SANER

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/ST4SANER3JRFT5HHUDRLPU6YS7 \
  | 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: 94f9203491da6259f4e7a0e2b7d3d897f31ca8b84e990dcf99ec134313a55b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad4652cea100d841dfbb822b96844e1df1ac99c53a28ae5f65174a380b1c36b",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-12-05T10:31:08Z",
    "title_canon_sha256": "917990d80b0f2f4027b66b1868394ffa01dd934106188a07ecca6681ff8f743c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04042",
    "kind": "arxiv",
    "version": 3
  }
}